This paper analyzes the interaction of high Rayleigh number flow with conjugate heat transfer. The two-relaxation time lattice Boltzmann is used as a turbulent buoyancy-driven flow solver whereas the implicit finite difference technique is applied as a heat transfer solver. An in-house numerical code is developed and successfully validated on typical CFD problems. The impact of the Biot number, heat diffusivity ratio and the Rayleigh number on turbulent fluid flow and heat transfer patterns is studied. It is revealed that the thermally-conductive walls of finite thickness reduce the heat transfer rate. The temperature of the cooled wall slightly depends on the value of the buoyancy force. The heat diffusivity ratio has a significant effect on thermal and flow behavior. The Biot number significantly affects the mean Nusselt number at the right solid–fluid interface whereas the mean Nusselt number at the left interface is almost insensible to the Biot number variation.

中文翻译：

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具有导热壁的外壳中湍流自然对流的混合模拟

本文分析了高瑞利数流与共轭传热的相互作用。双松弛时间格子玻尔兹曼用作湍流浮力驱动流动求解器，而隐式有限差分技术用作传热求解器。针对典型 CFD 问题开发并成功验证了内部数字代码。研究了Biot数、热扩散率比和Rayleigh数对湍流流体流动和传热模式的影响。结果表明，有限厚度的导热壁降低了传热率。冷却壁的温度稍微取决于浮力的值。热扩散率对热和流动行为有显着影响。