That's the standard solution for steady-state, pressure driven flow in a stationary pipe. In this case we have two boundary layers. In the attached image, I'm trying to solve for the velocity profile between the two boundary layers, where the outer (brown) layer is stationary, and the inner...
I've been considering different ways to find a numerical solution, but for the sake of repeatability I'd like to find a solution with a couple of neat equations that I can just plug and chug down the road.
Most of the numerical modeling methods involve several different steps, including...
I have a pressure flow problem where I'm trying to understand the velocity profile of a fluid in an annular space between a stationary exterior cylinder and a rotating, longitudinally advancing cylinder at its center.
So the boundary conditions a zero velocity at the exterior surface and a...