The shape of a liquid surface between rotating concentric cylinders
The purpose of this paper is to calculate the shape of the top free surface of a non-Newtonian, liquid which is contained between axially rotating cylinders which have a common vertical axis. We shall consider the case in which the outer cylinder is stationary and the inner cylinder rotates with an angular velocity Ω. This is the flow situation described by Weissenberg (Nature 159, 310, 1947) and for most non-Newtonian liquids, on rotation, the liquid rises near the inner cylinder and falls near the outer. This effect is now generally known as the Weissenberg effect. Inertial forces alone would, of course, produce a fall at the inner and a rise at the outer cylinder.
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