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# Consider the general form of the Reynolds transport

ISBN: 9780071284219 39

## Solution for problem 90P Chapter 4

Fluid Mechanics | 2nd Edition

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Problem 90P

Consider the general form of the Reynolds transport theorem (RTT) given by

where  is the velocity of the fluid relative to the control surface. Let Bsys be the mass m of a system of fluid particles. We know that for a system, dmldt =0 since no mass can enter or leave the system by definition. Use the given equation to derive the equation of conservation of mass for a control volume.

Step-by-Step Solution:

Step 1:-

The continuity equation is,

From here we can deduce the mass flow rate from a section of area A of control volume system is,

Where  is the mass flow rate.

Step 2:-

This implies,

Now,

Step 3 of 3

##### ISBN: 9780071284219

The full step-by-step solution to problem: 90P from chapter: 4 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. Since the solution to 90P from 4 chapter was answered, more than 502 students have viewed the full step-by-step answer. This full solution covers the following key subjects: mass, system, given, control, fluid. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2. The answer to “Consider the general form of the Reynolds transport theorem (RTT) given by where is the velocity of the fluid relative to the control surface. Let Bsys be the mass m of a system of fluid particles. We know that for a system, dmldt =0 since no mass can enter or leave the system by definition. Use the given equation to derive the equation of conservation of mass for a control volume.” is broken down into a number of easy to follow steps, and 71 words. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219.

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