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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 1, Pages 33–38
(Mi pmtf2455)
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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.
Received: 28.05.2002
Citation:
K. G. Garaev, V. A. Ovchinnikov, “Invariant boundary-value problems of an optimally controlled boundary layer”, Prikl. Mekh. Tekh. Fiz., 44:1 (2003), 33–38; J. Appl. Mech. Tech. Phys., 44:1 (2003), 27–31
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https://www.mathnet.ru/eng/pmtf2455 https://www.mathnet.ru/eng/pmtf/v44/i1/p33
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