多孔壁层流通道中的非对称吸力和注入:定点法

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
David Bee Olmedo
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引用次数: 0

摘要

本研究考虑了在带有一对多孔壁的矩形通道中的层流问题。多孔壁允许流体以与壁面平行的恒定速度注入或吸出通道;每个壁面的速度不一定相等,方向也不一定对称。在本文中,通过应用巴纳赫定点定理,证明在足够低的雷诺数条件下,该问题存在唯一的解决方案。这有助于进一步讨论该问题解的唯一性,同时也证明了定点方法适用于这一系列流体动力学问题。S. Almuthaybiri 和 C. C. Tisdell.多孔壁通道中的层流:Laminar flow in channels with porous walls: Advancing the existence, uniqueness and approximation of solutions via fixed point approaches.J. Fixed Point Theory Appl. 24.3, 55 (2022). doi: 10.1007/s11784-022-00971-8A.S. Berman.多孔壁通道中的层流。J. Appl. Phys. 24.9 (1953), pp.Guo, C. Gui, P. Lin, and M. Zhao.通过不同渗透率多孔通道的层流的多重解及其渐近。IMA J. Appl.doi: 10.1093/imamat/hxaa006A.J. Jerri.积分方程及其应用导论》。New York:Dekker Inc., 1985, p. 254R.M. Terrill and G. M. Shrestha.Laminar flow through parallel and uniformly porous walls of different permeability.Z. Angew.Z. Angew.16.4 (1965), pp.M. White, B. F. Barfield, and M. J. Goglia.均匀多孔通道中的层流。J. Appl.25.4 (1958), pp.
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Asymmetrical suction and injection in laminar channels with porous walls: a fixed point approach
The problem of laminar flow in a rectangular channel with a pair of porous walls is considered. The porous walls allow fluid to be injected into or sucked out of the channel at constant velocities normal to the walls; the velocities at each wall are not necessarily of equal magnitude nor symmetrical in direction. In this article, a unique solution to this problem is shown to exist for sufficiently low Reynolds numbers through the application of Banach's fixed point theorem. This serves to further the discussion about the uniqueness of solutions for this problem, whilst also demonstrating the suitability of a fixed point approach to this family of fluid dynamics problems. References S. S. Almuthaybiri and C. C. Tisdell. Laminar flow in channels with porous walls: Advancing the existence, uniqueness and approximation of solutions via fixed point approaches. J. Fixed Point Theory Appl. 24.3, 55 (2022). doi: 10.1007/s11784-022-00971-8 A. S. Berman. Laminar flow in channels with porous walls. J. Appl. Phys. 24.9 (1953), pp. 1232–1235. doi: 10.1063/1.1721476 H. Guo, C. Gui, P. Lin, and M. Zhao. Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities. IMA J. Appl. Math. 85.2 (2020), pp. 280–308. doi: 10.1093/imamat/hxaa006 A. J. Jerri. Introduction to Integral Equations with Applications. New York: Dekker Inc., 1985, p. 254 R. M. Terrill and G. M. Shrestha. Laminar flow through parallel and uniformly porous walls of different permeability. Z. Angew. Math. Phys. 16.4 (1965), pp. 470–482. doi: 10.1007/BF01593923 F. M. White, B. F. Barfield, and M. J. Goglia. Laminar flow in a uniformly porous channel. J. Appl. Mech. 25.4 (1958), pp. 613–617. doi: 10.1115/1.4011881
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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