In this investigation, numerical analysis was performed on the zero nanoparticle flux (ZNF) effect on natural convection in a cylinder with an elliptical cross section embedded in Darcy porous media filled with a nanofluid. The boundary conditions of the cylinder with the elliptical cross section were maintained at uniform wall temperature and ZNF to ensure that the results obtained were realistic and useful. The model adopted for the nanofluid incorporated the effects of Brownian motion and thermophoresis. The non-similar governing equations were obtained by using an appropriate coordinate transformation, and then solved by the Keller box method. Comparisons with previously published work showed good agreement. Numerical data for the dimensionless temperature profiles and Nusselt numbers are presented in graphical and tabular forms for the eccentric angle (B), buoyancy ratio (Nr = 0.4), Brownian motion parameter (Nb = 0.3), thermophoresis parameter (Nt), and the Lewis number (Le). Increasing the thermophoresis parameter and the Lewis number decreased the Nusselt number. For blunt orientation, the Nusselt number first increased with increasing eccentric angle, reached a maximum, and then decreased to zero. For slender orientation, the Nusselt number decreased monotonically. The Nusselt number in the blunt configuration initially increased with an increase in the aspect ratio, attained a maximum, and then gradually decreased. For the slender configuration, the Nusselt number decreased. In this paper, the results of the investigated physical aspects of the problem are discussed in detail.

中文翻译：

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纳米流体填充多孔介质中椭圆截面的零对空纳米粒子通量对自然对流的影响

在这项研究中，对椭圆形圆柱体中的自然对流的零纳米粒子通量（ZNF）效应进行了数值分析，该圆柱体的椭圆形横截面嵌入了填充有纳米流体的Darcy多孔介质中。具有椭圆形横截面的圆柱的边界条件保持在均匀的壁温和ZNF下，以确保获得的结果是现实的和有用的。用于纳米流体的模型结合了布朗运动和热泳的影响。通过适当的坐标变换获得非相似的控制方程，然后通过凯勒盒法求解。与先前发表的作品进行比较显示出很好的一致性。B），浮力比（Nr = 0.4），布朗运动参数（Nb = 0.3），热泳参数（Nt）和路易斯数（Le）。增加热泳参数和路易斯数会降低努塞尔数。对于钝的定向，Nusselt数首先随着偏心角的增加而增加，达到最大值，然后减小为零。对于细长的方向，Nusselt数单调减少。钝态的努塞尔数最初随着长宽比的增加而增加，达到最大值，然后逐渐减小。对于细长的配置，Nusselt数减少。在本文中，将详细讨论该问题的调查物理方面的结果。