卡森流体在具有热效应和辐射效应的多孔介质中的流动

I. F. Ekang, E. E. Joshua, I. Senge
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摘要

本文研究了辐射对二维非牛顿卡森流体在具有热和粘性耗散的多孔介质上的指数收缩薄片流动的影响。利用相似变换将控制型高非线性偏微分方程转化为非线性常微分方程,然后采用四阶龙格-库塔格式的射法进行数值求解。利用MATLAB软件对控制参数对速度和温度分布的影响进行了图解。结果表明:随着辐射参数和吸力参数的增大,摩擦系数和努塞尔数减小;卡森参数和吸力参数的增大导致流体的速度分布增大,流体的温度分布减小。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Casson fluid flow with heat generation and radiation effect through a porous medium of an exponentially shrinking sheet
In the paper, the effects of radiation on two dimensional non-Newtonian Casson fluid flows over an exponentially shrinking sheet through a porous medium with heat generation and viscous dissipation are investigated. The governing high nonlinear partial differential equations, with the aid of similarity transformation are converted to nonlinear ordinary differential equations and then solved numerically using a shooting method with fourth order Runge-Kutta scheme. The effects of the controlling parameters on velocity and temperature profiles are illustrated graphically using MATLAB software. The result shows that the skin-friction coefficient and Nusselt number reduces with increase in the values of the radiation and suction parameter. Also, increase in the Casson and suction parameters leads to increase in the velocity distribution of the fluid and decrease in the temperature distribution of the fluid.
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