曲面上局部小不规则流动中边界层的双层结构

IF 1.5 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2025-09-29 DOI:10.1134/S1061920825600461

R.K. Gaydukov

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引用次数: 0

摘要

得到了高雷诺数下粘性不可压缩流体绕小不规则曲面流动问题的双层边界层结构方程。结果表明，由于所选择的坐标系，双层结构的方程形式与先前研究的平面上小不规则情况的方程形式一致；差别只在于系数的值。这意味着平面情况下的流动模拟结果可以定性地转移到曲线情况下。DOI 10.1134 / S1061920825600461

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Double-Deck Structure of the Boundary Layer in the Flow Around a Small Localized Irregularity on a Curved Surface

Equations of the double-deck boundary layer structure are obtained in the problem of a flow of a viscous incompressible fluid around a small irregularity on a curved surface at high Reynolds numbers. It is shown that ,due to the chosen coordinate system, the form of the equations of the double-deck structure coincides with those of the previously studied case of a small irregularity on a flat surface; the difference lies only in the values of the coefficients. This means that the results of flow modelling for the flat case can be qualitatively transferred to the curvilinear case.

DOI 10.1134/S1061920825600461

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.