Question

a one dimensional steady flow is given by the following velocity;

$u=\frac{2}{\gamma+1}(\frac xt-a_0)$

And density field;

$\frac{\rho}{\rho_0}=(\frac{\gamma -1}{\gamma+1}\frac xt\frac{1}{a_0}+\frac{2}{\gamma+1})^{\frac{2}{\gamma-1}}$

a)Calculate the substantial change of density.

b) check the validity of the continuity equation

$\frac{D\rho}{Dt}+\rho\frac{\partial u}{\partial x}=0$

for this flow field.

Answer 1

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