Invariant boundary-value problems of an optimally controlled boundary layer

K. G. Garaev, V. A. Ovchinnikov

Kazan' State Technical University, Kazan', 420111

Abstract: The group properties of equations of the variational problem on finding a continuous law for velocity distribution of liquid injection into an incompressible laminar boundary layer in a planar case, which ensures the minimum friction force acting on the airfoil, are considered. It is shown that the optimal injection velocity on a wedge with $x=0$ is finite.

Keywords: viscous liquid, optimal control, transformation groups.

UDC: 532.526

Received: 28.05.2002

 English version: Journal of Applied Mechanics and Technical Physics, 2003, 44:1, 27–31

Bibliographic databases:

•