Chapter 7, Problem 7.3P

Interpretation Introduction

Interpretation:

Derive expression of general result reduction for ideal gas.

Concept introduction:

For an ideal gas the composition of a molecule is fixed, so the sound speed is temperature dependent.

At a constant temperature, the pressure of gas has no effect on the sound speed, because as density increases, pressure will also increase and since density and pressure have same, but opposite effects on the sound speed, and these two cancel out each other.

For perfect gas,

  $\frac{P}{{\rho }^{\gamma }}=const$

Interpretation Introduction

Interpretation:

Derive expression of general result reduction for an incompressible liquid and The qualitative suggestion for results about the speed of sound in liquids relative to gases should be determined.

Concept introduction:

Match number M = Velocity of fluid / Velocity of sound (C)

For M < 0.3 flow will be incompressible.