# Solved problems 1(control volume)

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• 08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 11

SOLVED PROBLEMS

CONTROL VOLUME APPROACH

CHAPTER (5)

• 08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 22

CONTROL VOLUME APPROACH

3. Continuity equation outincv mmdtdM

&& =

Volume Flow Rate Mass Flow Rate

1. Velocity is constant:

2. Velocity is variable:

AVQ =& AVQm == &&

=A

VdAQ& QVdAVdAmAA

&& ===

5. The extensive property is defined as )(B

6. The intensive property

=

massBb

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

• 08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 33

CONTROL VOLUME APPROACH

0=

+

+

zw

yv

xu10. Differential form of continuity equation

21

0

21 V

pp V

=9. Cavitation index

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

sys dAVbdQbdtd

dtdB

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

sys dAVdVdtd

dtdM

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CONTROL VOLUME APPROACH

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CONTROL VOLUME APPROACH

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Problem 5.55(p. 176)

Mixture

• 08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 1010

Problem 5.75(p. 181)

Table (5)Throat

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CONTROL VOLUME APPROACH

THE END