Channel Used:

Aspect Ratio = 20

Notice that the variation in height is almost a half of the total height

Flow Solution:

This plot shows how shock moves toward the exit as the back pressure is lowered down to the point at which normal shock is formed at the exit, according to the quasi-1 D analytic solution. Pressure profile at different Y values(height) are overlapped on top of each other. Numerical solution shows very little variation at different Y value, which is expected from a large aspect ratio (= 20).

X - channel

P - Pressure, with total pressure = 1

Circle represents analytic solution

Solid line represents numerical solution