Need Help With Pressure Downstream of Solenoid.

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Discussion Overview

The discussion revolves around calculating the downstream pressure in an air cannon setup that includes a solenoid, focusing on how to determine the pressure acting on a ping pong ball after it is launched. Participants explore the relationship between mass flow rate, gauge pressure, and the resulting force on the projectile.

Discussion Character

  • Technical explanation, Experimental/applied, Debate/contested

Main Points Raised

  • One participant seeks to calculate the downstream pressure using the mass flow rate and gauge pressure from the reservoir.
  • Another participant suggests focusing on the force imparted by the mass flow on the ball rather than directly calculating the pressure, proposing a method to estimate the maximum propulsive force based on mass flow impacting a flat surface.
  • A participant confirms the use of the equation F = mass_flowrate * gas_velocity to estimate the force on the ball, indicating that this approach yields reasonable results.
  • Concerns are raised about potential leakage past the ball and the possibility of choked flow if there is a significant pressure differential across the valve.

Areas of Agreement / Disagreement

Participants express differing approaches to the problem, with no consensus on the best method for calculating downstream pressure or force. The discussion remains unresolved regarding the most accurate way to account for various factors affecting the launch.

Contextual Notes

Participants note limitations such as the need for a fudge factor to account for leakage and the implications of choked flow, which may affect calculations but are not fully explored.

Staffy
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I have an air cannon, which launches a ping pong ball. The setup for this includes the reservoir, solenoid and barrel. I have to find a function for the range of the launcher. I am currently stuck at working out the downstream pressure for the solenoid. At the moment I have the mass flow rate through the solenoid and the gauge pressure for the reservoir. I was wondering if there was a way of using these values to calculate the downstream pressure acting on the ball?

Any help would be greatly appreciated.
 
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I would look at it more from the standpoint of what force does the mass flow impart on the ball, not what the pressure is. To start with a very rough calculation, calculate the force produced by your mass flow if it were to impinge on a flat plate. That will be your maximum possible propulsive force. You know that you'll never get better than that.
 
Thanks for your help Fred. I used the equation: F = mass_flowrate * gas_velocity to work out the force on the ball. This seems to give reasonable answers.
Nathan
 
Don't forget to add a small fudge factor in there as well because there will be some leakage past the ball.

Also, don't forget that if you have an appreciable delta P across the valve, chances are the flow will be choked.
 

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