Stability of a Stokesian Fluid in Couette Flow

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Abstract
The stability of a Stokesian fluid (Reiner‐Rivlin fluid) in Couette motion is examined and shown to depend on the Taylor number as well as a further dimensionless parameter which is proportional to the coefficient of cross viscosity. The method of Chandrasekhar is used for small values of this parameter. It is found that for fluids with a positive coefficient of cross viscosity, the critical Taylor number can be appreciably smaller than for the corresponding flow of a Newtonian fluid.