I'm building a model to study the flow of fluid through a cylinder with pores on its surface.
For flow through a cylinder, the velocity of the fluid flow is given by the Hagen-Poiseuille equation.
I would like to ask for suggestions on references from which I can look at derivations for a cylinder with porous walls. By porous, I mean openings on the surface of the cylinder. Example, the pores present in the fenestrated capillary.