Choked flow out of air compressor and wind tunnels

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Discussion Overview

The discussion revolves around the feasibility and design considerations of creating a supersonic wind tunnel using an air compressor. Participants explore concepts related to choked flow, pressure dynamics, and the behavior of airflow in nozzles, particularly in the context of using a specific air compressor model.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the conditions for achieving choked flow with their air compressor, noting that the calculated outlet velocity appears insufficient for Mach 1.
  • Another participant clarifies that the airflow capacity of the compressor refers to the generation rate of compressed air rather than peak output, suggesting that this aligns with how supersonic wind tunnels operate.
  • A participant expresses a shift in focus from air compressors to rocket motors but seeks clarification on how properties change in a de Laval nozzle when upstream pressure is increased while maintaining choked flow.
  • Another participant responds that the isentropic nature of the flow depends on the pressure ratio, indicating that a shock forms in the diverging section as pressure increases, affecting flow characteristics.

Areas of Agreement / Disagreement

Participants exhibit a mix of agreement and uncertainty regarding the conditions for choked flow and the behavior of airflow in nozzles. There is no consensus on the implications of increasing upstream pressure in relation to isentropic flow.

Contextual Notes

Limitations include assumptions about the compressor's performance, the specific conditions under which choked flow is achieved, and the effects of shock waves on flow characteristics in nozzles.

yangshi
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I posted this on Eng-tips and no replies yet:( I'm trying to design an as-simple-and-cheap-as-possible supersonic wind tunnel using an air compressor (this even possible? given the energy losses from shock waves...).
I have access to a Porter-Cable 150psi, .8hp air compressor. Questions:

1. Just the air compressor itself: If outlet exposed to atmospheric pressure Patm, choked flow achieved when tank pressure P0 = Patm / .528 = 28psi. BUT, the specs of my air compressor say 2.6CFM at P0=90psi. If outlet is .25" diameter, then Vout=2.6CFM / A = 38m/s, way lower than Mach 1 for choked flow. What's going on here?

2. If outlet is indeed choked, then P0=28ksi minimum. Say I increased P0 to potentially 150psi. I understand that mass flow and density increase linearly with P0 in choked flow. But, if I add a diverging duct to outlet, would the beginning portion of the duct experience choked flow? I just want to understand if "over"-choked flow (P0>28psi) gives me any leeway to increase area and still keep flow choked.

I may be thinking too hard/wrong. Any help appreciated!
 
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The airflow capacity is the generation rate of compressed air, not the peak output. I assume this compressor has a tank? Basically, you let it run for a while, then open the valve and use the compressed air much faster than you compressed it.

This is indeed exactly how supersonic wind tunnels work.
 
Was just beginning to give up on air compressors and try rocket motors, but now I know >:) Thanks for the reply.

Rewording my choked flow question: If I have a de Laval nozzle choked at the throat and continue to increase upstream pressure, how/which properties change in the diverging section of the nozzle? Is flow still ~isentropic?
 
Whether or not the flow is still isentropic depends on the pressure ratio. As you reach the ratio for choked flow and continue to increase, a shock forms in the diverging section. This shock moves progressively closer to the exit with increasing pressure ratio until it leaves the nozzle entirely. At that point the nozzle is said to be "started" and the flow is isentropic throughout again.
 

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