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

AI Thread Summary
The discussion revolves around calculating the air velocity from a tire valve at a pressure of 200 kPa, with participants referencing the Bernoulli equation and the concept of incompressible flow. It is noted that the flow will be choked at the valve, but 200 kPa (29 psi) is not high enough to reach choked flow conditions, which typically occur around 65 psi. Participants suggest that to determine the velocity, one must analyze the flow area of the valve and the density of the air over time. Additionally, there is speculation about the tire's propulsion and how the escaping air affects its motion until the pressure decreases sufficiently. The conversation emphasizes the need for precise calculations and understanding of fluid dynamics principles.
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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