Chapter 9, Problem 109CP

To determine

(a)

The official name for the differential equation which is given below.

  $\frac{\partial \rho }{\partial t}+\overrightarrow{\nabla }\cdot \left(\rho \overrightarrow{V}\right)=0$

The restrictions of the equation.

The physical representation of the equation.

To determine

(b)

The official name for the differential equation which is given below.

  $\frac{\partial \left(\rho \overrightarrow{V}\right)}{\partial t}+\overrightarrow{\nabla }\cdot \left(\rho \overrightarrow{V}\overrightarrow{V}\right)=\rho \overrightarrow{g}+\overrightarrow{\nabla }\cdot {\sigma }_{ij}$

The restrictions of the equation.

The physical representation of the equation.

To determine

(c)

The official name for the differential equation which is given below.

  $\rho \frac{D\overrightarrow{V}}{Dt}=-\overrightarrow{\nabla }P+\rho \overrightarrow{g}+\mu {\nabla }^2\overrightarrow{V}$

The restrictions of the equation.

The physical representation of the equation.