Mass Transfer Effects on Mixed Convective MHD Flow of Second Grade Fluid Past a Vertical Infinite Plate with Viscous Dissipation and Joule Heating

B. Swain, R. Barik
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Abstract

An attempt is made to study an unsteady, two-dimensional, laminar, mixed convective Magnetohydrodynamic (MHD) flow of an incompressible visco-elastic fluid (Waltersfluid model) past an infinite vertical plate. The reduced governing equations are solved analytically using two-term harmonic and non-harmonic functions. The effects of different pertinent parameters are discussed with the help of graphs and tables. The novelty of the present study is to account for the effects of viscous and joules dissipative heat and a linear first-order chemical reaction of diffusive species and mixed convective flow phenomena on an infinite vertical plate subjected to time-dependent suction velocity and a transverse magnetic field acting at a distance. The important findings reported herein are: increasing values of chemical reaction parameter cause low velocity and concentration, a decline in concentration profile is seen for the higher values of Schmidt number, Prandtl number contributes to more active convection. The application of the present study may be seen in combustion systems, nuclear reactors, and chemical processes. Before concluding the considered problem, our results are validated with previous results and are found to be in good agreement.
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粘性耗散和焦耳加热条件下二阶流体通过垂直无限大板混合对流MHD流动的传质效应
试图研究不可压缩粘弹性流体(walters流体模型)通过无限垂直板的非定常、二维、层流、混合对流磁流体动力学(MHD)流动。利用两项调和函数和非调和函数对简化后的控制方程进行解析求解。利用图表讨论了不同相关参数的影响。本研究的新颖之处在于考虑了粘性和焦耳耗散热的影响,以及扩散物质的线性一阶化学反应和混合对流现象在无限垂直板上受到随时间的吸力速度和作用于一定距离的横向磁场的影响。本文报告的重要发现是:化学反应参数值的增大导致速度和浓度降低,Schmidt数值越高,浓度分布越下降,Prandtl数值越高,对流越活跃。本研究的应用可以在燃烧系统、核反应堆和化学过程中看到。在总结所考虑的问题之前,我们的结果与先前的结果进行了验证,并发现它们非常一致。
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