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

K. G. Garaev; I. R. Mukhametzyanov

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

机译：超音速流速下渗透表面摩擦最小化的问题

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摘要

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.

机译：在本文中，我们考虑在超音气流中最小化牛顿拖曳的变分问题。发现流线型翼型上的拉格朗日乘法器的新条件，可用于构建分析形式中注射控制的最佳定律。结果表明，对于楔形的流动，该控制在滞留点是有限的，这在实际实现最佳控制方面是重要的。

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来源
《Russian Aeronautics》 |2018年第3期|共5页
作者
K. G. Garaev; I. R. Mukhametzyanov;
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作者单位

Tupolev Kazan National Research Technical University;

Chistopol Branch “Vostok” Tupolev Kazan National Research Technical University;

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原文格式 PDF
正文语种 eng
中图分类航空;
关键词
supersonic flow; laminar boundary layer; functional; permeable airfoil; optimum injection;

机译：超音速流动;层压边界层;功能性;可渗透的翼型;最佳注射;

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专利

1. To the Problem of Friction Minimization on Permeable Surfaces at Supersonic Flow Rate [J] . K. G. Garaev, I. R. Mukhametzyanov Russian Aeronautics . 2018,第3期

机译：超音速流速下渗透表面摩擦最小化的问题
2. THE PROBLEM OF MINIMIZING FRICTION RESISTANCE ON WEDGES IN THE SUPERSONIC FLOW [J] . K. G. Garaev, M. A. Daragan, D. M. Osadchaya Russian Aeronautics . 2006,第3期

机译：超音速流动中的楔形摩擦阻力最小化问题
3. Problem of Optimal Control of the Turbulent Boundary Layer on a Permeable Surface in Supersonic Gas Flow [J] . Garaev K. G., Mukhametzyanov I. R. Fluid Dynamics . 2018,第4期

机译：超声气流渗透表面上湍流边界层最优控制问题
4. Boundary layer flows induced by permeable continuous surfaces stretched with prescribed skin friction [C] . Mohamed Ali, Khaled Al-Salem Recent researches in mechanics . 2011

机译：由具有规定的皮肤摩擦力的可渗透连续表面拉伸引起的边界层流动
5. Direct measurement of skin friction in complex supersonic flows. [D] . Novean, Michael George Bernard. 1996

机译：在复杂的超声波流中直接测量皮肤摩擦。
6. Antibody-Functionalized Fluid-Permeable Surfaces for Rolling Cell Capture at High Flow Rates [O] . Sukant Mittal, Ian Y. Wong, William M. Deen, 2012

机译：抗体功能化的可渗透流体的表面可在高流速下捕获滚动细胞
7. On the accuracy of engineering methods for calculation of specific heat flow in laminar boundary layer on non-permeable "wall" of hemisphere surface in a supersonic gas flow [O] . В.В. Горский, В.А. Сысенко, А.А. Блохина 2015

机译：超声波气流中半球表面不透水“壁”在层边界层上比率的施书方法的准确性

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

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