Question

A flow is isentropically expanded to supersonic speeds in a convergent-divergent nozzle. The reservoir and exit pressures are 1.0 atm and 0.3143 atm, respectively. What is the value of Ae/A*?

Answer 1

Answer:

Ae/A* = 1.115

Explanation:

Let the reservoir pressure be  $p_0$

Let the exit  pressure be $p_e$

Ratio of reservoir pressure and exit pressure

$\frac{p_o}{p_e} = \frac{1}{0.3143}$

  = 3.182

For the above value of pressure ratio

Obtain the area ratio from the isentropic flow table

Ae/A* = 1.115

The value of pressure ratio is Ae/A* = 1.115