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How to get the velocity field from the pressure field

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Old   November 28, 2011, 06:25
Default How to get the velocity field from the pressure field
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I calculated the pressure field (in 2D) of air flowing through a graphite (porous material) using the finite difference method. Because I want to visualise the streamlines of the flow in the graphite I need to calculate first the velocity field.

My question is: How can I calculate the velocity field (in 2D) if the pressure field is known ?
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Old   November 28, 2011, 13:18
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For quasistationary flows in porous medium one uses Darcy law, where velocity is proportional to the pressure gradient. If it is your case, just take gradient of the pressure.
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Old   November 29, 2011, 09:32
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you should get plugged flow..

you should use Brinkman-Forchheimer-extended Darcy equation to get the flow field. A lot of research has been done on this, and you can find numerous journal papers written about it..

good luck
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