On the positive self-similar solutions of the boundary-layer wedge flow problem of a power-law fluid

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-13 DOI:10.1007/s10665-024-10394-8

Jamal El Amrani, Tarik Amtout, Mustapha Er-Riani, Aadil Lahrouz, Adel Settati

引用次数: 0

Abstract

We first study the existence and uniqueness of a positive self-similar solution of the 2D boundary-layer equations of an incompressible viscous power-law fluid when the external flow is accelerating, and then we derive the bounds of the wall shear stress rate. For shear-thickening fluids, we show that the matching with the external flow occurs at a finite distance. Furthermore, we also investigate the asymptotic behaviour at infinity of positive solutions in the case of shear-thinning fluids.

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论幂律流体边界层楔形流问题的正自相似解

我们首先研究了外部流加速时不可压缩粘性幂律流体二维边界层方程正自相似解的存在性和唯一性，然后推导了壁面剪应力率的边界。对于剪切增厚流体，我们证明与外部流的匹配发生在有限距离内。此外，我们还研究了剪切稀化流体正解在无穷远处的渐近行为。

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

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.