Flow Processes - Introduction

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Introduction of Flow Processes - Thermodynamics Lecture Note

Transcript of Flow Processes - Introduction

FLOW PROCESSES

Total energy of a flowing fluid Total energy of a compressible system

consists of three parts Internal energy Kinetic energy Potential energy

For unit mass

gzv

upekeue 2

2

But, the fluid entering or leaving a control volume possesses an additional form of energy, called “flow energy”

Flow work or (energy)

Consider a fluid element of volume V from a flowing fluid

pAF

Force acting on the imaginary piston

pVpALFLW flow

pvw flow

Control volume

Total energy of a control volume

pvgzv

ue 2

2

gzv

he 2

2

gzv

pvue 2

)(2

Steady flow processes

A large number of engineering devices such as nozzles, compressors and turbines operate for long periods of time under same conditions, and are classified as steady flow devices.

Processes in these devices can be approximated to a process called steady flow process.

Steady flow process is defined as a process during which a fluid flows through a control volume steadily. This means the fluid properties can change from point to point within the control volume, but at any fixed location the properties remain the same.

Principles governing steady flow

Conservation of mass

Total mass entering the

control volume per unit time

Total mass entering the

control volume per unit time

Total mass leaving the

control volume per unit time

Total mass leaving the

control volume per unit time

oi

mm..

oooiii VAVA

A = cross e sectional area (m2)V = Velocity (m/s)= density (kg/m3) = 1/vv = specific volume (m3/kg)

Principles governing steady flow

Conservation of energyTotal energy crossing the boundary as

heat and work per unit time

Total energy crossing the boundary as

heat and work per unit time

Total energy transported out of the

control volume per unit time

Total energy transported out of the

control volume per unit time

Total energy transported

into the control

volume per unit time

Total energy transported

into the control

volume per unit time

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)2

()2

(22

ii

iioo

oo gzV

hmgzV

hmWQ

Principles governing steady flow

)2

()2

(22

ii

ioo

o gzV

hgzV

hwq

For a single stream of flow, mass flow rates are equal

)2

()2

(22

ii

ioo

o gzV

hmgzV

hmWQ

q and w are the heat and mass transfer to the control volume per unit mass of the

Principles governing steady flow

If the fluid experiences negligible change in kinetic and potential energy as it flows through the control volume, then the energy equation for single stream steady flow system is give by:

hhhwq io