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Keywords:
Stokes flows; hydrodynamical drag; lower and upper bounds
Stokes flows; hydrodynamical drag; lower and upper bounds
Summary:
This paper is devoted to lower and upper bounds of the hydrodynamical drag $T$ for a body in a Stokes flow. We obtain the upper bound since the solution for a flow in an annulus and therefore the hydrodynamical drag can be explicitly derived. The lower bound is obtained by comparison to the Newtonian capacity of a set and with the help of a result due to J. Simon $\,[10]$. The chosen approach provides an interesting lower bound which is independent of the interior of the body.
References:
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