Abstract
The stability of Couette flow of a viscous, imcompressible fluid between two concentric rotating cylinders in the presence of a radial temperature gradient due to constant heat flux at the inner cylinder is studied. Assuming the flow that takes place in a narrow gap, the eigenvalue problem is solved numerically. The critical values ofa (the wave number) andTa (the Taylor number) are listed in a table and these are also shown graphically in the case of the rotation of the cylinders in clockwise and counter-clockwise direction. It is observed that greater amount of heat flux has a stabilising effect.
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