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多孔旋转圆盘电极引起的冯·卡门涡旋流分析

Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode.

作者信息

Visuvasam James, Alotaibi Hammad

机构信息

Department of Mathematics, Rathnavel Subramaniam College of Arts and Science (Autonomous), Coimbatore 641 402, Tamil Nadu, India.

Department of Mathematics and Statistics, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia.

出版信息

Micromachines (Basel). 2023 Feb 28;14(3):582. doi: 10.3390/mi14030582.

Abstract

The study of Von Kármán swirling flow is a subject of active interest due to its applications in a wide range of fields, including biofuel manufacturing, rotating heat exchangers, rotating disc reactors, liquid metal pumping engines, food processing, electric power generating systems, designs of multi-pore distributors, and many others. This paper focusses on investigating Von Kármán swirling flows of viscous incompressible fluid due to a rotating disk electrode. The model is based on a system of four coupled second-order non-linear differential equations. The purpose of the present communication is to derive analytical expressions of velocity components by solving the non-linear equations using the homotopy analysis method. Combined effects of the slip λ and porosity γ parameters are studied in detail. If either parameter is increased, all velocity components are reduced, as both have the same effect on the mean velocity profiles. The porosity parameter γ increases the moment coefficient at the disk surface, which monotonically decreases with the slip parameter λ. The analytical results are also compared with numerical solutions, which are in satisfactory agreement. Furthermore, the effects of porosity and slip parameters on velocity profiles are discussed.

摘要

由于冯·卡门涡旋流在包括生物燃料制造、旋转热交换器、旋转盘式反应器、液态金属泵发动机、食品加工、发电系统、多孔分配器设计等众多领域的应用,对其研究是一个备受关注的课题。本文着重研究旋转圆盘电极引起的粘性不可压缩流体的冯·卡门涡旋流。该模型基于一个由四个耦合的二阶非线性微分方程组成的系统。本通讯的目的是通过使用同伦分析方法求解非线性方程来推导速度分量的解析表达式。详细研究了滑移参数λ和孔隙率参数γ的综合影响。如果任一参数增加,所有速度分量都会降低,因为两者对平均速度剖面具有相同的影响。孔隙率参数γ会增加圆盘表面的力矩系数,该系数随滑移参数λ单调减小。还将解析结果与数值解进行了比较,两者吻合良好。此外,还讨论了孔隙率和滑移参数对速度剖面的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5afe/10056891/e946008cbcb5/micromachines-14-00582-g001.jpg

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