The connection between velocity and pressure drop.
 

Hello everyone,

I have a scenario where I have a velocity field within a domain divided into polyhedral meshes. My objective is to compute the pressure drop within each polyhedron based on the existing velocity profile. Are there any established relationships or formulas for this? I would greatly appreciate your input.

Thanks!

Drumroll please! I present to you, the second? (third?) oldest physical PDE known to humankind... the Navier-Stokes equations. You have an equation with pressure drop being the only unknown, exactly as you have asked for. Surely, being one of the oldest equations ever, it should be well established.