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Effect of Hall current on the MHD laminar natural convection flow from a vertical permeable flat plate with uniform surface temperature

机译:霍尔电流对表面温度均匀的垂直渗透平板MHD层流自然对流的影响

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摘要

The effect of Hall current on the steady, laminar, natural convection boundary layer flow of MHD viscous and incompressible fluid from a semi-infinite heated permeable vertical flat plate with an applied magnetic field transverse to it has been investigated, assuming that the induced magnetic field is negligible compared to the imposed magnetic field. With appropriate transformations the boundary layer equations are reduced to local nonsimilarity equations and the solutions are obtained employing four distinct methods, namely, (i) regular perturbation method for small transpiration parameter; (ii) asymptotic solutions for large transpiration rate; (iii) implicit finite difference method together with Keller-box scheme and the (iv) local nonsimilarity method for any transpiration rate. Effects of the magnetic field, M, and the Hall parameter, m, on the local skin friction and local rate of heat transfer groups are shown graphically for smaller values of the Prandtl number, Pr(= 0.1,0.01), that represent liquid metals.
机译:假设感应磁场对霍尔电流对半无限热渗透垂直平板的MHD粘性和不可压缩流体的稳态,层流,自然对流边界层流动的影响,该平板垂直于施加磁场的方向与施加的磁场相比可以忽略不计。通过适当的变换,将边界层方程简化为局部非相似方程,并使用四种不同的方法获得了解,即:(i)小蒸发参数的常规扰动方法; (ii)大蒸腾速率的渐近解; (iii)隐式有限差分方法与Keller-box方案以及(iv)局部非相似性方法对任何蒸腾速率的结合。对于代表液态金属的较小的Prandtl值Pr(= 0.1,0.01),以图形方式显示了磁场M和霍尔参数m对局部皮肤摩擦和局部传热基团的影响。 。

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