In this finite element analysis of natural convection, cooling of a heat source embedded with a wavy porous cavity containing an insulated obstacle is investigated. A heat source is submitted to the left vertical wall, and the wavy right vertical wall is kept at fixed low temperature keeping top and bottom walls as insulated. The insulated obstacle which is placed inside the cavity is either square or circular in shape. The non-dimensional governing equations are solved by Galerkin finite element method and the results are presented in terms of streamlines and isotherms. The parameters considered for the investigation are Rayleigh-Darcy number ($Ra=10,{10}^2,{10}^3$), amplitude of the wavy wall $(a=0.05,0.15,0.25)$, undulation of wavy wall per unit length (N = 3) and shape of the obstacle. From the obtained results, mathematical correlations to calculate the maximum temperature of the heater and average Nusselt number with governing parameters are presented, and it is observed that the presence of a square insulated body reduces the convection process over a circular body; also, for a fixed Ra, the effect of obstacle at a particular portion of the cavity falls off with increment in a.

在自然对流的有限元分析中，研究了嵌入有包含隔热障碍物的波浪形多孔腔的热源的冷却。热源被施加到左垂直壁，并且波浪形的右垂直壁被保持在固定的低温下，从而使顶壁和底壁保持绝缘。放置在腔体内的绝缘障碍物为正方形或圆形。用Galerkin有限元方法求解无量纲控制方程，并以流线和等温线表示结果。考虑进行调查的参数是瑞利-达西数（$\mathrm{[R}\mathrm{一种}=10，{10}^{\mathrm{2个}}，{10}^3$），波浪墙的振幅 $（\mathrm{一种}=0.05，0.15，0.25）$，每单位长度的波浪壁起伏（N  = 3）和障碍物的形状。根据获得的结果，给出了计算加热器的最高温度和平均Nusselt数与控制参数的数学相关性，并且观察到方形绝缘体的存在减少了圆形体上的对流过程；同样，对于固定的Ra，在腔的特定部分的障碍物的影响会随着a的增加而减小。