On the Nonlinear Dynamical System of Amplitude Equations Corresponding to Intersections of Bifurcations in the Flow Between Permeable Cylinders with Radial and Axial Flows

Abstract

In the present work, we study various modes that arise after a circular Couette flow loses its stability in the presence of an axial flow due to a constant axial pressure gradient and a radial flow through the permeable walls of the cylinders. The basic object of our investigation is a nonlinear system of amplitude equations describing multiple flow bifurcations between permeable cylinders. Different bifurcations will be investigated theoretically with application of numerical methods.