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首页> 外文期刊>Journal of King Saud University >Parabolic curve fitting study subject to Joule heating in MHD thermally stratified mixed convection stagnation point flow of Eyring-Powell fluid induced by an inclined cylindrical surface
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Parabolic curve fitting study subject to Joule heating in MHD thermally stratified mixed convection stagnation point flow of Eyring-Powell fluid induced by an inclined cylindrical surface

机译:斜圆柱面引起的Eyring-Powell流体在MHD热分层混合对流滞止点流中受焦耳热的抛物线拟合研究

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摘要

The current analysis is carried out to envision the properties of magneto-hydrodynamic boundary layer stagnation point flow of Eyring-Powell (non-Newtonian) fluid induced by an inclined stretching cylindrical surface in the presence of both mixed convection and Joule heating effects. Flow analysis is manifested with temperature stratification phenomena. The strength of temperature adjacent to the cylindrical surface is assumed to be higher in strength as compared to the ambient fluid. A suitable similarity transformations are utilized to convert the flow conducting equations (mathematically modelled) into system of coupled non-linear ordinary differential equations. A fifth order Runge-Kutta algorithm charted with shooting scheme is used to trace out the numerical additions. It was found that the velocity profile is an increasing function of both mixed convection and curvature parameters. Temperature profile show inciting nature towards Eckert number. In addition, a straight line and parabolic curve fitting way of study is executed to inspect the effect logs of mixed convection parameter, magnetic field parameter, thermal stratification parameter and heat generation parameter on skin friction coefficient and heat rate. It seems to be first attempt in this direction and will serve as a facilitating source for the preceding studies regarding fluid rheology.
机译:进行当前分析是为了设想在混合对流和焦耳热效应的共同作用下,倾斜的拉伸圆柱面引起的Eyring-Powell(非牛顿)流体的磁流体动力边界层停滞点流的特性。流动分析表现为温度分层现象。假定与环境流体相比,圆柱表面附近的温度强度更高。利用合适的相似性变换将(数学建模的)流动传导方程式转换为耦合的非线性常微分方程式的系统。用射击方案绘制的五阶Runge-Kutta算法用于找出数值加法。发现速度分布是混合对流和曲率参数的增加函数。温度曲线显示出对埃克特数的煽动性质。另外,采用直线和抛物线拟合的研究方法,考察混合对流参数,磁场参数,热分层参数和生热参数对皮肤摩擦系数和热量的影响曲线。这似乎是朝这个方向的第一次尝试,并且将为先前有关流体流变学的研究提供便利。

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