Time-Dependent Magnetohydrodynamic (MHD) Flow of an Exothermic Arrhenius Fluid in a Vertical Channel with Convective Boundary Condition

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
M. Hamza, S. Abdulsalam, S. Ahmad
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引用次数: 1

Abstract

The current study examined the effects of magnetohydrodynamics (MHD) on time-dependent mixed convection flow of an exothermic fluid in a vertical channel. Convective heating and Navier’s slip conditions are considered. The dimensional nonlinear flow equations are transformed into dimensionless form with suitable transformation. For steady-state flow formations, we apply homotopy perturbation approach. However, for the unsteady-state governing equation, we use numerical technique known as the implicit finite difference approach. Flow is influenced by several factors, including the Hartmann number, Newtonian heating, Navier slip parameter, Frank-Kamenetskii parameter, and mixed convection parameter. Shear stress and heat transfer rates were also investigated and reported. The steady-state and unsteady-state solutions are visually expressed in terms of velocity and temperature profiles. Due to the presence of opposing force factors such as the Lorentz force, the research found that the Hartmann number reduces the momentum profile. Fluid temperature and velocity increase as the thermal Biot number and Frank-Kamenetskii parameter increase. There are several scientific and infrastructure capabilities that use this type of flow, such flow including solar communication systems exposed to airflow, electronic devices cooled at room temperature by airflow, nuclear units maintained during unscheduled shutoffs, and cooling systems occurring in low circumstances. The current findings and the literature are very consistent, which recommend the application of the current study.
具有对流边界条件的垂直通道中放热Arrhenius流体的时变磁流体动力学(MHD)流动
本研究考察了磁流体动力学(MHD)对垂直通道中放热流体随时间变化的混合对流流动的影响。考虑了对流加热和Navier滑移条件。通过适当的变换,将有量纲的非线性流动方程转化为无量纲形式。对于稳态流地层,我们采用同伦摄动方法。然而,对于非稳态控制方程,我们使用被称为隐式有限差分方法的数值技术。影响流动的因素包括Hartmann数、牛顿加热、Navier滑移参数、Frank-Kamenetskii参数和混合对流参数。剪切应力和传热速率也进行了研究和报道。稳态和非稳态解用速度和温度曲线直观地表示。由于洛伦兹力等相反力因子的存在,研究发现哈特曼数减小了动量分布。流体温度和流速随热Biot数和Frank-Kamenetskii参数的增大而增大。有几个科学和基础设施功能使用这种类型的流动,包括暴露在气流中的太阳能通信系统,在室温下被气流冷却的电子设备,在计划外关闭期间维持的核装置,以及在低环境下发生的冷却系统。目前的研究结果与文献非常一致,推荐本研究的应用。
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
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
期刊介绍: Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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