What is the air velocity from a tyre pumped to 200 kPa?

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SUMMARY

The air velocity from a tyre valve pumped to 200 kPa (29 psi) can be calculated using the Bernoulli equation under the assumption of incompressible flow. While the flow may not reach choked conditions, which occur around 65 psi, the mass flow can be determined by plotting the density as a function of time and calculating the flow area of the valve. The discussion also explores the dynamics of the tyre's propulsion as air escapes, noting that the tyre will eventually stop when the mass flow out equals the decreasing pressure.

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  • Understanding of the Bernoulli equation and its applications
  • Knowledge of fluid dynamics, specifically incompressible flow
  • Familiarity with concepts of mass flow and pressure dynamics
  • Basic mathematical skills for plotting and calculating flow parameters
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  • Study the Bernoulli equation in detail, focusing on its general application
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Engineers, physicists, and students in fluid dynamics or mechanical engineering who are interested in the principles of air flow and pressure dynamics in tyres and similar systems.

Paul245
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Can anyone tell me what the velocity of air coming out a valve of a tyre pumped to 200 kPa would be?

What equations to you use?
 
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Bernoulli equation...
 
incompressable flow
 
What do you mean? The bernoulli equation can always be applied.. (i'm not talking about the "original" bernoulli equation proposed by bernoulli but the general one where we don't integrate the pressure function at once..)
 
I think that was Bernoulli with the incompressible flow assumption...
 
The flow will certainly be choked at the valve. All you need to do is plot the density as a function of time and find the flow area of the valve and you can calculate the mass flow.
 
200 kpa is 29 psi, isn't it? So it isn't anywhere near choked flow, which, iirc, is somwhere around 65 psi.
 
Can i twist this a bit and ask this question

At what velocity what the tyre be propelled forward, what would be the limiting conditions

Till what time would this actually keep moving.

My guess: (i am still working on the math)

At some bore radius where the force is large enough to push the tyre along.

So as the tyre keeps moving its mass decreases(air is escaping) and at some point the mass going out(change in mass) would equal the pressure(now decreasing)

At that point the tyre would stop, am i right here
 
russ_watters said:
200 kpa is 29 psi, isn't it? So it isn't anywhere near choked flow, which, iirc, is somwhere around 65 psi.
I suppose I should have paid attention to the pressures. Whoops.
 

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