Abstract This numerical study of natural convection represents cooling of a heat source embedded in a wavy cavity. The right side wall, which is wavy, kept at a fixed ambient temperature where as partial heat source with constant heat flux is placed at the right wall and other walls are kept adiabatic. The non-dimensional governing equations which describe the flow pattern are solved by finite difference method of second order accurate. The pertinent parameters under consideration are non-dimensional length (0.25 ≤ e ≤ 1.0) of heater placed at the middle of the left vertical wall, effective Rayleigh-Darcy number (10 ≤ Ra ≤ 103) and the waviness of the right vertical wall, which is controlled by the amplitude (0.05 ≤ a ≤ 0.25) of the wave and number of undulation (1 ≤ N ≤ 5) per unit length. From the obtained results, it is observed that convection inside the wavy cavity filled with fluid structured porous media depend on e only at high Ra also strong convection inside the cavity is observed when surface roughness gets increases.

中文翻译：

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受局部热源影响的波浪形多孔腔中的自然对流

摘要 这项自然对流的数值研究代表了嵌入波浪形腔中的热源的冷却。波浪形的右侧壁保持在固定的环境温度，其中作为具有恒定热通量的局部热源放置在右侧壁上，其他壁保持绝热。描述流型的无量纲控制方程采用二阶精确有限差分法求解。正在考虑的相关参数是放置在左侧垂直壁中间的加热器的无量纲长度 (0.25 ≤ e ≤ 1.0)、有效瑞利-达西数 (10 ≤ Ra ≤ 103) 和右侧垂直壁的波纹度，由波幅（0.05 ≤ a ≤ 0.25）和单位长度的起伏数（1 ≤ N ≤ 5）控制。从得到的结果来看，