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On the numerical computation of the optimum profile in Stokes flow

Published online by Cambridge University Press:  29 March 2006

J.-M. Bourot
J.-M. Bourot
Affiliation:
Laboratoire de Mécanique des Fluides, Université de Poitiers, France
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Abstract

The body of given volume with the smallest drag in Stokes flow is obtained by making use of theoretical results due to Pironneau. A suitable family of solutions of the Stokes equations is used and the no-slip condition is expressed numerically by a technique of quadratic minimization. We find that the drag on this optimal body is 0·95425 times the drag on the sphere of equal volume.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 65 , Issue 3 , 16 September 1974 , pp. 513 - 515
Copyright
© 1974 Cambridge University Press

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References

Bourot, J.-M. 1969 J. Méc. 8, 301.
Bourot, J.-M. 1974 Comptes Rendus, A 278, 455.
Pironneau, O. 1973 J. Fluid Mech. 59, 117.