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首页> 外文期刊>Heat Transfer Research >LATTICE BOLTZMANN SIMULATION OF NATURAL CONVECTION IN CUBICAL ENCLOSURES FOR THE BINGHAM PLASTIC FLUID
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LATTICE BOLTZMANN SIMULATION OF NATURAL CONVECTION IN CUBICAL ENCLOSURES FOR THE BINGHAM PLASTIC FLUID

机译：宾果塑料液中立方围栏自然对流的格子玻璃板模拟

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摘要

The purpose of this work is the study of the hydrodynamic and thermal characteristics of a Bingham plastic fluid contained in a differentially heated cubic cavity, at the center of which a cube-shaped obstacle has been placed. The effect of some parameters in this kind of configuration, such as the Rayleigh number Ra, Bingham number Bn, and the obstacle size e in the cavity, are very important in heat exchange. The study consists in analyzing those parameters at a fixed value of the Prandtl number Pr = 10, while Ra, Bn, and e vary in the ranges 10(+3)-10(+6), 0-20, and 0-0.75, respectively. In order to resolve the dynamic governing equations, we use the multiple relaxation time scheme of the lattice Boltzmann method (LBM/MRT) incorporating the Papanastasiou exponential modification approach. The Finite Difference Method (FDM) is used for the energy equation discretization. The obtained results show that the buoyancy intensity leads to considerable modifications on streamlines and isotherms. Concerning the influence of the viscoplasticity of the Bingham fluid, we note a diminution of central cells and a modification of the Nusselt number evolution due to the increase of the Bingham number. The growth of the obstacle size was found to decrease the heat transfer rate. This diminution is proportional to the growth of the Bingham number.
机译：本作作品的目的是研究横向塑料流体的流体动力和热特性，其在差动的立方体腔中，该中心在其中心被放置了立方体形状的障碍物。在这种配置中的一些参数的影响，例如瑞利数Ra，Bingham数Bn和腔中的障碍物尺寸E在热交换中非常重要。该研究包括在Prandtl号PR = 10的固定值下分析这些参数，而RA，BN和E在范围内的范围内（+3）-10（+6），0-20和0-0.75 ， 分别。为了解决动态控制方程，我们使用晶格Boltzmann方法（LBM / MRT）的多个弛豫时间方案，其中包含Papanastasiou指数修改方法。有限差分法（FDM）用于能量方程离散化。所得结果表明，浮力强度导致流线和等温线的相当大的修改。关于弯曲液体粘膜性的影响，我们注意到中央电池的减少和由于宾厄姆数量的增加而导致的营养数进化的修改。发现障碍物尺寸的生长降低了传热速率。这种倍率与弯曲数量的增长成比例。

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