Euler’s Work Equation

Torque exerted by flow on blade row = shaft output torque

= Rate of change of Angular momentum of fluid =

kVjViVV rx ˆ

ˆˆ

Euler Theory:

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dt

dL

Define, L as Angular momentum

Angular momentum is moment of linear momentum of

angular velocity, V

rmVL

For a steady flow through a turbomachine:

Inlet rate of angular momentum : 11rVm

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Exit rate of angular momentum at exit: 22rVm

Change in Rate of angular momentum: 1122 rVmrVm

1122 rVrVm

Power :

1122 rVrVmP

A change Whirl Velocity of fluid is only responsible for Power

Exchange between fluid and rotor in a turbo-machine !

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This is known as Euler Turbo-machinery Equation.

1201021122 zzghhmrVrVmP

CV

CV Pgz

V

hmgz

V

hmQ

2

2

1

2

22

First Law for Steady Flow Steady State Turbo Machine:

Avoid heat transfer across surface of a turbo-machine.

CV

Pgz

V

hmgz

V

hm

2

2

1

2

22

Conservation of Energy

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##### Document information

Uploaded by:
shashi_16star

Views: 1748

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University:
B R Ambedkar National Institute of Technology

Subject:
Turbomecines

Upload date:
12/08/2012