Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
F. Salah, Abdelmgid O. M. Sidahmed, K. Viswanathan
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引用次数: 1

Abstract

In this paper, the numerical solutions for magneto-hydrodynamic Hiemenz fluid over a nonlinear stretching sheet and the Brownian motion effects of nanoparticles through a porous medium with chemical reaction and radiation are studied. The repercussions of thermophoresis and mass transfer at the stagnation point flow are discussed. The plate progresses in the contrary direction or in the free stream orientation. The underlying PDEs are reshaped into a set of ordinary differential equations employing precise transformation. They are addressed numerically using the successive linearization method, which is an efficient systematic process. The main goal of this study is to compare the solutions obtained using the successive linearization method to solve the velocity and temperature equations in the presence of m changes, thereby demonstrating its accuracy and suitability for solving nonlinear differential equations. For comparison, tables containing the results are presented. This contrast is significant because it demonstrates the accuracy with which a set of nonlinear differential equations can be solved using the successive linearization method. The resulting solution is examined and discussed with respect to a number of engineering parameters. Graphs exemplify the simulation of distinct parameters that govern the motion factors.
非线性拉伸薄板上的化学MHD-Hiemenz流动和具有辐射效应的纳米颗粒在多孔介质中的布朗运动效应
本文研究了非线性拉伸片上磁流体动力学希门兹流体的数值解,以及纳米粒子在多孔介质中化学反应和辐射的布朗运动效应。讨论了滞止点流的热泳动和传质影响。板沿相反方向或自由流方向前进。底层偏微分方程被重新塑造成一组采用精确变换的常微分方程。采用连续线性化方法对其进行数值求解,是一种有效的系统处理方法。本研究的主要目的是比较逐次线性化方法在存在m变化情况下求解速度和温度方程的解,从而证明其求解非线性微分方程的准确性和适用性。为了比较,给出了包含结果的表格。这种对比是有意义的,因为它证明了用连续线性化方法求解一组非线性微分方程的准确性。根据一些工程参数对所得解进行了检验和讨论。图形举例说明了控制运动因素的不同参数的仿真。
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
Mathematical & Computational Applications
Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
自引率
10.50%
发文量
86
审稿时长
12 weeks
期刊介绍: Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.
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