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首页> 外文期刊>Journal of Heat Transfer >Lattice Boltzmann Modeling for Natural Convection in Power-Law Fluids Within a Partially Heated Square Enclosure
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Lattice Boltzmann Modeling for Natural Convection in Power-Law Fluids Within a Partially Heated Square Enclosure

机译：电力法流体在部分加热方形外壳中的自然对流模型的格子Boltzmann模型

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摘要

This paper reports the numerical investigations for steady-state natural convection in power-law fluids inside a square enclosure embedded with bottom discrete heaters. The lattice Boltzmann method (LBM) is employed to model the flow and heat transfer phenomenon at different combinations of power-law index, Rayleigh number, and heat source length for a constant Prandtl number. The buoyancy force is incorporated in the collision term of the LBM through Boussinesq approximation. Simulation outcomes are furnished using streamlines, temperature contours, velocity profiles, and variation of heat transfer on the nonadiabatic walls to probe natural convection phenomena. The results indicate that the temperature and the flow fields in the enclosure are symmetric about the vertical centerline. The detailed physical interpretations have been provided for the reported results. Further, the increase in the power-law index means a rise in viscosity and a decrease in thermal energy transport for other constant parameters. The outcomes also specify that the intensity of circulation and heat transfer enhances with the increase of Rayleigh number and size of the localized heater. Finally, though, a rise in the size of the confined heat source enhances the rate of total thermal transport, it does not change the trend of fluid flow and local heat transfer rate.
机译：本文报告了嵌入底部离散加热器的方形外壳内部电力法流体中稳态自然对流的数值调查。使用晶格Boltzmann方法（LBM）以在恒定的Prandtl号码的不同组合以不同组合的流动和传热现象模拟流动和传热现象。浮力力通过Boussinesq近似掺入LBM的碰撞项中。使用流线，温度轮廓，速度分布和非等压壁上的传热变化来提供仿真结果，以探测自然对流现象。结果表明，外壳中的温度和流场是关于垂直中心线对称的。已经为据报道的结果提供了详细的身体解释。此外，电力法指数的增加是指其他恒定参数的粘度升高和热能传输的减少。结果还指定了循环和传热强度随着典型化加热器的瑞利数和尺寸的增加而增强。然而，最后，限制热源的尺寸上升增强了总热传输的速率，它不会改变流体流动和局部传热速率的趋势。

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