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首页> 外文期刊>Journal of Advanced Mechanical Engineering >Steady MHD Boundary-layer Slip Flow and Heat Transfer of Nanofluid over a Convectively Heated of a Non-linear Permeable Sheet
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Steady MHD Boundary-layer Slip Flow and Heat Transfer of Nanofluid over a Convectively Heated of a Non-linear Permeable Sheet

机译：非线性渗透性膜对流加热时纳米流体的稳定MHD边界层滑移和传热

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摘要

The present study investigates the theoretical analysis on steady viscous incompressible MHD laminar boundary-layer flow and heat transfer of an electrically conducting nanofluid over a convectively heated non-linear permeable sheet with partial slip using homotopy analysis method. The present model used for the nanofluid incorporates the combined effects of magnetic field, partial slip, Biot number, suction/injection, non-linear parameter, Brownian motion, and thermophoresis. We use local similarities variable, the governing equations which are nonlinear partial differential equations was transformed into a system couple of nonlinear ordinary differential equation, which are solved semi-analytical by using homotopy analysis method. Graphically results obtained for the velocity, temperature, and nanoparticle concentration profiles are displayed for various values of the existing parameters controlling the fluid flow: Slip parameter ??, Magnetic field ??, Biot number ????, suction/injection parameter ??, Brownian motion parameter ????, and thermophoresis parameter ????. It was found that the Biot number increase the dimensionless temperature profile. Numerical results obtained are compared with the previous published results found on literatures are in good agreement and are discussed quantitatively.
机译：本研究利用同伦分析方法研究了对流加热的具有部分滑移的非线性渗透性片材上稳定的粘性不可压缩的MHD层流边界层流和导电纳米流体在部分对流加热中的传热的理论分析。用于纳米流体的当前模型结合了磁场，部分滑移，比奥数，吸力/注射量，非线性参数，布朗运动和热泳的综合作用。利用局部相似变量，将非线性偏微分方程的控制方程转化为非线性常微分方程的系统对，并通过同伦分析法进行半解析解。对于控制流体流动的现有参数的各种值，显示了速度，温度和纳米颗粒浓度曲线的图形结果，显示了滑移参数，磁场，比奥数，吸力/喷射参数。 ，布朗运动参数????和热泳参数????。发现比奥数增加了无因次温度曲线。将获得的数值结果与文献中先前发表的结果进行比较，结果吻合良好，并进行了定量讨论。

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