Approximate Analytical Solution of the Influences of Magnetic Field and Chemical Reaction on Unsteady Convective Heat and Mass Transfer of Air, Water, and Electrolyte Fluids Subject to Newtonian Heating in a Porous Medium

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
M. Sulemana, Y. I. Seini, O. D. Makinde
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Abstract

This paper addresses the unsteady hydrodynamic convective heat and mass transfer of three fluids namely air, water, and electrolyte solution past an impulsively started vertical surface with Newtonian heating in a porous medium under the influences of magnetic field and chemical reaction. Suitable dimensionless parameters are used to transform the flow equations and the approximate analytic method employed to solve the flow problem. The results are illustrated graphically for the velocity, temperature, and concentration profiles. Though, low Prandtl numbers produce high-thermal boundary layer thickness, however, as a novelty, the presence of the magnetic field delayed the convection motion hence, the thermal boundary layer thickness is greater for water with high Pr = 7.0 as compared to air with low Pr = 0.71 and electrolyte solution with low Pr = 1.0. Practically, water with a high-Prandtl number can effectively absorb and release heat. This makes water useful in applications such as geothermal heat pumps and solar thermal collectors, industrial processes such as chemical reactions, distillation, and drying, and in oceanography in predicting the movement and behavior of ocean currents, which in turn can impact weather patterns and climate. Another major observation from the study is that the rate of cooling associated with air, water, or electrolyte impacts differently on the product being cooled.
磁场和化学反应对多孔介质中受牛顿加热的空气、水和电解质流体的非稳态对流传热和传质影响的近似解析解
本文论述了在磁场和化学反应的影响下,空气、水和电解质溶液这三种流体经过多孔介质中一个牛顿加热的脉冲启动垂直表面时的非稳态流体动力对流传热和传质问题。使用合适的无量纲参数转换流动方程,并采用近似解析法解决流动问题。结果以图表形式显示了速度、温度和浓度剖面。虽然低普朗特数会产生高热边界层厚度,但新颖的是,磁场的存在延迟了对流运动,因此,与低普朗特数(Pr = 0.71)的空气和低普朗特数(Pr = 1.0)的电解质溶液相比,高普朗特数(Pr = 7.0)的水的热边界层厚度更大。实际上,Prandtl 数高的水可以有效地吸收和释放热量。这使得水在地热热泵和太阳能集热器等应用中,在化学反应、蒸馏和干燥等工业过程中,以及在海洋学中预测洋流的运动和行为(这反过来又会影响天气模式和气候)时非常有用。研究的另一个主要发现是,空气、水或电解质的冷却速度对冷却产品的影响各不相同。
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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