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Magnetically controlled suction of the boundary layer. (English. Russian original) Zbl 0964.76092

Magnetohydrodynamics 34, No. 3, 171-181 (1998); translation from Magn. Gidrodin. 34, No. 3, 211-224 (1998).
The authors revise an old problem first posed by L. Prandtl. Though the method of boundary layer suction from the body surface in a stream, in order to reduce the drag force while the lift force is increased, was developed by Prandtl and was proven to be effective, it was difficult to realize it in practice. To improve the situation, here the authors apply a magnetic field to control the boundary-layer flow over a plate. The general approach uses a self-similar formulation and a power function of longitudinal coordinate as the suction law on the surface. This formulation leads to the Falkner-Skan equation. An important feature is that the longitudinal velocity of the boundary layer in this self-similar formulation cannot be specified beforehand. The longitudinal external flow cannot be arbitrary and depends on the suction law.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76D55 Flow control and optimization for incompressible viscous fluids
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