On the optimal control of viscous incompressible fluid flow. (English. Russian original) Zbl 0591.76046
J. Appl. Math. Mech. 48, 678-682 (1984); translation from Prikl. Mat. Mekh. 48, 929-934 (1984).
Summary: The framework of the Navier-Stokes equations is used to study flow past an arbitrary body on whose surface the tangential or normal velocity is under control. The necessary conditions are obtained for the minimum rate of energy dissipation. Exact analytical solutions of the corresponding problems are found for the case of flow past an ellipsoid in the Stokes approximation.
Keywords:
stationary flow; variational problem; necessary conditions; minimum rate of energy dissipation; Exact analytical solutions; flow past an ellipsoid; Stokes approximationReferences:
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