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

AI Thread Summary
The discussion focuses on analyzing a 2-D convergent-divergent nozzle operating at critical conditions at the throat, with specific parameters provided, including Reynolds number, diameter, temperature, and medium properties. The user seeks guidance on solving the problem analytically, specifically regarding critical points, shock location, and comparing results with simulations from starCCM+. Key equations for mass flow and Reynolds number are mentioned, but the user expresses uncertainty about the analytical approach. The conversation highlights the need for additional information and assistance in completing the analysis. The topic is rooted in gas dynamics principles relevant to nozzle design and performance evaluation.
Maven.sharma
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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.
 

Attachments

  • gd_project1.pdf
    gd_project1.pdf
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  • j.jpg
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I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?
 
Greg Bernhardt said:
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
 

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