Abstract
An exact solution is presented for the inviscid modes of instability in Couette flow. When the cylinders rotate in the same direction, only one mode of instability is present. It corresponds to the convective modes found in the existing viscous treatments of the problem. When the cylinders rotate in opposite directions, however, two types of instability are present, the second being of an oscillatory type. These results suggest that although the “principle of exchange of stabilities” may be valid when the cylinders rotate in the same direction, it may not be valid when they rotate in opposite directions.
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