Minor Project12
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Transcript of Minor Project12
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A STUDY OF THE EXPERIMENTALDETERMINATION OF LIFT AND DRAG
FORCES FOR DIFFERENT ANGLES OF
ATTACK ON AN AEROPLANE MODEL
UNDER THE GUIDANCE OF
PROF. RAJESH GUPTA
PERFORMED BYP.T.PRASANNA (081116076)
GAUTHAM C (081116065)
K.T.RAO (081116026)
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ACKNOWLEDGEMENT
We are immensely thankful to Prof.
Rajesh Gupta for guiding us in this
project. We also thank the Director, all
Deans and the HOD, mechanical
department, for providing us with a
good and healthy environment for performing this project.
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OBJECTIVE
To study the measurement of the
different forces i.e. lift and drag for
different angles of attack on an aero-
plane model.
This experiment is done in an open
cycle wind tunnel. The plot of the various coefficients of
lift and drag versus angle of attack is
to be studied.
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INTRODUCTION
Airplanes are one of the most amazing things that
we see on a daily basis.
An airplane rolls down the runway ,lifts itself into theair and can fly up to 7,000 nautical miles without
stopping.
Bernoulli's principle states that for an in viscid
flow, an increase in the speed of the fluid occurs
simultaneously with a decrease in pressure.
Hence, due to the pressure difference at a high
speed, the airplane is lifted from the ground.
The basic aerodynamic forces: lift, weight, thrust
and drag.
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Drag is an aerodynamic force that resists the motion of an objectmoving through a fluid (air and water are both fluids).
Lift is the aerodynamic force that holds an airplane in the air.
Weight is the force of attraction between the plane and earth.
Thrust is an aerodynamic force that must be created by an airplane in
order to overcome the drag.
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APPARATUS USED
An open-cycle type wind tunnel
Aero plane model with a wingspan of 45cm
A calibrated sting-balance
Angle of attack indicator with LSR of 0.1
degrees
Data Precision Multimeter 3600 with LSR ofone microvolt
Common Mercury Thermometer/ Barometer
A 40HE35 model slant manometer
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ANAERO PLANE MODEL
The above model is then assembled by mounting the
wings and the tail on the fuselage using dowels and
adhesive. It then becomes ready for testing.
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STING BALANCE
An internal balance is a carefully designed and
precisely machined cantilever beam of complicated
cross-section equipped with electrical-resistancestrain-gage sensors.
This type of internal balance is most commonly
known in the aerodynamic field as a sting balance.
Wind tunnel testing requires a balance system
capable of accurately measuring the forces on the
model.
Some important factors that must be taken into
consideration during this selection process are the
number and arrangement of the strain gages on the
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STING BALANCE
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Airplane mounted on a sting balance
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WORKING OF A STING
BALANCE The electrical resistance strain gage is a strain-sensitive
component bonded to the surface of a balance to
measure strain.
When the strain gage is stretched (or strained), itsresistance changes in direct proportion to the strain.
The gage factor, K, of a strain gage, relates the change
in resistance (DR) to the change in length (DL). The
gage factor is constant for a given strain gage, and R is
the non deformed resistance of the strain gage, so the
equation is
K = (DR/R)/ (DL/L)= (DR/R)/e
where e is the strain.
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ANGLE OF ATTACK INDICATOR
Angle of attack is defined as the angle between the chord line of
the wing and the direction of the relative wind. The angle of
indicator is used to measure the angle of attack.
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DATA PRECISION MULTIMETER
Data precision multimeter displays the
output voltages from the sting balance.
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SLANT MANOMETER
Dynamic pressure is the component of fluid pressure
that represents fluid kinetic energy.
It can be measured using a slant manometer.
The slant tube manometer contains some type of liquidthat is contained in a reservoir.
The liquid is displaced up a slanted tube, which is
calibrated using a ruler.
The ruler reads the liquid displacement in inches ofwhatever fluid that is inside the tube.
where P= density , u = flow speed.
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SLANT MANOMETER
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A MERCURY THERMOMETER
A thermometer is a device that
measures temperature or temperature
gradient using a variety of different
principles
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MERCURYBAROMETER
A barometeris a scientific instrument used in
meteorology to measure atmospheric
pressure. It can measure the pressure exerted
by the atmosphere by using water, air, or
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INITIAL SETUP
The sting balance is calibrated.
The test-model is mounted on the sting balance and
is taken to the wind tunnel. The sting balance is connected to the angle of
attack indicator and the data precision multimeter.
The atmospheric temperature and pressure is
measured by the thermometer and barometer.
The slant manometer is used to measure the flow
speed.
The wind tunnel is made clear of any obstructions
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THE PROCESS
1. Known weights are added to the calibrated sting balance and their
corresponding voltages are recorded in the data precision
multimeter.
2. Next, the calibration is removed from the sting balance and the
strut attaching the aircraft is now attached to the sting balancewithout the air-craft.
3. The normal and axial forces for various angles of attack ranging
from -8 degrees to 18 degrees, in increments of 2 degrees up to
10 degrees and one degree from 10 to 18 degrees is measured.
4. The wind tunnel is turned on with the wind speed at 30mps, which
is verified by the slant manometer with a dynamic pressure of
2.77 inches of water and step 3 is repeated.
5. Now the aircraft is attached to the sting balance and the step 3
and step 4 are repeated.
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WIND TUNNEL ANALYSIS
The data is collected and transferred into an excel
spread sheet.
A calibration curve between the forces added on the
sting balance and the voltages is plotted.
The following equation converts voltages into directforces.
Similarly,axial forces are also found.
The drag and lift are calculated by the followingequations.
where
ais the angle of attack, N is normal force, A is
axial force D is dra and L is lift.
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COEFFICIENTS OF LIFT AND
DRAG
Using the measured temperature and pressure,
density of air is calculated.
The dynamic pressure is calculated by the equationgiven below using the flow speed.
The coefficients of lift and drag are then found using
the equations:
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RESULTS The sting balance was calibrated to find a conversion
factor between volts and pounds for normal and axial
forces. The conversion factor is based on the slope of the
resulting curve of the voltage plotted against calibration
load.
The resulting lift and drag coefficients versus angle of
attack found from the wind tunnel experiment is shown in
the graph.
As lift increases with angle of attack, the induced drag ofthe aircraft also increases.
A comparison of CFD and wind tunnel yields that error in
case of wind tunnel analysis has more errors.
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Sting balance calibration plot
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Lift Coefficient versus Angle of
Attack
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Wind Tunnel andCFDLift CurveComparison for lift coefficient
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Wind Tunnel andCFDDrag CurveComparison fordrag coefficient
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CONCLUSION The work presented in this project
provides a method for using industry
practices to populate a flight simulatordatabase with accurate lift, drag, and
moment coefficients.
Future studies could utilize the programs
used in this study and develop many new
methods for updating flight simulator data
bases.
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REFERENCES
1. Introduction to fluid mechanics by Fox and
McDonald.
2. A thesis on Flight Simulator Database Populationfrom Wind Tunnel and CFD Analysis of a
Homebuilt Aircraft by Robert P. Little.
3. Comparison of Strain Gage and Fibre Optic
Sensors On A Sting Balance In A Supersonic Wind
Tunnel by Alex T.Edwards.
4. A video on Alpha systems AOA indicator,
Youtube.com.
5. Wikipedia and Howstuffworks.com.
6. Mechanical engineering labs, MANIT.
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THANK
YOU