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Optimal control of viscous flow at high reynolds numbers

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Abstract

The most promising and most highly developed method for reducing drag in aerodynamics remains control of the flow by blowing and suction. In practice the main control problems remain the reduction of separation and the protracting of the transition of the boundary layer. These problems are solved mainly by experimental methods [1]. Meanwhile the main theoretical question remains unanswered: what is the theoretical minimum drag attainable by control through blowing (or suction)? In the present study an answer is given to this question for the cage of laminar flow round a body by a viscous incompressible fluid at high Reynolds numbers.

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Literature cited

  1. Reduction of Viscosity Friction [in Russian], Mashinostroenie, Moscow (1984).

  2. M. A. Brutyan and P. L. Krapivskii, “Optimal control of the flow of a viscous incompressible fluid,” Prikl. Mat. Mekh.,48, 929 (1984).

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 174–176, May–June, 1986.

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Brutyan, M.A., Krapivskii, P.L. & Sychev, V.V. Optimal control of viscous flow at high reynolds numbers. Fluid Dyn 21, 485–488 (1986). https://doi.org/10.1007/BF01409738

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  • DOI: https://doi.org/10.1007/BF01409738

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