ON FLOW THROUGH A POROUS ANNULAR PIPE

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, delta, based on the radii of the walls of the pipe is defined and the equations and boundary conditions are written so that at delta = 0 they coincide with the analogous two-dimensional problem. By numerical integration, the significant properties found previously for delta = 0 are continued into the region 0 < delta < 1 corresponding to flow in an annular pipe. Of the steady, unsteady, periodic, quasiperiodic, and chaotic solutions found when delta = 0, only steady, unsteady, and periodic solutions have been found when delta not-equal 0.