How Do You Analyze a 2-D Nozzle Operating at Critical Condition?

[Maven.sharma]

Homework Statement

A 2-D nozzle shown in picture 1 is to be analyzed. The nozzle is working with critical condition at
the throat.
I haven attached a Pdf and .jpg file for the figure
ReD* :230000
D* :6mm
T0 :300 K
Diffusor half angle : 3°
Diffusor length :7D
Medium :Air
Κ :1,4
R :287 J/kgK
μ0 :18,6.10-6 Pas
ρ0 :1,2 kg/m³

Homework Equations

By using the following equations
m/A=P0√κ/√RT0(1+κ−1/2M2)κ+12(κ−1) (1)
ReDx= 4m/∏Dx ν (2)

The Attempt at a Solution

I have no idea how to solve analytically please guide me

1) Solve analyticaly the 1st, 2nd and 3rd critical poit. Choose a pressure ratio for a
shock in the diffusor part. Solve all the values (p, T) for the exit. Put the values in to
starCCM+ and compare your analytical results with the results from starCCM+.
2) Solve the location of the shock and compare the position from your result with
starCCM+.
3) Plot all the pressure distributions from starCCM+ along the axis in one graph. (p/p0
vs position).
4) Compare the time averaged massflowrate with the theoretical massflow. Do you
have some differences.

 

[Greg Bernhardt]

I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?

 

[Maven.sharma]

I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?

well i have uploaded the complete question detail more i could say is it is a convergent divergent nozzle this question is basically from gas dynamics convergent divergent nozzle topic