Secondary Flow in a Rotating Straight Annular Channel

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When an incompressible liquid flows under the action of a constant pressure gradient through a channel of arbitrary cross section rotating with a uniform angular velocity about an axis perpendicular to the channel, secondary flow is set up. The secondary flow is examined, assuming the channel to be the annulus between two concentric circles. It is shown that the secondary motion may be regarded as screw motion in opposite directions about two pairs of straight lines passing through four degenerate points lying on the axis of rotation. The stream lines in the central plane are discussed and an expression for the rate of flow is obtained .The results of Barua are recovered as a particular case for a single channel of circular cross section.

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