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首页> 外文期刊>Applied mathematics and computation >Effect of viscous dissipation and heat source on unsteady boundary layer flow and heat transfer past a stretching surface embedded in a porous medium using element free Galerkin method
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Effect of viscous dissipation and heat source on unsteady boundary layer flow and heat transfer past a stretching surface embedded in a porous medium using element free Galerkin method

机译：粘滞耗散和热源对无定形边界层流动和传热的影响，该过程采用无元素Galerkin方法经过嵌入在多孔介质中的拉伸表面

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摘要

The present paper deals with the study of unsteady heat transfer characteristics of viscous fluid flow over a stretching sheet placed in a porous medium in the presence of viscous dissipation and internal heat absorption or generation have been examined. A uniform magnetic field is applied transversely to the direction of the flow. Similarity transformations are used to convert the governing time dependent nonlinear boundary layer equations into a system of non-linear ordinary differential equations which are solved numerically by element free Galerkin method. The influence of suction parameter (λ), unsteady parameter (S), Eckert number (Ec), local porous parameter (β) and heat source/sink parameter (Q) on the velocity and temperature profiles are shown graphically. The impact of physical parameters on skin friction coefficient and wall temperature gradient is shown in tabulated form. Some of the results have been compared with finite element method. Finally, excellent validation of the present numerical results has been achieved with the earlier steady state results of Grubka and Bobba and Chen for local Nusselt number Nu _xRe)x ~(-1/2)= -θ'(0) for forced convection flow on linearly stretching surface.
机译：本文研究粘性流体在粘性耗散存在下流过放置在多孔介质中的拉伸片材上的粘性流体的非稳态传热特性，并研究了内部吸热或产生热量。横向于流动方向施加均匀的磁场。使用相似变换将控制时间相关的非线性边界层方程式转换为非线性常微分方程组，该方程组可通过无元素Galerkin方法数值求解。以图形方式显示了吸力参数（λ），非稳态参数（S），埃克特数（Ec），局部多孔参数（β）和热源/散热器参数（Q）对速度和温度分布的影响。物理参数对皮肤摩擦系数和壁温梯度的影响以表格形式显示。一些结果已经与有限元方法进行了比较。最后，对于局部对流努斯数Nu _xRe）x〜（-1/2）=-θ'（0）的强迫对流，Grubka和Bobba和Chen的较早稳态结果已经获得了对当前数值结果的出色验证。在线性拉伸表面上。

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