Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-07-11 DOI:10.1515/ijnsns-2021-0244

Varunkumar Merugu, Muthu Poosan

引用次数: 0

Abstract

Abstract In this paper, a mathematical model for the steady laminar, incompressible and Newtonian fluid flow in a proximal renal tubule is presented. In this, the tubule is considered as a tapered tube with double constriction and permeable boundary. The impact of the fluid reabsorption across the tubule wall is assumed as the occurrence of exponentially decreasing flow at each cross-section. The present model is formulated through the Navier–Stokes equations, under the appropriate boundary conditions. A regular perturbation technique is used to obtain the approximate solutions. This study brings out the significant impacts of reabsorption coefficient (α) and tapered angle (ϕ) on the flow variables such as velocities, the drop in pressure, and wall shear stress are discussed through graphs. The streamlines are also plotted to understand the influence of the reabsorption and tapering phenomena on the flow.

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具有可渗透边界的双收缩锥形管中流体流动的数学模型

摘要本文建立了近端肾小管内稳态层流、不可压缩和牛顿流体流动的数学模型。在这种情况下，小管被认为是一个具有双重收缩和可渗透边界的锥形管。跨小管壁的流体再吸收的影响被假设为在每个横截面处发生指数递减的流动。本模型是通过Navier-Stokes方程在适当的边界条件下建立的。利用正则摄动技术得到近似解。本研究通过图表讨论了再吸收系数（α）和锥角（ξ）对流速、压降和壁剪切应力等流动变量的显著影响。还绘制了流线，以了解再吸收和锥形现象对流量的影响。

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.