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The Quarterly Journal of Mechanics and Applied Mathematics 1980 33(3):337-355; doi:10.1093/qjmam/33.3.337
© 1980 by Oxford University Press
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THE TORQUE ON A ROTATING BODY IN A LIQUID WITH A SURFACTANT LAYER AND ITS RELATION TO THE VIRTUAL MASS OF A HEAVING BODY

A. M. J. DAVIS

( Department of Mathematics, University College London )

This paper considers the problem of calculating the resistive torque on a body rotating slowly with constant angular speed either fully or partially immersed in a liquid with an adsorbed surface film. By introducing a suitable potential, this is shown to be similar to that of calculating the virtual mass of a body which generates surface waves in an incompressible fluid by means of a time-periodic heaving motion. Asymptotic results valid for the extreme values of the parameters are obtained and it is shown, in various cases, how the correspondence can provide an alternative, possibly better, method of finding the torque or virtual mass.


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