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Magnetic field effect on the unsteady free convection flow in a square cavity filled with a porous medium with a constant heat generation

机译:磁场对填充有恒定热量的多孔介质的方腔中非定常自由对流的影响

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The effects of an inclined magnetic field and heat generation on unsteady free convection within a square cavity filled with a fluid-saturated porous medium have been investigated numerically. The top and bottom horizontal walls of the enclosure are adiabatic whereas the vertical walls are kept at constant but different temperatures. The physical problems are represented mathematically by a set of partial differential equations along with the corresponding boundary conditions. By using an implicit finite-difference scheme, namely the ADI method (Alternative Direction Implicit), the non-dimensional governing equations are numerically solved. The influential parameters are the Rayleigh number Ra, the inclination angle γ of the magnetic field relative to the gravity vector g, the Hartmann number Ha and the heat generation parameter Q. In the present study, the obtained results are presented in terms of streamlines, isotherms and average Nusselt number along the hot wall. The result shows that with increasing Ha, the diffusive heat transfer become prominent even though the Rayleigh number increases.
机译:数值研究了倾斜磁场和热量产生对充满流体饱和多孔介质的方腔内非定常自由对流的影响。外壳的顶部和底部水平壁是绝热的,而垂直壁则保持恒定但温度不同。物理问题由一组偏微分方程以及相应的边界条件数学表示。通过使用隐式有限差分方案,即ADI方法(Alternative Direction Implicit),可以对无量纲控制方程进行数值求解。影响参数为瑞利数Ra,磁场相对于重力矢量g的倾斜角γ,哈特曼数Ha和生热参数Q。在本研究中,获得的结果以流线表示,等温线和沿热壁的平均努塞尔数。结果表明,随着Ha的增加,即使瑞利数增加,扩散传热也变得明显。

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