Effect of Hall Current on Unsteady Magneto Hydrodynamic Flow Past an Exponentially Accelerated Inclined Plate with Variable Temperature and Mass Diffusion

IF 0.3 Q4 MATHEMATICS Matematika Pub Date : 2018-12-02 DOI:10.11113/MATEMATIKA.V34.N2.876
U. S. Rajput, G. Kumar
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引用次数: 2

Abstract

The present study is carried out to examine the effect of Hall current on unsteady flow of a viscous, incompressible and electrically conducting fluid past an exponentially accelerated inclined plate with variable wall temperature and mass diffusion in the presence of transversely applied uniform magnetic field. The plate temperature and the concentration level near the plate increase linearly with time. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The velocity profile is discussed with the help of graphs drawn for different parameters like thermal Grashof number, mass Grashof number, Prandtl number, Hall current parameter, acceleration parameter, the magnetic field parameter and Schmidt number, and the numerical values of skin-friction have been tabulated. It is observed that the flow pattern is affected significantly with plate acceleration, Hall current. The importance of the problem can be seen in cooling of electronic components of a nuclear reactor, bed thermal storage and heat sink in the turbine blades.
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霍尔电流对指数加速变温度质量扩散斜板非定常磁流体流动的影响
本文研究了在横向施加均匀磁场的情况下,霍尔电流对粘性、不可压缩和导电流体在变壁温和质量扩散的指数加速倾斜板上非定常流行的影响。板温和板附近浓度随时间线性增加。本分析中所涉及的控制方程采用拉普拉斯变换技术求解。通过绘制热格拉什夫数、质量格拉什夫数、普朗特数、霍尔电流参数、加速度参数、磁场参数和施密特数等参数的曲线,讨论了速度分布,并将表面摩擦数值制成表格。观察到平板加速度、霍尔电流对流型有显著影响。这个问题的重要性可以从核反应堆的电子元件冷却、床蓄热器和涡轮叶片的散热器中看出。
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
Matematika
Matematika MATHEMATICS-
自引率
25.00%
发文量
0
审稿时长
24 weeks
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