How to Calculate the Force of Flowing Gaseous Oxygen?

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To calculate the force exerted by flowing gaseous oxygen through a tube with a restriction, one can use Poiseuille's law, which relates flow to pressure, tube radius, length, and viscosity. The formula for flow is given as Flow = (delta pressure * pi * r^4) / (8 * l * n). From the flow, the force can be determined using the equation Force = density * flow volume * delta velocity. There is uncertainty regarding the appropriate units for pressure, viscosity, and the resulting flow units. Clarification on unit usage is sought to ensure accurate calculations.
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Hi guys, I am trying to calculate the force that gaseous oxygen would exert if it were to flow from a tube and come to a restriction in that tube.

I'm not sure if I am correct in my thinking, but so far, I think that the flow can be calculated by the size and length of the restriction, and then the pressure based on that flow

Pousielle's-->
Flow= (delta pressure * pi * r^4) / 8 * l * n

And from that flow you should be able to calculate the force

Force= density * flow volume * delta velocityNow, I'm thinking that this would work, but I'm not certain.
Any help would be appreciated!
 
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I'm also just confused as to which units I should be using for pressure, n, and what units flow will end up as?
Thanks
 
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