Contemporary Mathematics and Its Applications, 2015 Volume 97,Pages 124–132(Mi cma430)
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.