On flow through a porous annular pipe

Abstract

In this paper the axisymmetric flow of a viscous fluid through a porous annular pipe with constant and equal fluxes through each pipe wall is studied theoretically. A nondimensional parameter, δ, based on the radii of the walls of the pipe is defined and the equations and boundary conditions are written so that at δ=0 they coincide with the analogous two‐dimensional problem. By numerical integration, the significant properties found previously for δ=0 are continued into the region 0<δ<1 corresponding to flow in an annular pipe. Of the steady, unsteady, periodic, quasiperiodic, and chaotic solutions found when δ=0, only steady, unsteady, and periodic solutions have been found when δ≠0.