滑动对Williamson纳米流体在指数收缩薄片上磁流体动力学(MHD)流动的影响

A. A. Ghoto, S. Dero, L. A. Lund, S. A. Kamboh, K. Memon, A. H. Sheikh
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引用次数: 0

摘要

本文研究了威廉姆森纳米流体的速度、热和浓度滑移边界条件对磁流体动力学(MHD)流动、传热和收缩表面传质的影响。在没有热和焦耳加热的情况下,考虑磁流体动力学流动。利用适当的相似变换,将边界层的偏微分方程转化为常微分方程。为了得到所要求的解,在maple编程中采用了一种有效的龙格-库塔四阶技术和射击法。为了检验方法的精度,我们将结果与已发表的文献进行了比较,结果非常吻合。对哈特曼数、施密特数、热泳动、布朗运动参数等众多流动相关参数的数值,以表格和图形的形式给出了数值解。此外,还对具有滑移边界条件的非牛顿Williamson参数、Prandtl数、Schmidt数和吸力参数等参数进行了图解检验。最后,根据表格和图表,将问题的结果组成结论。
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Slip effects on Magnetohydrodynamic (MHD) flow of Williamson Nanofluid over an Exponentially Shrinking Sheet
In present study the impacts of velocity, thermal and concentration slip boundary conditions of the Williamson nanofluidon the Magnetohydrodynamic (MHD) flow, heat and the mass transfer over a shrinking surface are considered. The magnetohydrodynamic flow is considered in absence of thermal and Joule heating. Using of appropriate similarity transformations, the partial differential equations of the boundary layer have been converted into the ordinary differential equations. To get the required solutions, an efficient Runge-Kutta 4th order technique with shooting method has been utilized in maple programming. In order to check the method precision, we compare our results with published literature and observed to be in excellent agreement. Numerically Gotten solutions have been displayed in form of tables and graphs for a numerous values of flow pertinent parameters, such as, Hartmann number, Schmidt number, thermophoresis and Brownian motion parameter. Furthermore, many other parameters like of non-Newtonian Williamson parameter with slip boundary condition, Prandtl number, Schmidt number and suction parameter have been examined graphically. At long last, the result of the problem is composed as a conclusion in light of the tables and plotted graphs.
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