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首页> 外文期刊>International Journal of Heat and Mass Transfer >Natural convection heat transfer in a square cavity with sinusoidal roughness elements
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Natural convection heat transfer in a square cavity with sinusoidal roughness elements

机译：具有正弦粗糙度元素的方腔中自然对流换热

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摘要

Natural convection in a two-dimensional square cavity in the presence of roughness on vertical walls was studied numerically. A single relaxation time Bhatnagar-Gross and Krook (BGK) model of Lattice Boltzmann method (LBM) was utilized to solve coupled momentum and energy equations. Validation of computational algorithm was performed against benchmark solutions, and a good agreement was found. Numerical study was performed for a range of the Rayleigh number from 10~3 to 10~6 for a Newtonian fluid of the Prandtl number 1.0. The sinusoidal roughness elements were located on a hot, and both the hot and cold walls simultaneously with varying number of elements and the dimensionless amplitude. Hydrodynamic and thermal behavior of fluid in the presence of roughness was analyzed in form of isotherms, velocity streamlines, and the average heat transfer. Results based on this numerical study showed that the sinusoidal roughness considerably affect the hydrodynamic and thermal behavior of fluid in a square cavity. A dimensionless amplitude of sinusoidal roughness elements approximately equal to 0.025 has no significant effects on the average heat transfer. The maximum reduction in the average heat transfer was calculated to be 28% when the sinusoidal roughness elements were located on both the hot and cold walls simultaneously.
机译：数值研究了在垂直壁上存在粗糙度的二维方腔中的自然对流。利用莱迪思·玻尔兹曼方法（LBM）的单张弛豫时间Bhatnagar-Gross和Krook（BGK）模型来求解耦合的动量和能量方程。针对基准解决方案对计算算法进行了验证，并找到了很好的协议。对于普朗特数为1.0的牛顿流体，瑞利数在10〜3到10〜6范围内进行了数值研究。正弦粗糙度元素位于热源上，热壁和冷壁同时具有变化的元素数量和无量纲振幅。以等温线，速度流线和平均传热的形式分析了存在粗糙度时流体的流体动力学和热行为。基于此数值研究的结果表明，正弦粗糙度会极大地影响方腔中流体的流体动力和热行为。正弦粗糙度元素的无量纲振幅大约等于0.025，对平均传热没有明显影响。当正弦粗糙度元素同时位于热壁和冷壁上时，平均传热的最大减少量计算为28％。

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