Analysis of magnetohydrodynamic flow of Jeffrey-Hamel fluid in convergent/divergent channels using the numerical algorithm

IF 1.1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Kuwait Journal of Science Pub Date : 2025-07-30 DOI:10.1016/j.kjs.2025.100479

Mohsin Ul Haq , Dolat khan , Zeeshan Ali , Subhan Ullah , Walid Emam , Dragan Pamucar , Yusra Tashkandy

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Abstract

This study explores the magnetohydrodynamic (MHD) flow of a Jeffrey-Hamel fluid within a convergent/divergent channel, a scenario relevant to both physical and biological sciences. The flow dynamics between nonparallel inclined walls are governed by highly nonlinear differential equations derived through conservation laws and similarity transformations. By applying similarity transformations, the governing partial differential equations (PDEs) are converted into ordinary differential equations (ODEs). The NDSolve approach is then utilized to obtain numerical solutions for these equations. A comparison with existing methods in the literature confirms the accuracy and reliability of the results. Additionally, the impact of various dimensionless physical parameters, such as the influence of the magnetic parameter, angle alpha, and the Deborah number on the velocity profile is investigated. The parameters angle alpha, Eckert number, and volume friction are examined on the temperature profile, followed by a detailed discussion of the findings.

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用数值算法分析杰弗里-哈默尔流体在收敛/发散通道中的磁流体动力流动

本研究探讨了杰弗里-哈默尔流体在收敛/发散通道内的磁流体动力学（MHD）流动，这是一个与物理和生物科学相关的场景。非平行倾斜壁面间的流动动力学是由守恒定律和相似变换导出的高度非线性微分方程控制的。通过相似变换，将控制偏微分方程转化为常微分方程。然后利用NDSolve方法获得这些方程的数值解。通过与文献中已有方法的比较，证实了所得结果的准确性和可靠性。此外，还研究了各种无量纲物理参数，如磁参数、角α和黛博拉数对速度剖面的影响。参数角alpha， Eckert数和体积摩擦在温度剖面上进行了检查，然后对结果进行了详细的讨论。

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

Kuwait Journal of Science MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

28.60%

发文量

132

期刊介绍： Kuwait Journal of Science (KJS) is indexed and abstracted by major publishing houses such as Chemical Abstract, Science Citation Index, Current contents, Mathematics Abstract, Micribiological Abstracts etc. KJS publishes peer-review articles in various fields of Science including Mathematics, Computer Science, Physics, Statistics, Biology, Chemistry and Earth & Environmental Sciences. In addition, it also aims to bring the results of scientific research carried out under a variety of intellectual traditions and organizations to the attention of specialized scholarly readership. As such, the publisher expects the submission of original manuscripts which contain analysis and solutions about important theoretical, empirical and normative issues.