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Length of sonic nozzle

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Old   September 15, 2008, 13:55
Default Length of sonic nozzle
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oe
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Hi I need to calculate the length of a sonic nozzle, with exit radius = 12.7 mm(0.5 inch). This is the only information given. assuming gamma=1.4 There are relations for the contraction ratio Ax/At in terms of Mx anf gammma. Here Ax= area at any location before the throat At= area at throat Mx= Mach number at location x. I picked an arbitrary value for Mx = 0.2 and got a value for Ax, but how do I get the length of the converging section. Any help is appreciated Thank you.
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Old   September 16, 2008, 08:49
Default Re: Length of sonic nozzle
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ag
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Length is arbitrary - it doesn't affect the flow behavior. That's why only the area ratio is expressed in terms of Mach number. If you consider viscous flow there will be a small effect due to boundary layer growth, but I am assuming that you are looking only at inviscid flow.
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Old   September 16, 2008, 19:28
Default Re: Length of sonic nozzle
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shuo
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If it is a sonic nozzle then the one dimensional isentropic analysis should suffice - ignoring viscous effect such as the boundary layer. If it is a de-Laval type nozzle then as along as the divergence angle of the nozzle isn't so great as to induce flow separation the 1D analysis should still hold.

Shuo

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