Torque from rotating gas

[Dsp4]

Hi,

 

The drawing show what I want to study. A gas (temperature T, pressure P when W=0 rd/s) rotating at W rd/s, the gas apply force on each surface of each green wall, this force give a torque. Sure, torque cancel itself from opposite surface. I would like to calculate this torque function of r1, r2, W, D, P, T, thickness ? How can I do ?

Edited October 30, 2012 by Dsp4

[imatfaal]

That's a tough one! As a complete amateur - I would hazard that any explanation would not be continuous - laminar flow vs turbulent etc ; I am pretty certain you will need to include the viscosity of the fluid, and fluid friction calculations also include the fluids density; and you would be better off with experimentation

 

Have a look here

http://www.jstor.org/discover/10.2307/96648?uid=3738032&uid=2129&uid=2&uid=70&uid=4&sid=21101374587927

[Enthalpy]

If you have cylindrical walls at r1 and r2 rotating at speed W it's easy.

If not, it's generally unfeasible.

[Dsp4]

If circles don't turn this give friction and it's difficult to calculate, that's it ?

 

For now, all turn at W rd/s (circles, wall, gas). It's easy but how can I do ?