Abstract
The effect of a radial temperature gradient on the character of the critical disturbances responsible for the onset of instability of Couette flow is examined. The stability equations with respect to non-axisymmetric disturbances are derived and solved numerically for the narrow gap case. For counter-rotating cylinders, we found that the critical non-axisymmetric disturbances of the isothermal flow become axisymmetric when the outer cylinder temperature θ 2 is higher than the inner cylinder temperature θ 1 by a certain critical value. For the stationary outer cylinder, the critical axisymmetric disturbances become non-axisymmetric when θ 2 is less than θ 1 by a certain critical value. These critical values are calculated for fluids with different Prandtl numbers.
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