Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-08-18 DOI:10.1515/ijnsns-2021-0073

R. Chaabane, L. Kolsi, A. Jemni, A. D'Orazio

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Abstract

Abstract This study numerically investigates the two-dimensional natural convection in a square enclosure with an isothermal diamond elliptic array at Rayleigh numbers of 104 ≤ Ra ≤ 107. Three cases are considered, i.e., case 1 where two pairs of circular heating bodies are used inside the cavity, one is placed on the vertical centerline (VC) of the cavity and the other on the horizontal centerline (HC), case 2 where one pair of horizontal elliptic heating bodies is placed on the VC of the cavity and the other on the HC and case 3 where the horizontal elliptic heating bodies are replaced by vertical elliptic heating bodies. Numerical simulation was carried out based on the mesoscopic approach (LBM). The effects of the horizontally and vertically heated arrays were investigated. We demonstrate that, only when the Rayleigh number increases to Ra = 107, the numerical solutions reach an unsteady state for all cases. The transition of the flow regime from the unsteady state to the steady state depends on the variation in the ratio of the elliptical cylinder.

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菱形椭圆阵列空腔内浮力驱动的流动特性

摘要本研究数值研究了瑞利数为104≤Ra≤107时，具有等温菱形椭圆阵列的方形外壳中的二维自然对流。考虑了三种情况，即情况1，其中在空腔内使用两对圆形加热体，一对放置在空腔的垂直中心线（VC）上，另一对放置于水平中心线（HC）上，其中一对水平椭圆形加热体放置在空腔的VC上而另一对放置在HC上的情况2，以及其中水平椭圆形加热主体被垂直椭圆形加热体代替的情况3。基于细观方法进行了数值模拟。研究了水平和垂直加热阵列的影响。我们证明，只有当瑞利数增加到Ra=107时，数值解才能在所有情况下达到非定常状态。流态从非定常状态到稳态的转变取决于椭圆圆柱体比率的变化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.