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IMA Journal of Applied Mathematics 1971 7(3):367-376; doi:10.1093/imamat/7.3.367
© 1971 by Institute of Mathematics and its Applications
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Towards the Minimum Drag on a Body of Given Volume in Slow Viscous Flow

S. R. WATSON

Statistical Laboratory, University of Cambridge England

By merging a natural variational principle with a minimizing procedure it is possible to obtain an upper bound on the minimum possible drag on a body of given volume moving through a fluid at zero Reynolds number, and constant speed. A discussion is also given of the possibility of finding a lower bound to this quantity.


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