Double-Deck Structure in a Fluid Flow Induced by a Uniformly Rotating Disk with Small Irregularities: the Nonsymmetric Case

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2024-06-28 DOI:10.1134/s1061920824020067

R.K. Gaydukov

引用次数: 0

Abstract

The problem of a uniformly rotating disk with slightly perturbed surface immersed in a viscous fluid is considered for large Reynolds numbers. The asymptotic solutions with double-deck structure of the boundary layer are constructed for a nonsymmetric irregularity localized on the disk surface. The results of numerical simulation of the flow near the surface are presented. The differences between the problem under consideration and the case of an irregularity symmetric with respect to the disk axis of rotation are shown.

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具有小不规则的匀速转动圆盘诱导的流体流动中的双层结构：非对称情况

摘要研究了在大雷诺数条件下，表面轻微扰动的匀速转动圆盘浸入粘性流体的问题。针对圆盘表面局部的非对称不规则性，构建了边界层双层结构的渐近解。介绍了表面附近流动的数值模拟结果。显示了所考虑的问题与相对于圆盘旋转轴对称的不规则情况之间的差异。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.