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Invariant Boundary‐Value Problems of an Optimally Controlled Boundary Layer

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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.

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Authors and Affiliations

  1. Kazan' State Technical University, Kazan', 420111

    K. G. Garaev & V. A. Ovchinnikov

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  1. K. G. Garaev
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  2. V. A. Ovchinnikov
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Garaev, K.G., Ovchinnikov, V.A. Invariant Boundary‐Value Problems of an Optimally Controlled Boundary Layer. Journal of Applied Mechanics and Technical Physics 44, 27–31 (2003). https://doi.org/10.1023/A:1021769411305

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  • DOI: https://doi.org/10.1023/A:1021769411305

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