¬¬Chemical Reaction and Nonlinear Rosseland Approximation Effects On Double-Diffusive MHD Sisko Nanofluid Flow Over a Nonlinear Stretching Sheet in A Porous Medium with Concentration-Dependent Internal Heat Source

L. Ebiwareme, K. W. Bunonyo
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Abstract

This study investigates the two-dimensional magnetohydrodynamics laminar flow of a Sisko nanofluid over a nonlinear stretching sheet in a porous medium, considering chemical reactions, nonlinear Rosseland approximation, and an internal heat source based on concentration. The governing boundary layer equations and associated boundary conditions are transformed into non-dimensional form using appropriate variables. The resulting non-dimensional equations are solved using the modified Adomian decomposition technique, implemented with the symbolic computing software MATHEMATICA. The influence of various parameters, including Prandtl number, thermophoresis parameter, Brownian motion parameter, chemical reaction parameter, Sisko fluid parameters, heat source parameter, radiation parameter, Darcy number, mass Grashof number, magnetic field, and Grashof number, on the flow fields of velocity, temperature, and nanoparticles volume fractions is depicted through graphical representations. The study reveals that the velocity profile is accelerated by the first value of the Sisko fluid parameter and Darcy number, but it diminishes in the presence of a magnetic field and the second Sisko fluid parameter. The temperature profile decreases with an increment in the Prandtl number, while it improves in proportion to increases in the heat source, thermophoresis, Brownian motion, and radiation parameters respectively. Additionally, an increase in the chemical reaction parameter leads to an increase in the concentration profile of the fluid.
¬¬化学反应和非线性罗斯兰近似对多孔介质中非线性拉伸片上双扩散 MHD 西斯科纳米流体流动的影响
本研究探讨了多孔介质中非线性拉伸片上的西斯科纳米流体的二维磁流体力学层流,考虑了化学反应、非线性罗斯兰德近似和基于浓度的内部热源。利用适当的变量将边界层方程和相关边界条件转化为非维度形式。利用符号计算软件 MATHEMATICA 实施的修正 Adomian 分解技术,对所得到的非一维方程进行求解。各种参数,包括普朗特数、热泳参数、布朗运动参数、化学反应参数、西斯科流体参数、热源参数、辐射参数、达西数、质量格拉肖夫数、磁场和格拉肖夫数,对速度、温度和纳米粒子体积分数流场的影响通过图形表示出来。研究表明,速度曲线在第一个西斯科流体参数值和达西数的作用下加快,但在磁场和第二个西斯科流体参数的作用下减慢。温度曲线随普朗特数的增加而减小,而随热源、热泳、布朗运动和辐射参数的增加而分别成比例地改善。此外,化学反应参数的增加也会导致流体浓度曲线的增加。
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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