Fluid Dynamics

, Volume 53, Issue 4, pp 573–581 | Cite as

Problem of Optimal Control of the Turbulent Boundary Layer on a Permeable Surface in Supersonic Gas Flow

  • K. G. GaraevEmail author
  • I. R. Mukhametzyanov


The problem of constructing the law of distribution of the normal component of the velocity of blowing to the turbulent boundary layer at supersonic flow velocities which ensure the minimum convective heat flow transmitted from the boundary layer to the surface is considered. The power of the control system calculated with regard to Darcy’s law of flow through a porous medium acts as the isoperimetric condition. The problemis solved using the Dorodnitsyn generalized integral relations. The numerical experiments carried out in the case of flow past a sphere showed the effectiveness of the optimal blowing laws as compared with the uniform law, namely, the gain in the minimized functional reaches 31.82%.


supersonic flow turbulent boundary layer optimal control heat flows spherical surface 


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© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  1. 1.Tupolev Kazan National Research Technical University (KAI)KazanRussia
  2. 2.Tupolev Kazan National Research Technical University (KAI)Kazan, “Vostok” Branch, Chistopol’Russia

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