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Engineering and Tech / Fluid Mechanics 2 / Chapter 4 / Problem 90P

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

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Consider the general form of the Reynolds transport

Chapter 4, Problem 90P

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QUESTION:

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.

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QUESTION:

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.

ANSWER:

ANSWER:

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.

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