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How to determine Re of a pipe flow (Poiseuille) when pressure inlet and outlet is set |
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#1 |
New Member
Js
Join Date: Dec 2012
Posts: 6
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In a 2D pipe flow (Poiseuille flow) Re = U*2R/nu, where R is the radius of the pipe. If I set inlet as U, then I can control the Re by varying viscosity nu.
However, if in the simulation, the pressure inlet and outlet is prescribed, how do I control Re? For example, if I set Re = 100, how should I set nu? nu is supposed to nu = U*2R/Re, however, U is not known a prior as pressure is given in the inlet and outlet. Thanks |
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#2 | |
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Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,965
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Quote:
This is a homework you can find in any textbook. Just as hint, write the momentum along the streamwise direction. You will see a relation between the pressure gradient and diffusive term along r. |
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Tags |
poiseuille flow, pressure boundary, reynolds number |
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