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Torsional oscillations of a non-Newtonian fluid with a free surface

Published online by Cambridge University Press:  19 April 2006

T. W. Secomb  and
S. Rosenblat
T. W. Secomb
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria 3052 Present address: Department of Applied Mathematics and Theoretical Physics, University of Cambridge.
S. Rosenblat
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria 3052
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Abstract

A study is made of the flow and the shape of the free surface of a non-Newtonian fluid contained in a flat-bottomed cylindrical vessel performing torsional oscillations of small amplitude. For the case where the fluid depth is small compared with the vessel radius, the solution is shown to have a simple radial dependence except in a boundary-layer region near the side wall. It is shown that under certain circumstances the mean steady second-order components of both free surface curvature and radial–axial flow may be in the reverse direction to those for a Newtonian fluid. It is found that flow reversal may occur at any frequency of oscillation, but that surface curvature reversal cannot occur at low frequencies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 93 , Issue 4 , 29 August 1979 , pp. 767 - 780
Copyright
© 1979 Cambridge University Press

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References

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Rosenblat, S. 1978 Reversal of secondary flow in non-Newtonian fluids. J. Fluid Mech. 85, 387.Google Scholar