Stability analysis of vertical curved channel flow with radial Temperature Gradient

Abstract

Abstract:

The linear stability analysis of a Newtonian incompressible fluid in a vertical curved channel formed by two coaxial cylindrical surfaces with a radial temperature gradient and an azimuthal pressure gradient shows that critical modes are oscillatory and non-axisymmetric. We have derived a generalized Ray Leigh discriminate which includes both the curvature and buoyancy effects. Centrifugal buoyancy induces weak asymmetry of the dependence of the control parameter critical value on the sign of the temperature gradient. The critical parameters depend on the temperature gradient the radius ratio and the nature of the fluid for a wide curvature channel flow. There are two critical modes. Oscillatory Dean Modes for small temperature gradient and oscillatory centrifugal. Thermal modes for relatively large temperature gradients.