Russian Aeronautics

, Volume 61, Issue 3, pp 391–395 | Cite as

To the Problem of Friction Minimization on Permeable Surfaces at Supersonic Flow Rate

  • K. G. Garaev
  • I. R. MukhametzyanovEmail author
Aero- and Gas-Dynamics of Flight Vehicles and Their Engines


In this paper, we consider the variational problem of minimizing the Newtonian drag on an airfoil in a supersonic gas flow. A new condition for Lagrange multipliers on the streamlined airfoil was found that can be used to construct an optimal law for injection control in the analytical form. It is shown that for the flow around wedges, this control is finite at the stagnation point that is important in terms of practical realization of the optimal control.


supersonic flow laminar boundary layer functional permeable airfoil optimum injection 


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© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Tupolev Kazan National Research Technical UniversityKazanRussia
  2. 2.Chistopol Branch “Vostok”Tupolev Kazan National Research Technical UniversityChistopol TatarstanRussia

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