非定常瑞利边界层中的自由流相干结构

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED IMA Journal of Applied Mathematics Pub Date : 2020-11-25 DOI:10.1093/imamat/hxaa038

Eleanor C. Johnstone, P. Hall

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引用次数: 1

摘要

给出了Navier–Stokes方程在由平板从静止状态脉冲启动建立的边界层中的非线性平衡解的结果。这些解采用波-滚-条纹相互作用的形式，发生在位于边界层边缘的层中。这扩展了先前在稳定2D边界层中类似非线性平衡解的结果。结果是渐近导出的，然后与通过在时间上推进简化边界区扰动方程获得的数值结果进行比较。结果表明，先前在稳定边界层中发现的正则自由流相干结构可以嵌入无界非定常剪切流中。

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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Free-stream coherent structures in the unsteady Rayleigh boundary layer

Results are presented for nonlinear equilibrium solutions of the Navier–Stokes equations in the boundary layer set up by a flat plate started impulsively from rest. The solutions take the form of a wave–roll–streak interaction, which takes place in a layer located at the edge of the boundary layer. This extends previous results for similar nonlinear equilibrium solutions in steady 2D boundary layers. The results are derived asymptotically and then compared to numerical results obtained by marching the reduced boundary-region disturbance equations forward in time. It is concluded that the previously found canonical free-stream coherent structures in steady boundary layers can be embedded in unbounded, unsteady shear flows.

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来源期刊

IMA Journal of Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

24 months

期刊介绍： The IMA Journal of Applied Mathematics is a direct successor of the Journal of the Institute of Mathematics and its Applications which was started in 1965. It is an interdisciplinary journal that publishes research on mathematics arising in the physical sciences and engineering as well as suitable articles in the life sciences, social sciences, and finance. Submissions should address interesting and challenging mathematical problems arising in applications. A good balance between the development of the application(s) and the analysis is expected. Papers that either use established methods to address solved problems or that present analysis in the absence of applications will not be considered. The journal welcomes submissions in many research areas. Examples are: continuum mechanics materials science and elasticity, including boundary layer theory, combustion, complex flows and soft matter, electrohydrodynamics and magnetohydrodynamics, geophysical flows, granular flows, interfacial and free surface flows, vortex dynamics; elasticity theory; linear and nonlinear wave propagation, nonlinear optics and photonics; inverse problems; applied dynamical systems and nonlinear systems; mathematical physics; stochastic differential equations and stochastic dynamics; network science; industrial applications.