Instability of Taylor Vortex Flow between Rotating Porous Cylinders

Abstract A munerical solution of linear differential equations governing the instability of the Taylor vortex and nonaxisymmetric modes in flow between rotating porous cylinders is present. Solutions take into account the presence of a radial flow between two rotating cylinders. critical Reynolds number and corresponding critical axial and azimuthal wavenumber are shown for different values of radius ratio ratio of angular velocities of the inner and outer cylinders. The results show that not only the critical Reynolds number but the oscillatory onset mode of nonaxisymmetric disturbances can be altered when a radial flow is superimposed on the circular Couette flow. The weak inward flow has a destablizing effect for wide-gap co-rotating system of positive and large μ(ratio of angular velocities .0. and I