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#### Concept explainers

Use Equation 4.19 and obtain the continuity equation for steady or unsteady incompressible flow through a fixed control volume.

## Answer to Problem 1P

The continuity equation for steady or unsteady incompressible flow through a fixed control volume is

### Explanation of Solution

Consider the Reynolds transport theorem.

Here, control surface is

Substitute

For incompressible flow, the volume of the system

Also for a fixed control volume,

Combine Equations (II), (III) and (IV) to get,

Hence, the continuity equation for steady or unsteady incompressible flow through a fixed control volume is

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# Chapter 5 Solutions

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version