Imposing the magnetic field and dispersion of nanopowders have been discussed in this paper to provide the opportunity for control the fluid movement. The second law components were analyzed and Bejan number was calculated. Outcomes illustrated that augmenting permeability allows improving the nanopowder movement and thinner boundary layer provides denser isotherm which results in greater Nu and lower Be. Growth of Ra characteristics leads to stronger buoyancy forces which boost the convection transportation and stronger circulation results in greater Nu. In addition, the share of [Formula: see text] reduces with reduction of boundary layer thickness, so, Be has reverse relation with both permeability and Ra. An increment of Ha results in thicker boundary layer and isotherms become parallel and the convection weakens. So, Nu declines with growth of Ha and an opposite trend was calculated for Be. Reduction impact of Da on Be is negligible when Ra has the lowest value.

中文翻译：

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通过可渗透外壳的 MHD 混合纳米流体流动建模

本文讨论了施加磁场和纳米粉末的分散性，以提供控制流体运动的机会。分析了第二定律分量并计算了 Bejan 数。结果表明，增加渗透性可以改善纳米粉末的运动，更薄的边界层提供更密集的等温线，从而导致更大的 Nu 和更低的 Be。Ra 特性的增长导致更强的浮力，从而促进对流传输，更强的环流导致更大的 Nu。此外，[公式：见正文]的份额随着边界层厚度的减小而减小，因此，Be与渗透率和Ra均呈反比关系。Ha 的增加导致边界层变厚，等温线变得平行，对流减弱。所以，Nu 随 Ha 的增长而下降，计算 Be 的趋势相反。当 Ra 具有最低值时，Da 对 Be 的还原影响可以忽略不计。