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
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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DOI：
10.1016/j.amc.2012.07.002
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发表时间：
2012-10
期刊：
影响因子：
--
通讯作者：
Rajesh Sharma
中科院分区：
文献类型：
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作者：
Rajesh Sharma
本文研究了多孔介质中有粘性耗散和内部吸热或生热的拉伸薄板上粘性流体流动的非稳态传热特性。横向于流动方向施加均匀磁场。利用相似变换将非线性边界层方程转化为非线性常微分方程组，并采用无网格Galerkin法进行数值求解。给出了抽吸参数λ、非定常参数S、Eckert数Ec、局部多孔参数β和热源/热汇参数Q对速度和温度分布的影响。物理参数对表面摩擦系数和壁面温度梯度的影响以表格形式显示。部分结果与有限元法进行了比较。最后，利用Grubka、Bobba和Chen早期关于线性拉伸表面上强迫对流的局部努塞尔数NuxRex-1/2=-θ '（0）的稳态结果，对本数值结果进行了很好的验证。
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 NuxRex-1/2=-θ′(0) for forced convection flow on linearly stretching surface.