The Steady Slow Motion through the Space between Two Rotating Coaxial Cones with Porous Walls

Abstract

The problem considered is the steady flow of an incompressible viscous fluid through the space between two rotating coaxial cones with porous walls. In the case where the boundaries of the conical channel are α=20° and β=70°, the effect of the injection at the inner and suction at the outer porous walls on the radial flow is calculated. When this effect increases, the back-flow is set up in the region nearer to the inner cone: whereas the flow velocity in the region nearer to the outer cone is increased. Furthermore, it is found that the flow velocity depends linearly on the effect of the injection and suction.