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The Quarterly Journal of Mechanics and Applied Mathematics 1956 9(3):313-319; doi:10.1093/qjmam/9.3.313
© 1956 by Oxford University Press
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EXTREMUM PRINCIPLES FOR SLOW VISCOUS FLOW AND THE APPROXIMATE CALCULATION OF DRAG

R. HILL and G. POWER

( Department of Mathematics
University of Nottingham )

A complementary pair of extremum principles are proved for a Newtonian viscous fluid in quasi-static flow. It is shown how these can be used to obtain arbitrarily close approximations from above and below to the total rate of energy dissipation and hence to the drag on a translated or rotated body in the fluid.


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