磁场存在下的自然对流库埃特流及其热特性

E. Omokhuale, M. Dange
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摘要

本文研究了由于热辐射效应而导电的流体动力粘性流体中的自然对流库埃特流。本文采用具有初始条件和边界条件的一维偏微分方程(PDEs)形式对控制流进行建模,并采用Couette流体模型对流体行为进行表征。然后,利用合适的非量纲量对控制非线性偏微分方程进行变换。由于所研究问题的流动控制方程极其复杂和复杂,因此采用了补充实验和理论流体动力学的技术,提供了可能更便宜的测试流体流动系统的替代方法。因此,对偏微分方程进行离散化处理后,采用有限元法进行求解。通过一系列的数值实验,用图形和表格的形式考察了工程兴趣的嵌入式热物性参数对流体流速、温度、浓度等流量的影响,并进行了讨论。本研究还对Omokhuale和Jabaka (2022b)获得的结果进行了分析和比较。有趣的是,双方达成了一项很好的协议,从而证实了FEM作为一种有力工具的准确性。研究结果表明,随着数值的增加,热辐射对热边界层和动量边界层的作用是显著的,并且磁场参数的增加由于洛伦兹力的作用阻碍了流体的运动。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Natural Convection Couette Flow in the Presence of Magnetic Field and Thermal Property
This article examines the natural convection Couette flow in a hydrodynamic viscous fluid that is electrically conductive due to the thermal radiation effect. The governing flow in this study is modelled in the form of partial differential equations (PDEs) in dimensional form with initial and boundary conditions and the Couette fluid model is also be used to characterize the fluid behavior. Then, using suitable non-dimensional quantities, the governing non-linear PDEs are transformed. Since the flow governing equations of the problem under study are extremely complex and complicated, techniques that complement experimental and theoretical fluid dynamics by providing alternative potentially cheaper means of testing fluid flow systems is employed. Therefore, the Finite Element Method (FEM) is used after discretization of the PDEs. With Graphs and tables, the effects of embedded thermo physical parameters of engineering interests associated with the flow quantities viz. velocity, temperature, concentration of the fluid were examined through series of numerical experiments and discussed. This research also analyzes and compares the results obtained by Omokhuale and Jabaka (2022b). It is interesting to report that an excellent agreement was established, thereby authenticating and validating the accuracy of FEM as a strong tool. According to the results of this study, the actions of thermal radiation on the thermal and momentum boundary layers for increasing values are significant, also, increasing the magnetic field parameter impedes the fluid movement due to the Lorentz force action.
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