Force resulting from a pressurized departing gas

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SUMMARY

The discussion focuses on calculating the force exerted by gas escaping from a cylinder with a hole. The key parameters provided are the gas density of 2.85 lb/ft³ and a mass flow rate of 69.33 lb/s. To determine the resulting force, the principle of momentum change is applied, emphasizing the need to convert to SI units for accurate calculations. The velocity of the gas, approximately 4000 ft/s, is also a critical factor in the force calculation.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of momentum and force equations
  • Familiarity with unit conversion, particularly to SI units
  • Basic grasp of gas properties, including density and flow rate
NEXT STEPS
  • Study the concept of momentum conservation in fluid dynamics
  • Learn about the application of the continuity equation in gas flow
  • Explore the relationship between mass flow rate and force in compressible fluids
  • Investigate the effects of gas velocity on force calculations
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Engineers, physicists, and students in fluid mechanics or thermodynamics who are interested in understanding the dynamics of gas flow and force calculations in pressurized systems.

tjhj
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Hello,
Thank you for your help.

So if I have a cylinder with a hole in it, and gas escaping from it. How can I find the resulting force that gas is exerting on the cylinder. So I can then find the acceleration it is imparting.

I know the density of the gas 2.85 lb/ft^3, and the mass flow rate of the escaping gas is 69.33 lb/s.

In a very small increment of time .001 milliseconds. There has been 6.933*10-5 lbs discharged.

What is the resulting force on the cylinder? Is it just the lbs of Gas discharged? I know the velocity of the gas is around 4000 ft/s, do I need this to find this out? or is the mass flow rate accounting for it?

Thank you,
 
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I would say that you need to use force = rate of change of momentum
You should really be using SI units...m, kg, s
 

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