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Answer: Consider the general form of the Reynolds

Chapter 4, Problem 92P

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QUESTION:

Problem 92P

Consider the general form of the Reynolds transport theorem (RTT) given in Prob. 11–45. Let Bsys be the angular momentum  of a system of fluid particles, where  is the moment arm. We know that for a system, conservation of angular momentum can be expressed as

where  is the net moment applied to the system. Use the equation given in Prob. 11—45 and this equation to derive the equation of conservation of angular momentum for a control volume.

Questions & Answers

QUESTION:

Problem 92P

Consider the general form of the Reynolds transport theorem (RTT) given in Prob. 11–45. Let Bsys be the angular momentum  of a system of fluid particles, where  is the moment arm. We know that for a system, conservation of angular momentum can be expressed as

where  is the net moment applied to the system. Use the equation given in Prob. 11—45 and this equation to derive the equation of conservation of angular momentum for a control volume.

ANSWER:

Solution

Step 1

        Conservation of angular momentum for a system is given by

        ∑ =

        ∑ is the net moment applied to the system

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