化学反应和焦耳加热对感应磁场和牛顿加热/冷却下平行垂直多孔板间MHD广义Couette流动的影响

Jumanne Mng’ang’a
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引用次数: 1

摘要

本文研究了在感应磁场和牛顿加热/冷却条件下,化学反应和焦耳加热对垂直多孔板间MHD广义Couette流的影响。MHD广义Couette流动的数学模型考虑了粘性耗散的影响。采用有限差分法对控制流动的非线性偏微分方程组进行了数值求解。在MATLAB中对所得到的数值格式进行了仿真,得到了流速、感应磁场、温度和浓度等流动变量的图形化分布。此外,还通过表格形式对流动参数对摩擦系数、努塞尔数和舍伍德数的影响进行了数值计算和讨论。结果表明,化学反应参数的增大会导致浓度曲线的减小。焦耳加热参数和产热参数的增加也会导致温度分布的增加。感应磁场分布随雷诺数的增加而增加。这项研究的发现非常重要,因为它可以应用于开发各种化学技术,包括聚合物制造、MHD泵、食品加工、化学催化反应器、天文学、MHD流量计和润滑。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Effects of Chemical Reaction and Joule Heating on MHD Generalized Couette Flow between Two Parallel Vertical Porous Plates with Induced Magnetic Field and Newtonian Heating/Cooling
In this article, the effects of chemical reaction and Joule heating on MHD generalized Couette flow between two vertical porous plates with induced magnetic field and Newtonian heating/cooling have been investigated. The mathematical model used for the MHD generalized Couette flow takes into account the effect of viscous dissipation. The system of nonlinear partial differential equations governing the flow was solved numerically using the finite difference method. The resulting numerical schemes are simulated in MATLAB to obtain the profiles of the flow variables such as velocity, induced magnetic field, temperature, and concentration profiles graphically. Also, the effects of the flow parameters on the skin-friction coefficient, Nusselt number, and Sherwood number are obtained and discussed numerically through tabular forms. The findings show that an increase in the chemical reaction parameter leads to a decrease in the concentration profiles. Also, increase in the Joule heating parameter and heat generation parameter leads to an increase in the temperature profiles. Induced magnetic field profiles increase with an increase in Reynold’s number. The findings of this study are important due to its application in developing a variety of chemical technologies, including polymer manufacturing, MHD pumps, food processing, chemical catalytic reactors, astronomy, MHD flow meters, and lubrication.
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