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SOLVED PROBLEMS

CONTROL VOLUME APPROACH

CHAPTER (5)

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CONTROL VOLUME APPROACH

3. Continuity equation outincv mm

dtdM

&& −=

Volume Flow Rate Mass Flow Rate

1. Velocity is constant:

2. Velocity is variable:

AVQ =& AVQm ρρ == &&

∫=A

VdAQ& QVdAVdAmAA

&& ρρρ === ∫∫

5. The extensive property is defined as )(B

6. The intensive property ⎟⎠⎞

⎜⎝⎛ =

massBb

21 )()( AVAV ρρ =21 mm && =4. Continuity equation in a pipe

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CONTROL VOLUME APPROACH

0=∂∂

+∂∂

+∂∂

zw

yv

xu10. Differential form of continuity equation

21

0

21 V

pp V

ρσ

−=9. Cavitation index

7. Reynolds transport theorem( in general) ∫∫ •+=cscv

sys dAVbdQbdtd

dtdB

ρρ

8. Reynolds transport theorem( for mass) ∫∫ •+=CSCV

sys dAVdVdtd

dtdM

ρρ

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CONTROL VOLUME APPROACH

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CONTROL VOLUME APPROACH

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Problem 5.55(p. 176)

Mixture

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Problem 5.75(p. 181)

Table (5)Throat

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CONTROL VOLUME APPROACH

THE END