# Need help with this Gas Dynamic Project

1. Sep 6, 2014

### Maven.sharma

1. The problem statement, all variables and given/known data
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 lenght :7D
Medium :Air
Κ :1,4
R :287 J/kgK
μ0 :18,6.10-6 Pas
ρ0 :1,2 kg/m³

2. Relevant 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)

3. 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.

#### Attached Files:

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• ###### j.jpg
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2. Sep 16, 2014