HMT 2015 Manual

75
Heat and Mass Transfer Laboratory Dept. of Mechanical Engineering, MSEC, Bangalore. 1 Department of Mechanical Engineering M S Engineering College Bengaluru-520110 HEAT AND MASS TRANSFER LAB MANUAL SUBJECT CODE:10MEL67 Student name : USN : Signature : Faculty Signature

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mechanical

Transcript of HMT 2015 Manual

  • Heat and Mass Transfer Laboratory

    Dept. of Mechanical Engineering, MSEC, Bangalore.

    1

    Department of Mechanical Engineering

    M S Engineering College

    Bengaluru-520110

    HEAT AND MASS TRANSFER

    LAB MANUAL

    SUBJECT CODE:10MEL67

    Student name :

    USN :

    Signature : Faculty Signature

  • Heat and Mass Transfer Laboratory

    Dept. of Mechanical Engineering, MSEC, Bangalore.

    2

    GENERAL GUIDELINES

    1. Students should wear Identity card all the time. Students without the same will not be allowed to

    enter either the class room or the lab.

    2. Students should be in time for the Laboratory class and subsequent classes thereafter.

    3. Students should keep the Classroom and Laboratories clean and tidy.

    4. Students should bring the observation book as well as the laboratory record book completed in

    all respect to the laboratory.

    5. Students are supposed to fill in the columns in the LOG BOOK at the time of entering the Labs.

    6. Students who fail to get minimum 50% marks in Internal assessment of Practical will fall in

    NSSR category and / or not eligible to take up Examination.

    7. Students are to maintain absolute discipline and decorum, so as to promote the fair name of their

    department and college in all its activities

    8. Students are informed to clarify their doubts in the respective subjects with the faculty by taking

    prior appointments..

    9. Students having less the 85% attendance in any subject (both Theory and Practical) will not be

    allowed to take up the university examination.

    10. Parents are to follow the progress of their wards by being in touch with the college authorities at

    regular intervals.

    11. Writing on desks and walls is strictly prohibited, failing which the students will be punished.

    12. Attendance of the students will be displayed on the department notice board at the end of the

    each month.

    13. Students are not supposed to alter the configuration of the system/ or any software on the

    system.

    14. Final examination of 3 hrs duration.

    15. Those students who have less than 85% attendance should sign the undertaking given by their

    class teachers.

    Note: Please do not submit incomplete report.

    Student signature

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    LIST OF EXPERIMENTS

    *DOC- Date Of Conducted

    *DOS-Date Of Submitted

    Sl

    No Name Of The Experiment Page

    No DOC* DOS* Marks

    Faculty

    Sign

    Part A

    01 Determination of Thermal

    Conductivity of a metal Rod.

    02

    Determination of Overall heat

    Transfer Coefficient of a Composite

    wall

    03 Determination of Effectiveness on

    metallic Fin

    04

    Determination of heat transfer

    Coefficient in a free Convection on a

    vertical tube

    05

    Determination of heat Transfer

    Coefficient in a Forced Convection

    Flow through a pipe

    06 Determination of Emissivity of a

    Surface.

    Part B

    07 Determination of Steffan- Boltzman

    Constant.

    08

    Determination of LMTD and

    Effectiveness in a Parallel Flow and

    counter Flown heat Exchanger

    09 Experiments on Boiling of Liquid and

    Condensation of vapour

    10 Performance Test on Vapour

    Compression Refrigeration.

    11 Performance Test on Vapour

    Compression Air Conditioner

    12 Experiment on Transient Conduction

    heat Transfer.

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    EXPERIMENT NO. 1

    Thermal Conductivity Of Metal Rod Date:

    Introduction:

    Thermal conductivity is the physical property of material denoting the ease with a particular

    substance can accomplish the transmission of thermal energy by molecular motion. Thermal

    conductivity of a material is found, to depend on the chemical composition of the substances of

    which it is a composed, the phase (i.e. gas, liquid or solid) in which its crystalline structure if a

    solid, the temperature & pressure to which it is subjected and whether or not it is homogeneous

    material.

    Thermal energy in solids may be conducted in two modes.

    They are:

    - Lattice vibration:

    - transport by free electrons.

    In good electrical conductors a rather large number of free electrons move about in a lattice

    structure of the material. Just as these electrons may transport may transport electric charge, they

    may also carry thermal energy from a high temperature region to low temperature region. In fact,

    these electrons are frequently referred as the electron gas. Energy may also be transmitted as

    vibrational energy in the lattice structure of the material. In general, however, this latter mode of

    energy transfer is not as large as the electron transport and it is for this reason that good

    electrical conductors are almost always good heat conductors, for eg: ALUMINIUM, COPPER

    & SILVER.

    With the increase in temperature, however the increased lattice vibrations come in the way of

    electron transport by free electrons and for most of the pure metals the thermal conductivity

    decreases with the increase in the temperature.

    Experimental set up: The experimental set up consists of a metal bar, one end of which is

    heated by an electrical heater while the other end projects inside a cooling water jacket. The

    heater is provided with a dimmerstat for controlling the heat input .The middle portion is

    surrounded by a cylindrical shell filled with insulating powder and thermocouples are placed on

    the bar for temperature measurement. Water under the constant head is circulated through the

    jacket and its flow rate and temperature rise are measured using rotameters and thermocouples.

    Apparatus: Metal rod, Heater, Rotameter, Thermocouples, Power supply panel, etc.

    Experimentation:

    Aim: To find out the THERMAL CONDUCTIVITY of given metal rod.

    Procedure:

    Give necessary electrical and water connections to the instrument. Switch on the MCB and console ON to activate the control panel. Give input to the heater by slowly rotating the heater regulator. Start the cooling water supply through the water jacket (make sure not to exceed 3lpm). Note the temperature at different points, when steady state is reached. Repeat the experiment for different heater input.

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    After the experiment is over, switch off the electrical connections, allow the water to flow for some time in the water jacket and then stop it.

    Specifications:

    Room temperature (T) =---------o C

    Diameter of metal rod (d)=----------m

    Length of the metal bar (L)= _____m

    Distance between each thermocouples, X = ______m

    Figure 1.1 Graphical representation of Thermal Conductivity of Metal Rod.

    Figure 1.2 Setup of Thermal Conductivity of Metal Rod.

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    Tabular Column

    Calculations:

    Cross sectional area of metal rod: A= 4

    . 2d = ------------------ m

    2

    d = Diameter of the rod in m.

    Mass flowrate of water, m = 60

    R---------------kg/ sec.

    Where,

    R = Rotameter reading in lpm.

    Heat input , QI = V I =-------------------- W

    Where V = Voltage. (Volts)

    I = Current (amps)

    Heat absorbed by water, QW = m Cp (T8-T9) =------------------W

    Where m = mass flow rate of water. (Kg/s)

    Cp = specific heat of water = 4.178 (KJ/ kg K) (T8 - T9) = difference between of water at inlet and outlet.(K)

    Sl.

    no

    Mass flow

    rate

    Volt

    V

    Amp

    I

    Room

    Temp

    T1

    Surface temp. of metal rod

    Water temp.

    Q I

    V I ( W)

    Q W

    (W)

    Thermal

    conductivity

    k

    (W/m-k)

    lpm

    Kg/s

    T2

    T3

    T4

    T5

    T6

    T7

    inlet

    T8

    outlet

    T9

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    4. Plot the graph of temperature T v/s distance X (Fig 1.2), from the best fitting straight line for

    temperatures T2, T3, T4, T5, T6 and T7, Average temperature gradient (slope). dX

    dTis calculated.

    dT

    dX

    T C

    X in m

    T2

    T3

    T4T5

    T6

    T7

    Figure. 1.3 Graph of Temperature versus Distance

    5. Heat transfer through metal rod is given by QW = -kA dX

    dT =--------------W

    Hence, k = -

    dX

    dTA

    WQ=---------------------W/mK

    Where k = Thermal conductivity in W/m-K

    A = Cross section area of metal rod

    dX

    dT= Temperature gradient Slope from graph T vs X

    Result: The thermal conductivity of given material was found to be k = W/ m-K.

    Precautions:

    Do not give heater input without the supply of water. Input should be given very slowly. Run the water in the jacket for about 5 min after the experiment. Do not run the equipment if the voltage is below 180V. Check all the electrical connections before running.

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    Before starting and after finishing the experiment the heater controller should be in off position.

    Do not attempt to alter the equipment as this may cause damage to the whole system.

    Point for Discussion

    (1) Compare the experimental value of k with the standard value at the average temperature of the set of observations.

    (2) Is there any specific reason why the water jacket is circulated on one end of the rod. Comment on it.

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    EXPERIMENT NO. 2

    Composite Wall Apparatus Date:

    Introduction:

    In engineering applications, we deal with many problems. Heat Transfer through composite

    walls is one of them. It is the transport of energy between two or more bodies of different

    thermal conductivity arranged in series or parallel. For example, a fastener joining two mediums

    also acts as one of the layers between these mediums. Hence, the thermal conductivity of the

    fastener is also very much necessary in determining the overall heat transfer through the

    medium. An attempt has been made to show the concept of heat transfers through composite

    walls.

    Apparatus: Given Composite wall, Heater, Set of Thermocouples, Power Supply panel,

    Channel Temperature Indicator and necessary connections.

    Experimental set up: The experimental set up consists of three slabs of different materials of

    same thickness clamped in the centre using screw rod. At the centre of the composite wall, a

    heater is fitted. End losses from the composite wall are minimized by providing thick insulation

    all rounds to ensure unidirectional heat flow.

    Thermocouples are fitted at the interface of the plates at different points as to obtain average

    temperature for each surface. Heat conducted through the composite wall is taken away by

    atmospheric air.

    Experimentation:

    Aim: To Determine the overall heat Transfer coefficient of a composite wall. Procedure:

    Symmetrically arrange the plates and ensure perfect contact between the plates. Switch ON mains and the CONSOLE. Set the heater regulator to the known value. Wait for sufficient time to allow temperature to reach steady values. Note down the Temperatures 1 to 7 using the channel selector and digital temperature

    indicator.

    Note down the ammeter and voltmeter readings. Calculate the overall conductance using the procedure given below. Repeat the experiment for different heat input.

    Specification:

    1. Mild Steel _______ mm thick of _______mm dia.

    2. Wood ________ mm thick of ________ mm dia.

    3. Copper _______ mm thick of ________ mm dia.

    4. Heater _______ watts.

    5. Thermocouples ______ Nos.

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    Figure 2.1 Schematic diagram of composite wall apparatus

    Figure 2.2 Test Setup of Composite Wall Apparatus

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    Tabular Column :

    Sl No Voltage

    V Volts

    Current

    I Amps

    Temperatures ( 0C ) Water inlet

    temperature

    T8(0C )

    Water outlet

    temperature

    T9(0C ) T1 T2 T3 T4 T5 T6 T7

    Calculations:

    (a) Heat flow through composite wall Q = V x I=----------------- W

    Q = 1

    3211 )(

    L

    TTAk =

    2

    5422 )(

    L

    TTAk =

    3

    7633 )(

    L

    TTAk ----------------(1)

    k1 = Thermal conductivity of copper (W/m K). L1 = thickness of copper.

    k2 = Thermal conductivity of Wood (W/m K). L2 = thickness of wood.

    k3= Thermal conductivity of Mild steel (W/m K). L3 = thickness of Mild Steel.

    From equation ..(1)

    k1 = )( 321

    1

    TTA

    QL

    =-------------------------------

    Where A= 4

    . 2dd = Diameter of the slab

    k2 = )( 542

    2

    TTA

    QL

    =--------------------------------

    A1 = A2 = A3 = A.

    k3 = )( 763

    3

    TTA

    QL

    =--------------------------------

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    (b) Overall heat transfer coefficient (Uo)

    Uo = 1

    1

    k

    L+

    2

    2

    k

    L+

    3

    3

    k

    L=----------------------------

    Unit (Km

    W

    2)

    Tabulation :-

    Sl.

    No

    k1

    (Km

    W

    )

    k2

    (Km

    W

    )

    k3

    (Km

    W

    )

    Overall heat transfer

    co-efficient (U0)

    (Km

    W

    2)

    Result: The Overall heat transfer co-efficient of given composite slab was found to be

    U0 = _____W/ m2-K.

    Precautions:

    1. Check all the electrical connections.

    2. Do not run the equipment if the voltage is below 180V.

    3. Do not attempt to alter the equipment as this may cause damage to the whole system.

    Points for discussion:-

    1) Comment on the experimental set up,its validity and accuracy. 2) Overall heat transfer co-efficient can also be calculated without the requirement of

    intermediate temperatures.comment on it.

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    EXPERIMENT NO. 3

    Heat Transfer through Pin Fin Apparatus Date:

    Introduction:

    A spine or pin-fin is an extended surface of cylindrical or conical shape used for increasing the

    heat transfer rates from the surfaces, whenever it is not possible to increase the rate of heat

    transfer either by increasing heat transfer co-efficient or by increasing the temperature difference

    between the surface and surrounding fluids.

    The fins are commonly used on engine heads of scooter, motorcycles, as well as small capacity

    compressors. The pin type fins are also used on the condenser of a domestic refrigerator.

    Experimental set up:

    The experimental set up consists of a blower unit having a rectangular duct inside which the pin

    fin is fitted. One end of the pin fin is connected to heater. Five thermocouples are embedded on

    the fin surface.Blower along with the orifice is used to measure flow of air through the duct.

    Input to heater is given through dimmerstat and measured by voltmeter and ammeter. Air flow is

    controlled by the gate valve and is measured with the help of orifice meter and the manometer

    fitted on the board.

    Experimentation:

    Aim: To determine the efficiency and effectiveness of the fin by natural convection and forced

    convection using pin fin apparatus.

    Procedure :

    (a) Natural Convection:

    Switch on the MCB and then console on switch to activate the control panel. Switch on the heater and regulate the power input using the heater regulator. Wait for reasonable time to allow temperatures to reach steady state. Measure the voltage, current and temperatures from T1 toT6 at known time interval. Calculate the effectiveness & efficiency of the fin using the procedure given. Repeat the experiment for different values of power input to the heater.

    (b) Forced Convection:

    Switch on the MCB and then console on switch to activate the control panel. Switch on the heater and regulate the power input using the heater regulator. Switch on the blower unit and adjust the flow of air using gate valve of blower to a

    desired difference in manometer (for forced flow only otherwise skip to step 4).

    Wait for reasonable time to allow temperatures to reach steady state. Measure the voltage, current and temperatures at known time interval. Calculate the effectiveness & efficiency of the fin using the procedure given. Repeat the experiment for different values of power input to the heater and blower air

    flow rates.

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    Pin fin

    Gate valve

    orificeGI Pipe

    To u-TubeManometer

    T T T T T1 2 3 4 5

    Temperature Indicator

    AmmeterVoltmeter

    Dimmerstat

    Blower

    Fig 3.1(a) Pin fin apparatus

    Fig 3.2(b) Pin fin enlarged

    .

    Figure 3.2 Setup of Heat Transfer through Pin Fin Apparatus

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    Tabular Column (Natural convection):-

    Sl.

    No.

    Voltage

    ( V )

    Volts

    Current

    ( I )

    Amps

    Power

    Q=VI

    Watts

    Temperature at different point

    in the outer surface of cylinder

    hnatural W/m

    2-K

    T1 T2 T3 T4 T5 T6

    Calculations:

    (1) Experimental Efficiency of pin fin(exp) A graph of T(x) versus x is plotted and the curve is plotted and the curve is extrapolated to

    intersect the temperature axis.Then the value of T(x) @ x =0 and dX

    dT@ x = 0 are read from the

    graph.

    Tem

    p.

    Distance, X (m)

    dX

    dT

    X = 0

    Figure 3.3 Graph of temperature versus length of the rod.

    From the graph,T(x)@ x = 0 = ________ , dX

    dT@ x = 0 = _______ .

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    The efficiency of the pin fin experimentally is given by

    exp = maxfin

    fin

    Q

    Q

    Where, Qfin = - kA dX

    dT@ x = 0

    A = Area of cross section of metal rod, A= 4

    . 2d = ________ m

    2

    d = Diameter of the pin fin . ( m.)

    (Qfin)max = h.AS.( T0 T) + S.( T04 T

    4)

    now AS = .d.l. (m2)

    (2) Theoritical Efficiency of pin fin(theo)

    theo = ml

    mltanh

    Where, m = Ak

    Ph

    f .

    .

    h = heat transfer coefficient of fin

    P = Perimeter of fin (D)

    kf = thermal conductivity of pin fin = 110 (Km

    W

    )

    A= Area of fin= 4

    . 2d (d = Diameter of the pin fin, m), m2

    l = Length of pin fin, m

    To find heat transfer coefficient of fin(h)

    (i) Film temperature, Tf =2

    TaTs ( C )

    Where, Ts = Surface temperature of the cylinder =5

    65432 TTTTT (K)

    Ta =T1 = ambient temperature (K)

    Properties of air at the film temperature (Tf) is obtained from data book, hence determine

    Density, = Specific heat, Cp =

    Kinematic viscosity, = Thermal conductivity, k =

    Prandtl number, Pr =

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    (ii) Grassoff number Gr =2

    3...

    dg

    Where,

    = Co-efficient of thermal expansion = )273(

    1

    fT. (K

    -l )

    T = Tf -T1. (K)

    d = Diameter of the pin fin. (m)

    = Kinematic viscosity. (m2 /s)

    Ra. No = Gr Pr =

    From heat transfer Data hand book corresponding to this value of Rayleigh number Ra, the

    nusselt number(Nu) is given by

    For 10-1

    < Gr Pr < 104, Nu = 0.68 +444.0

    5625.0

    25.0

    Pr

    492.01

    Pr)(67.0

    Gr

    For 104 < Gr Pr < 109, Nu = 0.59 (Gr Pr)0.25

    For 109 < Gr Pr < 1012, Nu = 0.13 (Gr Pr)0.33

    Hence,

    Nu =k

    lh.. Or

    h = l

    kNu..

    Where, h = natural heat transfer co-efficient, h. (Km

    W

    2)

    (3) Effectiveness of Fin,

    Pk

    Ah

    ml

    f .

    .

    )tanh(

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    Tabular Column (Forced convection) :-

    Sl.

    No.

    Voltage

    ( V )

    Volts

    Current

    ( I )

    Amps

    Power

    W=VI

    Watts

    Temperature at different

    point in the outer surface

    of cylinder

    Manometer

    Readings

    Hw=h1- h2

    hnat

    (Km

    W

    2)

    T1 T2 T3 T4 T5 T6

    Calculations:

    (1) Experimental Efficiency of pin fin

    A graph of T(x) versus x is plotted and the curve is plotted and the curve is extrapolated to

    intersect the temperature axis.Then the value of T(x) @ x =0 and dX

    dT@ x = 0 are read from the

    graph.

    Tem

    p.

    Distance, X (m)

    dX

    dT

    X = 0

    Figure 3.4 Graph of temperature versus length of the rod.

    From the graph,T(x)@ x = 0 = ________ , dX

    dT@ x = 0 = _______ .

    The efficiency of the pin fin experimentally is given by

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    exp = maxfin

    fin

    Q

    Q

    Where, Qfin = - kA dX

    dT@ x = 0

    A = Area of cross section of metal rod, A= 4

    . 2d = ________ m

    2

    d = Diameter of the pin fin . ( m.)

    (Qfin)max = h.AS.( T0 T) + S.( T04 T

    4)

    now AS = .d.l. (m2)

    (2) Theoritical Efficiency of pin fin(theo)

    theo = ml

    mltanh

    Where, m = Ak

    Ph

    f .

    .

    h = heat transfer coefficient of fin

    P = Perimeter of fin (D)

    kf = thermal conductivity of pin fin = 110 (Km

    W

    )

    A= Area of fin= 4

    . 2d (d = Diameter of the pin fin, m), m2

    l = Length of pin fin, m

    To find heat transfer coefficient of fin(h)

    (i) Film temperature, Tf =2

    TaTs . ( C )

    where, Ts = Surface temperature of the cylinder =5

    65432 TTTTT . (K)

    Ta = T1= ambient temperature. (K)

    Properties of air at the film temperature (Tf) is obtained from data book,hence determine

    Density, = Specific heat, Cp =

    Kinematic viscosity, = Thermal conductivity, k =

    Prandtl number, Pr =

    (2) Discharge q = Cd A0 aHg.2

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    Where,

    Cd = 0.65

    A0 = 4

    2

    od

    do = Diameter of orifice

    Ha = Head of air = w Hw/ a

    w = 1000 kg/m3

    a = 1.2 kg/m3

    (3) Velocity v =A

    q. (m

    2)

    (4) Reynolds No. Re = vd /

    Where,

    d = Diameter of the pin fin. (m)

    v = Velocity of the air. (m/s)

    From heat transfer Data hand book corresponding to this value of Reynolds number, the nusselt

    number(Nu) is given by

    Nu = 0.618 (Re )0.466

    , if 40 < Re < 4000

    Nu = 0.174 (Re )0.618

    , if 4000 < Re < 40,000.

    Hence,

    Nu =k

    lh.. Or

    h = l

    kNu..

    Where, hnat = natural heat transfer co-efficient, h. (Km

    W

    2)

    (3) Effectiveness of Fin,

    Pk

    Ah

    ml

    f .

    .

    )tanh(

    Result:- Natural convection theo = ______ , exp = _______ ,

    forced convection theo = ______ , exp = _______,

    Precautions:

    Check all the electrical connections.

    Do not run the equipment if the voltage is below 180V.

    Do not obstruct flow of air while experiment is going on.

    Do not turn the heater regulator to the maximum as soon as the equipment is started.

    Do not attempt to alter the equipment as this may cause damage to the whole system.

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    Points for discussion:-

    (1) If the readings are taken when the steady state is yet to be reached,how will the accuracy of

    the results will be affected.

    (2) From the observations taken in this experiment, explain how would you determine the

    thermal conductivity of the material of the fin.

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    EXPERIMENT NO. 4

    Free or Natural Convection Date:

    Introduction:

    There are certain situations in which the fluid motion is produced due to change in density

    resulting from temperature gradients. The mechanism of heat transfer in these situations is called

    free or natural convection. Free convection is the principal mode of heat transfer from pipes,

    transmission lines, refrigerating coils, hot radiators etc. The movement of fluid in free

    convection is due to the fact that the fluid particles in the immediate vicinity of the hot object

    become warmer than the surrounding fluid resulting in a local change of density. The colder

    fluid creating convection currents would replace the warmer fluid. These currents originate when

    a body force (gravitational, centrifugal, electrostatic etc) acts on a fluid in which there are

    density gradients. The force, which induces these convection currents, is called a buoyancy force

    that is due to the presence of a density gradient within the fluid and a body force. Grashoffs

    number a dimensionless quantity plays a very important role in natural convection.

    Experimental set up:

    The apparatus consists of a brass tube fitted in a rectangular duct in a vertical position. The duct

    is open at the top and bottom and forms an enclosure and serves the purpose of undisturbed

    surrounding. An electric heating element is kept in the vertical tube which in turn heats the tube

    surface. The heat is lost from the tube to the surrounding air by natural convection. The

    temperature of the vertical tube is measured by six thermocouples. The heat input to the heater is

    measured by an Ammeter and a Voltmeter and is varied by a dimmerstat. The tube surface is

    polished to minimize the radiation losses.

    Experimentation:

    Aim: To determine the heat transfer co-efficient for natural convection using the given

    apparatus.

    Procedure:

    Keep the tube in the vertical position. Switch on MCB and then CONSOLE ON switch. Switch on the heater and set the voltage (say 40V) using heater regulator and the digital

    voltmeter.

    Wait for sufficient time to allow temperature to reach steady values. Note down the Temperatures using the channel selector and digital temperature indicator. Note down the ammeter and voltmeter readings. Calculate the convection heat transfer co-efficient using the procedure given below.

    Repeat the experiment for different heat inputs.

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    Specifications:

    Diameter of chromium plated brass tube =

    Length of brass tube =

    Brass tube wall thickness =

    Distance between thermocouples =

    Thermocouples (T2- T7)

    230 V50 Hz

    HeatingElementBrass

    Tube

    Wattmeter

    Dimmerstat

    Enclosure

    Figure 4.1 Schematic Diagram of test set up for free convection

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    Figure 4.2 Photograph of test set up for natural convection.

    Tabular column:

    Sl.

    No.

    Voltage

    ( V )

    Volts

    Current

    (I)

    Amps

    Power

    W=VI

    Watts

    Temperature at different point in the

    outer surface of cylinder

    Heat transfer co-

    efficient W/m2-K

    T1 T2 T3 T4 T5 T6 T7 hexp htheo

    Calculations:

    I. Experimental Method

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    Experimental heat transfer co-efficient, hexp =)( aSS TTA

    Q

    .

    Where

    Q = Rate of heating, = V x I, watts.

    A =dl, Where,

    d = Diameter of cylinder rod. (m)

    l = length of cylinder. (m)

    II. Analytical (Theoretical) Method

    (i) Film temperature, Tf =2

    TaTS . ( C )

    Ts = Surface temperature of the cylinder =6

    765432 TTTTTT (K)

    Ta = T1 =ambient temperature. (K)

    Properties of air at the film temperature (Tf) is obtained from data book, hence determine

    Density, = Specific heat, Cp =

    Kinematic viscosity, = Thermal conductivity, k =

    Prandtl number, Pr =

    (ii) Grassoff number Gr = 2

    3...

    clg

    Where,

    = Co-efficient of thermal expansion = )273(

    1

    fT. ( K

    -l )

    T = Tf -T1. ( K)

    lc = characteristic length = length of the vertical cylinder . (m)

    = Kinematic viscosity. (m2 /s)

    Ra.No = Gr Pr =

    From heat transfer Data hand book corresponding to this value of Rayleigh number Ra, the

    nusselt number(Nu) is given by

    For 10-1

    < Gr x Pr < 104, search a suitable correlation from data hand book.

    For 104 < Gr x Pr < 10

    9, Nu = 0.59 (Gr Pr)0.25

    For 109 < Gr x Pr < 10

    12, Nu = 0.13 (Gr Pr) 0.33

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    Hence,

    Nu =k

    lhtheo. . or

    htheo = l

    kNu..

    Where, hnat = natural heat transfer co-efficient, h. (Km

    W

    2)

    The heat transfer co-efficient for the vertical tube was found to be _______ Km

    W

    2

    Result : The co-efficient of heat transfer by experiment is

    hexp =

    The co-efficient of heat transfer by theoretical is

    htheo =

    Precautions:

    Check all the electrical connections.

    Do not run the equipment if the voltage is below 180V.

    Make sure that heater regulator is at the minimum position before switching on the console.

    Do not attempt to alter the equipment as this may cause damage to the whole system.

    Points for Discussion :

    1. List of various precautions observed during experimentation. 2. Comment upon the values of heat transfer coefficient obtained experimentally and the

    one by using correlations.

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    EXPERIMENT NO. 5

    Forced convection Date:

    Introduction: Convection is a process of Heat transfer involving motion of fluid

    molecules.When the motion of fluid molecules is induced by some external agency such as

    pump or a blower, the process is called forced convection. The intensity of the mixing motion is

    generally high in forced convection and consequently the heat transfer coefficients are higher

    than free convection. The heat transfer coefficient h can be obtained from Newton law of

    convection.

    Q = hAs (Ts - T)

    Where,

    As - Surface area. (m2).

    (Ts - T) - Temperature difference between the surface and fluid. (K).

    h - Surface heat transfer co-efficient (ranges from 10 - 500 Km

    W

    2for forced convection).

    Experimental set up: The experimental set up consists of a blower unit fitted with the test pipe.

    The test section is surrounded by band heater. Seven thermocouples are embedded on the test

    section and two thermo couples are placed in the air stream at the entrance and exit of the test

    section to measure the air inlet and outlet temperatures. Test pipe is connected to the delivery

    side of the blower along with the orifice to measure flow of air through the pipe. Input to heater

    is given through dimmerstat and measured by voltmeter and ammeter. Air flow is controlled by

    the gate valve and is measured with the help of orifice meter and the manometer fitted on the

    board.

    Experimentation:

    Aim: To determine the Forced Convection heat transfer coefficient for flow through the given

    Horizontal tube cylinder.

    Procedure:

    Keep the tube in the vertical position. Switch on MCB and then CONSOLE ON switch. Switch on the heater and set the voltage (say 40V) using heater regulator and the digital

    voltmeter.

    Switch on the blower unit and adjust the flow of air using gate valve of blower to a desired difference in manometer.

    Wait for sufficient time to allow temperature to reach steady values. Note down the Temperatures using the channel selector and digital temperature indicator. Note down the ammeter and voltmeter readings. Calculate the convection heat transfer co-efficient using the procedure given below.

    Repeat the experiment for different heat inputs.

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    Specifications:

    1 Coefficient of discharge of orifice meter Cd = _______ 2 Length of the hallow pipe L= ______ 3 Orifice diameter do = _______ 4 Inside pipe diameter d = ______

    Ammeter

    Dimmerstat

    Temperature Indicator Voltmeter

    Blower

    Test SectionTo U-Tube Manometer

    Air Exit

    Figure 5.1 Schematic Diagram of forced convection test set up.

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    Figure 5.2 Photograph of test set up for Forced convection.

    I. Experimental Method

    Experimental heat transfer co-efficient, hexp = Q /As (Ts - Ta)

    Where

    Q = Rate of heating, = V x I, watts.

    As = dl, Where,

    d = Diameter of cylinder rod

    l = length of cylinder

    II. Analytical (Theoretical) Method

    (1) Bulk mean temperature, Tm = T1+T7 / 2. ( C )

    Where, T1 = Air inlet temperature. (K)

    T7 = Air outlet temperature. (K)

    Properties of air at the film temperature (Tf) is obtained from data book, hence determine

    Density, = Specific heat, Cp = Kinematic viscosity, = Thermal conductivity, k = Prandtl number, Pr

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    (2) Discharge q = Cd A0 aHg.2

    Where,

    Cd = Co-efficient of discharge = 0.65

    A0 = 4

    .2

    od

    do = Diameter of orifice

    Ha = Head of air = w Hw/ a

    w = 1000 kg/m3

    a = 1.2 kg/m3

    (3) Velocity v =A

    q. (m

    2)

    (4) Reynolds No. Re = vd /

    Where,

    d = Diameter of the cylinder, (m)

    v = Velocity of the air. (m/s)

    From heat transfer Data hand book corresponding to this value of Reynolds number, the nusselt

    number(Nu) is given by

    Nu = 0.618 (Re )0.466

    , if 40 < Re < 4000

    Nu = 0.174 (Re )0.618

    , if 4000 < Re < 40,000.

    Hence,

    Nu =k

    dhtheo. . Or

    htheo= d

    kNu..

    Where, htheo = Theoritical heat transfer co-efficient, (Km

    W

    2)

    Result : The co-efficient of heat transfer by experiment is

    hexp =

    The co-efficient of heat transfer by theoretical is

    htheo =

    Points for Discussion :

    (1) List of various precautions observed during experimentation.

    (2) Comment upon the values of heat transfer coefficient obtained experimentally and the

    one by using correlations.

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    EXPERIMENT NO. 6

    Emissivity Measurement Date:

    Introduction:

    Radiation is one of the modes of heat transfer, which does not require any material medium for

    its propagation. All bodies can emit radiation & have also the capacity to absorb all or a part of

    the radiation coming from the surrounding towards it. The mechanism is assumed to be

    electromagnetic in nature and is a result of temperature difference. Thermodynamic

    considerations show that an ideal radiator or black body will emit energy at a rate proportional to

    the fourth power of the absolute temperature of the body. Other types of surfaces such as glossy

    painted surface or a polished metal plate do not radiate as much energy as the black body,

    however the total radiation emitted by these bodies still generally follow the fourth power

    proportionality. To take account of the gray nature of such surfaces, the factor called emissivity

    (), which relates the radiation of the gray surface to that of an ideal black surface, is used. The emissivity of the surface is the ratio of the emissive power of the surface to the emissive power

    of the black surface at the same temperature. Emissivity is the property of the surface and

    depends upon the nature of the surface and temperature.

    Experimental set up:-The experimental set up consists of an Enclosure which houses a pair of

    metal discs which are geometrically similar made of same material. One of the discs is painted

    black (black body) whose emissivity is known and the other disc (grey body) whose emissivity

    has to be determined. The geometric and material similarity of the two discs ensures that the

    conduction and convection losses between the disc and the ambient will remain same if both the

    discs are at the same temperatures. Three thermocouples are placed on the surface of each disc.

    Apparatus: - blackbody, test body, heater, digital voltmeter Ammeter, control body.

    Experimentation:

    Aim: - To determine the emissivity of grey body at temperature.

    Procedure:

    Give necessary electrical connections and switch on the MCB and switch on the console on to activate the control panel.

    Switch On the heater of the Gray body and set the voltage using the heater regulator and digital voltmeter.

    Switch On the heater of the Black body and set the voltage or current (say higher than gray body) using the heater regulator and digital voltmeter.

    Wait to attain the steady state. Note down the temperatures at different points and also the voltmeter and ammeter

    readings.

    Tabulate the readings and calculate the surface emissivity of the non black surface.

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    Ammeter

    DimmerstatBlack Body

    Temperature Indicator Voltmeter

    DimmerstatGrey Body

    TemperatureSelector Switch

    Black Body Grey Body

    T5 T6 T7 T3 T4T2

    Figure 6.1 Line diagram of Emissivity test set up apparatus.

    Figure 6.2 Photograph of Emissivity apparatus.

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    Specifications:

    Diameter of black body = _______

    Diameter of Grey body = ________

    Tabular column:-

    Sl.

    No

    Grey body readings Black body readings Room

    Temp

    T1

    Encloure

    Temp

    T8

    Emiss

    i-

    vity

    Volts

    V2

    current

    I2

    Surface temp

    Volts

    V1

    Current

    I1

    Surface temp

    T2 T3 T4 T5 T6 T7

    Formulae & Calculations

    Heat supplied to grey body Qg = Vg Ig

    Also, Qg = gA( Tg4-T8

    4).................................... (4)

    Where, Ag = area of the grey body

    b = emissivity of grey body = Stefan boltzman constant = 5.66910-8.

    Tg = Avg. grey body temperature =

    3

    432 TTT

    T8 = Enclosure Temperature.

    Heat supplied to black body- Qb= Vb Ib

    Also, Qg = bA ( Tb4-T8

    4) .................................... (5)

    Where, Ab= area of the black body

    b = emissivity of black body = Stefan boltzman constant = 5.66910-8.

    Tb = Avg. black body temperature =

    3

    765 TTT

    T8 = Enclosure Temperature.

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    Procedure:

    Give necessary electrical connections and switch on the MCB and switch on the console on to activate the control panel.

    Switch On the heater of the Gray body and set the voltage using the heater regulator and digital voltmeter.

    Switch On the heater of the Black body and set the voltage or current (say higher than gray body) using the heater regulator and digital voltmeter.

    Wait to attain the steady state. Note down the temperatures at different points and also the voltmeter and ammeter

    readings.

    Tabulate the readings and calculate the surface emissivity of the gray body surface.

    b

    g

    Q

    Q=

    )(

    )(

    8

    8

    TTA

    TTA

    bbb

    ggg

    Result: - The experiment is successfully completed, the results tabulated in tabular column.

    The emissivity of given apparatus is

    Percussions:

    Allways keep dimmerstate at zero before starting.

    Increase power input slowly.

    Do not touch the black plate.

    Points for Discussion :

    (1) The value of emissivity obtained is total is total emissivity or monochromatic emissivity.What is the difference between the two.

    (2) How and under what conditions emissivity of a surface equals its absorptivity.

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    EXPERIMENT NO. 7

    Stefan Boltzman Apparatus Dtae:

    Introduction:

    The most commonly used relationship in radiation heat transfer is the Stefan Boltzmans law which relates the heat transfer rate to the temperatures of hat and cold surfaces.

    Q = A (Th4 Tc

    4)

    Where,

    Q= rate of heat transfer, watts

    = Stefan Boltzmans constant = 5.669 x 10-8 watts/m2 K4 A = Surface area, m

    2

    Th = Temperature of the hot body, K

    Tc = Temperature of the cold body, K

    The above equation is applicable only to black bodies (for example a piece of metal covered

    with carbon black approximates this behavior) and is valid only for thermal radiation. Other

    types of bodies (like a glossy painted surface or a polished metal plate) do not radiate as much

    energy as the black body but still the total radiation emitted generally follow temperature

    proportionality.

    Experimental setup: The experimental set up consists of a hemispherical shell which is fixed to a non-conducting

    plate. The outer surface of the hemisphere is enclosed in a metal water jacket used to heat the

    copper shell to any desired temperature. The shell shape is chosen as hemispherical to see that

    the water in the jacket is drained off easily. Thermocouples are fixed at various points on the

    surface of the shell to measure the shell surface temperature. The disc is mounted in an insulated

    bakelite sleeve fits in a hole drilled in the centre of the base plate. Thermocouple is attached to

    the disc to measure its temperature at any time.

    Apparatus: Copper hemispherical enclosure, thermocouple jacket to hold hot water.

    Experimentation:

    Aim: To determine the value of Stefan Boltzman constant.

    Procedure: Fill water slowly into the overhead water heater. Switch on the supply mains and console. Switch on the heater and regulate the power input using the heater regulator. (say 60 85

    C)

    After water attains the maximum temperature, open the valve of the heater and dump to the enclosure jacket.

    Wait for about few seconds to allow hemispherical enclosure to attain uniform

    temperature the chamber will soon reach the equilibrium. Note the enclosure temperature.

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    Insert the Test specimen with the sleeve into its position and record the temperature at different instants of time using the stop watch.

    Plot the variation of specimen temperature with time and get the slope of temperature versus time variation at the time t = 0 sec

    Calculate the Stefan Boltzmans constant using the equations provided. Repeat the experiment 3 to 4 times and calculate the average value to obtain the better

    results.

    Specifications:

    1. Mass of disc = 2. Diameter of rod = 3. Specific heat = 4. Emitter temperature Te = _______

    0C

    TemperatureIndicator

    Water Jacket

    Heater

    Water Tank

    TemperatureSelectionSwitch

    CopperHemisphere

    Disc(Copper)

    T2

    T3

    T7

    T4

    T5

    T6

    Figure 7.1 Stefan boltzman apparatus.

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    Figure 7.2 Photograph of Stefan boltzman apparatus.

    Tabular column:

    SL.NO TEMPERATURES Time in sec for which T7 is

    noted as

    in

    42 Km

    W

    T1 T2 T3 T4 T5 T6 0 30 60 90 120

    1.

    2.

    3.

    4.

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    Formulae and Calculations:-

    1) Stefan boltzman constant ():-

    = 474

    ..

    TTA

    dt

    dTCm

    Scu

    Pcucu

    Where, mcu = mass of copper. (kg)

    CPcu = Specific heat of copper. (KKg

    J

    )

    TS = 5

    65432 TTTTT

    TS = Average temperature.

    dt

    dT= slope from graph Temperature (T) Vs time (t) .

    T in deg

    time t in sec

    dT

    dt

    Figure 7.3 Graph of Temperature of disc versus time.

    Result: The experiment was conducted successfully .The Stefan boltzman constant was found to

    be ________

    Precautions:

    Check all the electrical connections.

    Do not run the equipment if the voltage is below 180V.

    Do not switch on the heater without water in the overhead tank.

    Do not turn the heater regulator to the maximum as soon as the equipment is started.

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    Do not attempt to alter the equipment as this may cause damage to the whole system. Points for Discussion:

    (1) What errors will creep in if the temperature recordings of the disc are not taken quickly.. (2) Comment why the shell is chosen as Hemisphere.

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    EXPERIMENT NO. 8

    Parallel And Counter Flow Heat Exchanger Date:

    Introduction:

    Heat exchangers are devices in which heat is transferred from one fluid to another. The fluids

    may be in direct contact with each other or separated by a solid wall. Heat Exchangers can be

    classified based on its principle of operation and the direction of flow. The temperature of the

    fluids change in the direction of flow and consequently there occurs a change in the thermal

    head causing the flow of heat. The temperatures profiles at the two fluids in parallel and counter

    flow are curved and has logarithmic variations. LMTD is less then the arithmetic mean

    temperature difference. So, it is always safer for the designer to use LMTD so as to provide

    larger heating surface for a certain amount of heat transfer.

    Experimental set-up: A typical set up of concentric tube heat exchanger is shown in figure

    below. An electric geyser is provided to supply hot water which flows through the inner tube.

    Cold water is admitted at either end enabling the same heat exchanger to run in a parallel flow or

    a counter flow mode. This is achieved by operating different valves provided in the water line.

    The outer tube is adequately insulated to minimize the heat loss to the surroundings.

    Thermocouples are used to measure the inlet and outer temperatures of the cold and hot fluids.

    The flow rates of the two fluids are measured by measuring flask.

    Apparatus: Heat exchanger hearing inner copper tube through which water flows, heaters,

    rotameter, blower, channel selector and digital temperature, display.

    Experimentation:

    Aim: To determine rate of heat transfer and overall heat transfer co-efficient in parallel and

    counter flow heat exchanger.

    Procedure:

    1) Switch ON mains and the CONSOLE. 2) Start the flow on the hot water side. 3) Start the flow through annulus also. 4) Set the exchanger for parallel or counter flow using the change over mechanism. 5) Switch ON the heater of the geyser. 6) Set the flow rate of the hot water (say 1 to 4 Lpm) using the rotameter of the hot water. 7) Set the flow rate of the cold water (say 3 to 8 Lpm) using the rotameter of the cold water. 8) Wait for sufficient time to allow temperature to reach steady values. 9) Note down the Temperatures 1 to 4 using the channel selector and digital temperature

    indicator.

    10) Note down the flow rates of the water and tabulate. 11) Now, change the direction of flow for the same flow rates and repeat the steps 9 to 11.

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    12) Repeat the experiment for different flow rates of water.

    Figure 8.1(a) Line diagram for parallel flow heater exchanger.

    Figure 8.1(b) Line diagram for counter flow heater exchanger.

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    Figure 8.2 Photograph of Heat exchanger.

    Specifications:

    a) Inner dia of Copper tube di = _____mm

    b) Outer dia of Copper tube do = _____mm

    c) Length of the tube , L = _____mm

    a) Inner dia of G.I tube Di = _____mm

    b) Outer dia of G.I. Tube Do = _____mm

    c) Length of the tube, L = _____mm

    CONSTANT VALUES AND RELATIONS

    (a) Parallel Flow

    Tabular column

    Sl.

    No

    Hot Water Side Cold Water side

    Flow rate

    (LPM)

    T2 in 0C

    inlet

    T3 in 0C

    outlet

    Flow rate

    (LPM)

    T4 in 0C

    inlet

    T5 in 0C

    outlet

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    (1) Heat transfer rate from hot water, Qh = Cp (mh) .Twh

    Where,

    Mass flow rate (mh) =

    CP = CPc = CPh = 4184 (KKg

    J

    )

    Twh =T3 T2

    (2) Heat transfer rate from hot water, Qc = Cp (mc).Twc

    Where,

    Mass flow rate (mh)

    CP = CPc = CPh = 4184 (KKg

    J

    )

    Twc = T5 T4

    (3) Q = 2

    ch QQ

    (4) Log mean temperature difference ( LMTD )

    LMTD =

    2

    1

    21

    ln

    Where,

    1 = Thi -Tci = T2 T4

    2 = Tho - Tco = T3 T5

    (5) Overall Heat Transfer co-efficient (U)

    U = LMTDA

    Q

    S , (

    Km

    W

    2)

    Where, AS = do.L

    (6) Effectiveness () = 42

    32

    TT

    TT

    (7) Theoretical effectiveness

    (8) C = Cmin / Cmax

    NTU = No. of Transfer units is given by

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    (9)

    (a) Counter Flow

    Counter flow

    Sl.

    No

    Hot Water Side Cold Water side

    Flow rate

    (LPM)

    T2 in 0C

    inlet

    T3 in 0C

    outlet

    Flow rate

    (LPM)

    T5 in 0C

    inlet

    T4 in 0C

    outlet

    (1) Heat transfer rate from hot water, Qh = Cp (mh) .Twh Where,

    Mass flow rate (mh) =

    CP = CPc = CPh = 4184 (KKg

    J

    )

    Twh =T3 T2 (2) Heat transfer rate from hot water, Qc = Cp (mc).Twc

    Where,

    Mass flow rate (mh) =

    CP = CPc = CPh = 4184 (KKg

    J

    )

    Twc = T4 T5 ,

    Q = 2

    ch QQ

    (4) Log mean temperature difference (LMTD)

    LMTD =

    2

    1

    21

    ln

    Where,

    1 = Thi -Tci = T2 T5

    2 = Tho - Tco = T3 T4

    (5) Overall Heat Transfer co-efficient (U)

    U = LMTDA

    Q

    S

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    (6) Effectiveness () = 52

    32

    TT

    TT

    (7)Theoretical effectiveness

    (8) C = Cmin / Cmax

    NTU = No. of Transfer units is given by

    (9)

    Result:

    For Parallel Flow

    i) The Heat transfer obtained is ______ watts

    ii) Overall Heat Transfer is _______

    iii) Effectiveness is ______

    iv) % Error is _______

    For Counter Flow

    i) The Heat transfer obtained is ______ watts

    ii) Overall Heat Transfer is ______

    ii) Effectiveness is ______

    iv) % Error is _______

    Points for Discussion :

    (1) Which mode of exchanger is better and why?. (2) If LMTD comes out to be zero,then what is the rule adopted to find the heat transfer

    co-efficient.

    (3) If max

    min

    C

    C= 0, What type of heat exchanger it will represent?

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    EXPERIMENT NO. 9

    Drop wise and Film wise Condensation On Vertical Tubes. Date:

    Introduction:

    Boilers and condenser which are used as heat exchanger posses unique characteristics of heat

    transfer mechanism on the condensing and boiling side.

    When a vapour strikes a surface temp below the corresponding saturation temperature the

    vapour will immediately condense into the liquid phase. The porous of condensation may take

    place into two different type namely:

    a. Film wise condensation

    b. Drop wise condensation

    When the condensate tends to wet the surface it is called film wise condensation. When

    condensate does not wet the surface and when it forms droplets on the surface, it is known as

    drop wise condensation.

    Experimental setup:- The experimental set up consists of an electric generator to generate

    steam instantaneously and the steam is made to condense on two vertical hollow copper

    cylinders with one coated with chromium(drop wise).On one cylinder the condensation will be

    film-wise while on the other which is coated, it will be drop wise. The flow of water is regulated

    by means of a pump. The schematic for the experiment is shown in the figure 9.1.Provisions are

    made to measure the cooling water flow rate, condensate flow rate, the outer surface temperature

    of the cylinder, the pressure of steam condensing and the inlet and exit temperature of the

    cooling water.

    Apparatus: Gas tube, steam generator copper coated internal tube, stop watch.

    Experimentation:

    Aim: To determine the average heat transfer co-efficient for film wise and dropwise

    condensation and comparison of both.

    Procedure:

    (1) First fill the water in stainless steel tank and then switch on the main and console.

    (2) Switch on the supply pump starter. (3) Change the ball valve position of conducting film wise condensation experiment. (4) Switch on the heater and maintain a steady water flow, say 4LPM, through the rata meter. (5) Wait for sometime till steady steam is generated. Then the stem is passed through a

    separator to supply only dry stream to the cylinder.

    (6) The stem starts condensing on outer surface of the condenser tube and gets collected as a condensate at the bottom of the cylinder.

    (7) Note down the different temperatures of inlet and outlet water supply, stem pressure, flow rate of water.

    (8) Now change the ball valve position to drop wise condensation and conduct the experiment for same flow rate.

    (9) Repeat the above procedure for different flow rates and different steam pressures.

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    Steam inlet

    Plain Condensor

    Plated Condensor

    Glass Tube

    Condensed WaterOutlet

    Water inlet Water outlet

    Water inlet Water outlet

    T

    T T

    T

    T

    6

    2 3

    4

    5T2

    Figure 9.1 Schematic of film and drop wise condensation unit.

    Figure 9.2 Photograph of test set up of stefan boltzman unit.

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    Specimen calculations for film-wise condensation:

    Outer diameter of condensing surface = d = _______,

    Length of the condensing surface = L = _______,

    Surface temperature = TS = ________

    Pressure of steam condensing = _________

    Saturation temperature at condensing pressure = Tsat = _______ (From tables)

    Inlet temperature of cooling water = Twi = ______

    Exit temperature of cooling water = Two = ______

    Volume flow rate of cooling water = Vw =______

    Volume flow rate of condensate = Vs = Volume of steam admitted per time.

    = ________

    Mass flow rate of water = mw = w Vw = ______ Specific volume of condensate = vs = vf at condensing pressure.

    Condensate flow rate = msteam = s

    s

    v

    V

    Heat carried away by cooling water = Qw = mw.Cpw[ Two- Twi]

    = __________

    Heat given out by steam due to condensation = Qsteam = msteam.hfg

    Mean film temperature = Tm = 2

    ssat TT

    Properties of condensate at Tm are: k =______ , = _______ , hfg = _____ ,

    Hence, Qsteam = _________.

    Condensation heat transfer co-efficient = hav = )( ssat

    steam

    TTdl

    Q

    = __________

    To find hav using standard correlation:

    Reynolds number for the condensate = Re = d

    msteam4 = _________

    If Re < 1800, Condensate flow is laminar.

    Hence hav =

    33.0

    33.0

    2

    23

    Re

    47.1

    gk

    = _______________ (Km

    W

    2).

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    Specimen calculations for drop-wise condensation:

    Surface temperature = TS = ________

    Pressure of steam condensing = _________

    Saturation temperature at condensing pressure = Tsat = _______ (From tables)

    Inlet temperature of cooling water = Twi = ______

    Exit temperature of cooling water = Two = ______

    Volume flow rate of cooling water = Vw =______

    Volume flow rate of condensate = Vs = Volume of steam admitted per time.

    = ________

    Mass flow rate of water = mw = w Vw = ______ Specific volume of condensate = vs = vf at condensing pressure.

    Condensate mass flow rate = msteam = s

    s

    v

    V

    Heat carried away by cooling water = Qw = mw.Cpw[ Two- Twi]

    = __________

    Heat given out by steam due to condensation = Qsteam = msteam.hfg

    Mean film temperature = Tm = 2

    ssat TT

    Properties of condensate at Tm are: k =______ , = _______ , hfg = _____ ,

    Hence, Qsteam = _________.

    Condensation heat transfer co-efficient = hav = )( ssat

    steam

    TTdl

    Q

    = __________

    To find hav using standard correlation for drop wise condensation:

    Reynolds number for the condensate = Re = d

    msteam4 = _________

    If Re < 1800, Condensate flow is laminar.

    Hence hav =

    33.0

    33.0

    2

    23

    Re

    47.1

    gk

    = _______________ (Km

    W

    2).

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    Result: Average heat transfer co-efficient for film wise condensation is _______

    Average heat transfer co-efficient for film wise condensation is _______

    Points for Discussion :

    (1) List of various precautions especially that of steam generator observed during experimentation.

    (2) Which is more effective among film wise and drop wise condensation and why.

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    EXPERIMENT NO. 10

    Vapour Compression Refrigeration Test Rig Date:

    Introduction: Refrigeration is a process by which the temperature of a given space is reduced

    below that of the atmosphere or surroundings. Refrigeration can be realized by several methods,

    for example, Ice refrigeration, Dry ice refrigeration, Evaporative refrigeration, Air refrigeration,

    Vapour compression refrigeration etc. The modem refrigeration uses the vapour compression

    method. In this method, a closed system (the refrigerant) experiences a thermodynamic cycle ;

    by virtue of doing network on the system in such a cycle, it is possible to extract heat from a low

    temperature source (the refrigerated space) and to reject heat to a higher temperature sink (the

    atmosphere or cooling water).

    The performance of refrigerators and heat pumps is expressed in terms of the coefficient of

    performance (COP), defined as

    COP = inputrequired

    outputDesired

    .

    .

    Experimental set up:

    Fig. (1) Shows the schematic of the vapour compression refrigeration set up and its (T-S)

    Diagram.The cycle consists of the following processes:

    (l-2) : Isentropic compression (in ideal cycle) of vapour refrigerant from lower pressure to higher

    pressure, temperature increases. (But in actual practice, the process is not isentropic because of

    losses and inefficiency).

    (2-3): Condensation of high pressure and temperature of saturated/super heated vapour to liquid

    at high pressure.

    Apparatus: Refrigerant, Compressor, Condenser, Cooling fan, Throttle valve, Capillary tube,

    Evaporator.

    Experimentation:

    Aim: To conduct a test on Vapour Compression Refrigerator and find its coefficient of

    performance.

    Procedure:

    (a). Switch-on the Mains and the Console.

    (b) Keep either the Throttle Valve or the capillary Tube open-when the capillary tube is open,

    the throttle valve should be closed and vice versa. Both devices have the same expansion (or

    throttling) effect.

    (c) Switch-on the motor which drives the compressor and the fan (which cools the condenser).

    (d) The refrigerant passes through the vapour compression cycle as mentioned earlier resulting

    in cooling in the evaporator chamber or freezer.

    (e) Wait for about 5 minutes and note the Temperatures T1 to T5 and Pressures P1 and P2.

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    Specifications:

    1 Energy meter Constant for compressor C = rev/ kwh 2 Refrigerant used in this test rig = _______

    Fig 10.1 (a) Fig 10.1 (b)

    Figure 10.1 (a) Schematic of vapour compression Refrigeration cycle

    (b) T-S Diagram for the cycle

    (3-4) : Constant enthalpy process in throttling valve or capillary tube-expansion of high pressure

    liquid refrigerant to lower pressure liquid vapour mixture temperature decreases.

    (4-l) : Vapourization of refrigerant in evaporator at constant lower pressure. Cooling of

    atmosphere or surroundings takes plate due to absorption of latent heat in vapourization.

    In the ideal cycle the refrigerant enters the throttling valve/capillary as a liquid at (3) and leaves

    (4) at constant enthalpy as liquid-vapour mixture. The refrigerant enters the evaporator and

    extracts heat from the refrigerated space at constant temperature (T1) and lower pressure in the

    vapourization process (4-1). The refrigerant may leave the evaporator as a two phase mixture or

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    as a saturated vapour or as a slightly superheated vapour as shown in this T-S Diagram. Ideally,

    the refrigerant is compressed to the condenser pressure in the isentropic process (1-2). Heat is

    rejected from the condenser to the atmosphere or cooling water in the process (2-3).

    Figure 10.2 Photograph of Refrigeration test rig.

    T1 = Temperature at Compressor Inlet, ( OC )

    T2 = Temperature at Compressor Outlet, ( OC )

    T3 = Temperature at Condenser Outlet, ( OC )

    T4 = Temperature at Evaporator Inlet , ( OC )

    T5 = Temperature inside Freezer, ( OC )

    P1 = Pressure Upstream of the Compressor, ( 2cm

    Kg)

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    P2 = Pressure Downstream of the Compressor, ( 2cm

    Kg)

    Using the measured temperatures, pressures and power input to the compressor, the co-efficient

    of performance and the capacity of the refrigerator can be determined using the procedure given

    below:

    Fig.10.1 (a) Shows the schematic of the heat transfer process in the vapour compression

    refrigeration cycle. In a steady state, the heat balance is given by,

    QL+ Win = QH . Eq (1)

    QL = Heat removed by the evaporator from the refrigerated system,

    = Heat gained by the refrigerant in the evaporator.

    = h1 - h4 per Kg of refrigerant.

    QH = Heat transferred from the refrigerant in the condenser.

    = h2 - h3 per Kg of refrigerant.

    Win = Work done by the compressor on the refrigerant.

    = h2 h1 per Kg of refrigerant.

    h1= Enthalpy of the refrigerant at exit of the evaporator.

    h2 = Enthalpy of the refrigerant at exit of the compressor.

    h3 = Enthalpy of the refrigerant at exit of condenser.

    h4 = Enthalpy of the refrigerant at exit of the throttle valve.

    The values of enthalpies of the refrigerant at different states can be obtained from tables/ charts

    using the measured values of pressures and temperatures. The work done in the compressor can

    be directly obtained from the energy meter in the panel. The co-efficient of performance (COP)

    of the refrigerant system is given by,

    COP = in

    H

    W

    Q=

    42

    41

    hh

    hh

    .......... Eq. (2)

    Where, QH = Amount of heat extracted in the refrigerator

    Win= Net work done.

    Result : The COP of the refrigerator came out to be _______ .

    Point for discussion

    (1) Discuss the suitability of different Compressor speeds for typical duties and others. (2) Can refrigerator equipment can be used as heater. If yes how it is done.

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    EXPERIMENT NO. 11

    Air Conditioning Test Rig Date:

    Introduction: The science of Air Conditioning deals with maintaining a desirable internal air

    conditions irrespective of external atmospheric conditions. The factors involved in any air

    conditioning installation are:

    (a) Temperature

    (b) Humidity

    (c) Air movement and circulation

    (d) Air filtering, cleaning and purification.

    The simultaneous control of these factors within the required limits is essential for

    human comfort or for any industrial application of the air conditioning system.

    In any air conditioning system, temperature and humidity are

    controlled by thermodynamic processes. Depending on the season, the air conditioning

    processes involve cooling, heating, humidification and dehumidification of air. Other aspects

    such as air movements, circulation, purification, etc. are obtained by installing suitable fans,

    blowers, ducting and filters.

    This equipment is designed to demonstrate different air conditioning processes such as

    cooling, heating, humidification, etc. required for different seasons of the year.

    Experimental set up:

    The schematic for studying and analyzing the air conditioning process is shown below

    Nomenclature for the set up:

    2. Tdb1 and Tdb2 : Dry bulb thermometers. 3. Twb1 and Twb2 : Wet bulb thermometers. 4. Steam inlet: Used to increase the humidity of air. 5. H1 : Heater 1 to increase the dry bulb temperature of air. 6. H2 : Heater 1 to increase the dry bulb temperature of air. 7. CR : Compressor of the vapor compression refrigeration plant. 8. CDR : Condenser of the vapor compression refrigeration plant. 9. CC : Evaporator of the refrigeration plant (also the cooling coil of the air

    conditioner).

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    ExpansionValve

    CDR

    CR

    AirDuct

    Air in

    Air out

    12

    3

    4

    CC

    Steam Inlet

    H 1

    H 2

    T db1

    T wb1

    T db2

    T wb2

    Figure 11.1 Shematic of Air conditioning test set up.

    Figure 11.2 Photograph of Air conditioning test set up.

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    Brief description of the set up:

    The experimental set up consists of a duct of rectangular cross section.The air is made

    to flow through this duct by means of a blower. Provisions are made in the duct

    (i) To heat the air (Heater 1) (ii) To add moisture to the air in the form of steam which is generated in a steam boiler. (iii) To cool the air to a temperature below that of surroundings by employing a vapor

    compression refrigeration plant and to dehumidify the air

    (iv) To heat the air to the desired dry bulb temperature after dehumidifying by using heater (Heater 2)

    Dry bulb and wet bulb temperatures (Tdb1, Tdb1, Twb1 and Twb2 ) are

    provided to measure dry bulb and wet bulb temperatures of air before and after the air

    conditioning process.The velocity of air at entry and exit of the duct are measured using an

    anemometer.

    Apparatus: Cooling Coil, Air Heaters-2 Sets, Steam Generator, Duct

    Experimentation:

    Aim: To study the effect of Heating and humidification of air conditioning process

    Procedure:

    The purpose of the experiment is to increase the humidity and dry bulb temperature of the

    incoming air.Hence for this experiment the refrigeration system should be switched off and the

    steam boilers and heaters H1 and H2 should be on.After steady state is reached the following

    measurements are made and noted.

    Tdb1 = _____ Twb1 = _____

    Tdb2 = _____ Twb2 = _____

    The velocity of air at the exit section of the duct = v2 =

    Cross sectional area of the duct = A2 = ____

    The inlet and exit conditions of the air are represented by the psychrometric charts as shown in

    the figure 11.1 (a)

    From Psychrometric chart, we have

    hh

    hv

    Volume flow rate of air in (s

    m3) = Vair = A2.v2

    Heater energy meter constant = ________

    Time taken for one revolution of energy meter = ______ s

    Temperature of steam supply = Tsteam = _____ 0C

    Mass flow rate of dry air in (s

    Kg )= ma =

    2v

    Vair =______

    Amount of moisture added to air = mw = = __________.

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    Heat supplied by the heating coil = ..1..tan..

    3600.....

    revtakenfortimetconsmeterEnergy

    meterenergyofsrevolutionofNumber

    Hence Qcoil =

    Energy balance equation for the process gives

    Qcoil + ma(hsteam = QAir + QLoss .(1) From steam tables hsteam = hg at Tsteam = ________

    QLoss = _________

    Sensible heat added to air = QS = ma[hA-h1]

    = ______

    Sensible heat factor = SHF = air

    S

    Q

    Q= __________

    T db1

    T wb1

    T db2

    T wb2

    T db

    1

    2

    A

    h1

    h2

    hA

    Figure 11.3 Shematic of Psychrometric chart.

    Result: Sensible heat factor for heating and humidification process is ___________ ,

    Points for Discussion :

    (1) List of various precautions observed during experimentation. (2) What is dew factor.

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    EXPERIMENT NO. 12

    Transient Heat Conduction Date:

    Introduction: A Heat transfer process which is time dependent is designated as an unsteady

    state or transient heat transfer. There are large number of situations where changes in condition

    result in transient temperature distribution.Unsteady state heat transfer generally occurs before

    steady state operating conditions.

    Transient temperature distribution results in manufacture of bricks, Cooking and freezing of

    food and in heat and cold treatment of metals.

    Experimental set-up: The experimental setup consists of a metal rod, one end of which is

    heated by an electrical heater while the other end projects inside a cooling water jacket. The

    whole rod is insulated with asbestos rope. Seven Thermocouples are placed on the rod for

    temperature measurement.

    The heater is provided with a Dimmerstat for controlling the heat input where as water under the

    constant head is circulated through the jacket and its flow rate and temperature rise are measured

    using Rotameter and thermocouples.

    Apparatus: Transient heat conduction set-up, thermocouples, stop watch/clock.

    Experimentation:

    Aim :To obtain temperature profile for conduction through a cylindrical rod heated by a constant

    source and to compare theoretically predicted temperature distribution under transient

    conditions.

    Procedure:

    (1) Heat the metal rod (Stainless steel) by electrical heating at constant rate by adjusting the current and voltage.

    (2) Adjust the flow of water to one liters/min using rotameter. (3) Note the readings of the Ammeter and the Voltmeter. (4) Note down the initial temperature at seven different positions, say at distances 65mm,

    130mm, 195mm etc. from the heat source.

    (5) Start the stopwatch and note the temperature indicated by the thermocouples at a various points recorded at 5 minutes interval.

    (6) Continue to note the temperatures till constant temperature is attained. (7) The calculations are performed to obtain temperature profile and compared with

    theoretical values obtained.

    (8) Temperature profile: Theoritical temperature and experimentally observed temmperature versus distance from the hot source is drawn on a graph sheet for 15 & 30 minutes time

    intervals.

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    T1 T2 T3 T4 T6 T7T5

    T8

    T9

    Heater

    Water in

    waterout

    0.65m 0.65m

    Figure 12.1 Transient test set up.

    Figure 12.2 Photograph of Transient conduction test set up

    Specifications:

    1 Diameter of rod d = mm 2 Distance between each thermocouple X = mm 3 Test length of the rod L = mm

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    Tabular column:

    Time

    in

    sec.

    At

    distance

    near

    Heater.

    X1=0 m

    At

    X2=0.065m

    At

    X3=0.13m

    At

    X4=0.195m

    At

    X5= 0.26m

    At

    X6=0.325m

    At

    X=0.39

    m

    Water

    out T8

    Water

    inT9

    Calculations:

    Voltmeter reading V: (volts)

    Ammeter reading I : (amps)

    Total heat supplied Q = V x I = (watts)

    Thermal diffusivity of the material is calculated by

    PC

    k

    , (

    s

    m 2)

    = Density of material (Copper) = 8954 3m

    Kg

    CP = Specific heat of material (Copper) = 381 KKg

    J

    k = Thermal conductivity (Copper = 386Km

    W

    )

    A= Area of cross section of metal rod =4

    . 2d = ________ m

    2

    Where, d = Diameter of the rod in. m.

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    Calculate the Value of Z using the formula:

    Z = t

    X

    2

    From this, Calculate the error function value of Z from the Data Hand book i.e., erf (z). Now,the

    Temperature distribution for a body subjected to constant heat flux condition is given by

    T(X) Ti = k

    t

    Xtq

    4exp2

    2

    - k

    ZerfXq )](1[ .

    taking particular time (say, t = 900 seconds) and substitute in the above Theoretical equation.

    Ti = Initial temperature before starting the experiment.

    t = At any particular times (say, t = 900 seconds)

    X = Different distances at which thermocouples are placed.

    Temperature (OC) T experimental = Values are obtained directly from the experiment at

    different times.

    Serial

    no.

    Time(t)

    seconds

    Distance X (m) Experimental

    Temperature

    Z

    Erf(Z)

    Theoretical

    Temperature

    1

    000

    X1 = 0

    X1 = 0.065

    X1 = 0.13

    X1 = 0.195

    X1 = 0.26

    X1 = 0.325

    X1 = 0.390

    2

    300

    X1 = 0

    X1 = 0.065

    X1 = 0.13

    X1 = 0.195

    X1 = 0.26

    X1 = 0.325

    X1 = 0.390

    3

    600

    X1 = 0

    X1 = 0.065

    X1 = 0.13

    X1 = 0.195

    X1 = 0.26

    X1 = 0.325

    X1 = 0.390

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    Plot a graph of temperature v/s distance at particular time.

    Tem

    p.

    Distance, X (m)

    T theoretical

    T experimental

    Figure 12.3 Graph of temperature versus length of the rod.

    Result: The heat conduction experiment is conducted under transient conditions and the

    temperature conduction through the rod heated by a constant heat flux is obtained and compared

    with theoretical values.

    Points for Discussion :

    (1) Whether the rod can modelled as a lumped system one.Comment on it.

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    Viva Questions

    1. Distinguish between steady-state and unsteady state Heat transfer.

    2. Define thermal conductivity of a material.

    3.Give examples of natural convection and forced convection.

    4.write the laplace equation and fourier equation and diffusion equation.

    5.Define Thermal diffusivity.

    6.Define Conduction shape factor.

    7.What is meant by Thermal resistance ?

    8.What is convection Heat Transfer Coefficient(h)? On what factors does it depend.

    9.What is the range of h for free and forced convections?

    10. What is meant by critical radius of insulation? 11. What is an extended surface ? 12. What is mode of heat transfer through a fin ? 13. Name few commonly used fins. 14. Define fin efficiency. 15. What is meant by Transient heat transfer? 16. What is the physical significance of the Biot modulus ? 17. What is meant by semi-infinite model? 18. What is meant by Stability criteria in heat transfer? 19. How does Thermal radiation differ from other types of Electromagnetic radiation ? 20. Define the terms - Reflectivity, Transmitivity and Absorptivity. 21. What is meant by opaque body? 22. Define emissivity of a body. 23. What is a Black body? 24. What is Stefan - Boltzmann Law? 25. What is Kirchhoff's Law? 26. What is Plank's Law? 27. What is Wiens displacement Law? 28. Define intensity of radiation. 29. What is a grey body? 30. Define the terms - Irradiation and Radiosity. 31. What is the purpose of radiation shield ? 32. Define convection heat transfer coefficient . 33. What is the physical significance of Nusselt's number?

    34. What is Buckingham - Theorem? 35. Define local friction Coefficient and average friction Coefficient. 36. Define the friction factor f. 37. Distinguish between natural convection and forced convection. 38. What are the forces responsible for fluid motion in natural convection ? 39. Define Grasshoff's number and what is its physical significance? 40. What is film temperature? 41. What is meant by filmwise and dropwise condensation ? 42. What is the Reynolds number of a condensed film? 43. What is pool boiling? 44. Distinguish between nucleate pool boiling and film boiling. 45. Discuss the various regimes of boiling. 46. Distinguish between parallel flow and counter flow heat exchanger.which is effective.

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    47. Classify heat exchangers. 48. Distinguish between shell type and cross flow heat exchangers. 49. Define LMTD.What i