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Double-diffusive natural convection in an inclined enclosure with heat generation and Soret effect

机译：具有热量产生和索雷特效应的倾斜罩中的双扩散自然对流

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Purpose - The purpose of this paper is to study numerically thermosolutal natural convection within an inclined rectangular cavity in the presence of Soret effect and heat generation. The enclosure is heated and salted from its long sides with constant but different temperatures and concentrations. The study focuses on the effects of three main parameters which are, the Soret parameter (Sr=0 and -0.5), the internal to external Rayleigh numbers ratio 0 = R = 80 and the cavity inclination gamma, varied from 0 degrees (vertical position) to 60 degrees. The combined effects of these parameters on fluid flow and heat and mass transfer characteristics are examined for the external Rayleigh number Ra-E=10(5), the Prandtl number Pr=0.71, the buoyancy ratio N=1, the Lewis number Le=2 and the aspect ratio of the cavity A =2.Design/methodology/approach - A hybrid lattice Boltzmann-finite difference method (LBM-FD) was used to tackle the problem under consideration. The LBM with the simple relaxation time was used for the fluid flow in the presence of the gravity force, while the temperature and concentration equations were solved separately using an explicit finite-difference technique at the Boltzmann scale.Findings - The monocellular nature of the flow, obtained for R=0 is not destroyed by varying the cavity inclination and the Soret parameter but rather by the increase of the parameter R. The Soret parameter and the cavity inclination become perceptible at high values of R. The inclination gamma=60 degrees leads to high mean temperatures compared to the other inclinations. The effect of R on mean concentration is amplified in the presence of Soret effect but limited in the absence of the latter. The negative Soret parameter combined with high internal heat generation and a relatively high inclination is important when the objective is to maintain the fluid at a high concentration of species. The presence of bicellular flow combined with the important elevation undergone by the fluid temperature, makes both the cold and hot walls playing a cooling role with the most important exchanges taking place at the upper part of these walls. The analysis of the mean mass transfer shows that the increase of the inclination may lead to an increase or a decrease of the mass transfer depending on the range of R, in the case of Sr=0. However, for Sr= -0.5, it is observed that the increase of gamma is generally accompanied by a reduction of the mass transfer.Originality/value - To the best of the authors' knowledge, the hybrid LBM-FD was not used before to study such a problem. Combined effect of R and inclination may be useful in charging the fluid with species when the objective is to maintain high concentrations in the medium.
机译：目的-本文的目的是对存在Soret效应和热量产生的倾斜矩形腔内的热固自然对流进行数值研究。外壳从长边以恒定但不同的温度和浓度加热和盐化。该研究集中在三个主要参数的影响上，即Soret参数（Sr = 0和-0.5），内部与外部瑞利数比0 <= R <= 80和腔体倾斜度γ（从0度变化）（垂直位置）到60度。对于外部瑞利数Ra-E = 10（5），普朗特数Pr = 0.71，浮力比N = 1，刘易斯数Le =，检查了这些参数对流体流动以及传热和传质特性的综合影响。 2，腔的长宽比A =2。设计/方法/方法-混合格子Boltzmann有限差分法（LBM-FD）用于解决所考虑的问题。在重力作用下，具有简单松弛时间的LBM用于流体流动，而温度和浓度方程式则使用显式有限差分技术分别在Boltzmann尺度上求解。对于R = 0所获得的，不会通过改变腔体倾角和Soret参数而破坏，而是通过增加参数R来破坏。在高R值下，Soret参数和腔体倾角变得可察觉。倾角gamma = 60度导致与其他倾向相比，平均温度更高。在存在Soret效应的情况下，R对平均浓度的作用被放大，但是在没有Soret效应的情况下受到限制。当目标是将流体保持在高浓度物质时，负的Soret参数与较高的内部热量产生和较高的倾斜度相结合就很重要。双细胞流动的存在与流体温度所经历的重要升高相结合，使得冷壁和热壁均起冷却作用，最重要的交换发生在这些壁的上部。对平均传质的分析表明，在Sr = 0的情况下，取决于R的范围，倾斜度的增加可能导致传质的增加或减少。但是，对于Sr = -0.5，可以观察到γ的增加通常伴随着传质的减少。原始数据/值-据作者所知，之前没有使用混合LBM-FD研究这样的问题。当目标是保持介质中的高浓度时，R和倾斜度的组合作用可能有助于在流体中注入物质。

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