The Stability of a Second Order Fluid between Two Concentric Rotating Cylinders with a Pressure Gradient Acting round the Cylinders

抄録

The stability of a second order fluid confined between two concentric rotating cylinders, in the presence of a transverse pressure gradient, is analysed for the case when the gap between the cylinders is small. The resulting eigen value problem is solved by using a ‘modified Galerkin technique’. The critical Taylor number is computed for a wide range of values of the nondimensional parameter S(visco-elastic and cross-viscous parameter) and Q, the ratio of average velocity of pumping to the average velocity of rotation. It is found that the flow is stabilized for negative values of S and is destabilized for positive values of S, except for a particular range of values of Q.