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Natural Convection in a Spherical Porous Annulus: The Brinkman Extended Darcy Flow Model

机译:球形多孔环中的自然对流:Brinkman扩展达西流模型

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摘要

The present study reports results of a numerical investigation of natural convection in a spherical porous annulus. The inner and outer surfaces are subjected to constant temperatures. The Brinkman extended Darcy flow model is considered in this study. The problem has been solved numerically employing successive accelerated replacement scheme. The effect of parameters like Rayleigh number, Darcy number and radius ratio on the fluid flow and heat transfer has been examined. There exists a critical radius ratio (rr = 3) at which the average Nusselt number attains a peak value. The average Nusselt number decreases as the Darcy number increases.
机译:本研究报告了球形多孔环中自然对流的数值研究结果。内表面和外表面要经受恒定的温度。在这项研究中考虑了Brinkman扩展Darcy流模型。使用连续加速替换方案在数值上解决了该问题。研究了诸如瑞利数,达西数和半径比等参数对流体流动和传热的影响。存在临界半径比(rr = 3),在该临界半径比下,平均努塞尔数达到峰值。随着达西数的增加,平均努塞尔数减少。

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