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Finite element simulation of magnetohydrodynamic convective nanofluid slip flow in porous media with nonlinear radiation

机译:非线性辐射的多孔介质中磁流体动力对流纳米流体滑流的有限元模拟

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摘要

A numerical investigation of two dimensional steady state laminar boundary layer flow\udof a viscous electrically-conducting nanofluid in the vicinity of a stretching/shrinking porous flat\udplate located in a Darcian porous medium is performed. The nonlinear Rosseland radiation effect\udis taken into account. Velocity slip and thermal slip at the boundary as well as the newly developed\udzero mass flux boundary conditions are also implemented to achieve physically applicable results.\udThe governing transport equations are reduced to a system of nonlinear ordinary differential equations\udusing appropriate similarity transformations and these are then solved numerically using a\udvariational finite element method (FEM). The influence of the governing parameters (Darcy number,\udmagnetic field, velocity and thermal slip, temperature ratio, transpiration, Brownian motion,\udthermophoresis, Lewis number and Reynolds number) on the dimensionless velocity, temperature,\udnanoparticle volume fraction as well as the skin friction, the heat transfer rates and the mass transfer\udrates are examined and illustrated in detail. The FEM code is validated with earlier studies for\udnon-magnetic non-slip flow demonstrating close correlation. The present study is relevant to hightemperature\udnano-materials processing operations.
机译:对位于Darcian多孔介质中的拉伸/收缩多孔平板/ udplate附近的粘性导电纳米流体的二维稳态层流边界层流ud进行了数值研究。考虑了非线性Rosseland辐射效应。还实现了边界处的速度滑移和热滑移,以及新开发的\ udzero质量通量边界条件,以实现物理上可应用的结果。\ ud控制输运方程简化为非线性常微分方程组\,并采用适当的相似变换和然后使用\变分有限元方法(FEM)对其进行数值求解。控制参数(达西数,\超磁场,速度和热滑移,温度比,蒸腾作用,布朗运动,\紫外泳,路易斯数和雷诺数)对无量纲速度,温度,\纳米粒子体积分数以及检查并详细说明了皮肤摩擦,传热速率和传质速率。该FEM代码已通过较早的研究验证了\ udnon-磁性防滑流,表明紧密相关。本研究与高温\ udnano材料加工操作有关。

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