滑移边界对二维Rayleigh-Bénard热对流流态和传热特性的影响

doi:10.19596/j.cnki.1001-246x.7923

计算物理 ›› 2019, Vol. 36 ›› Issue (5): 542-550.DOI: 10.19596/j.cnki.1001-246x.7923

滑移边界对二维Rayleigh-Bénard热对流流态和传热特性的影响

何鹏, 包芸

中山大学航空航天学院, 广东广州 510275

收稿日期:2018-07-09 修回日期:2018-11-05 出版日期:2019-09-25 发布日期:2019-09-25
通讯作者: 包芸,E-mail:stsby@mail.sysu.edu.cn
作者简介:何鹏(1994-),男,硕士,研究方向为计算流体力学等
基金资助:
国家自然科学基金（11772362，11452002）资助项目

Effect of Free-slip Boundaries on Flow and Heat Transport Characteristics in Two-dimensional Rayleigh-Bénard Convection

HE Peng, BAO Yun

Department of Applied Mechanics and Engineering, Sun Yat-Sen University, Guangzhou Guangdong 510275, China

Received:2018-07-09 Revised:2018-11-05 Online:2019-09-25 Published:2019-09-25

摘要/Abstract

摘要： 采用并行直接数值模拟（PDM-DNS）计算无滑移和滑移边界二维Rayleigh-Bénard热对流.与无滑移边界形成的随机羽流运动的湍流热对流不同，滑移边界热对流最终形成湍流特征消失，且温度仅分布于四壁的一个大尺度环流的流动形态.平均场近底板的温度分布特性，无滑移边界逐渐变化而滑移边界出现过冲现象.宽高比Γ=1时，Nusselt数（Nu）随Rayleigh数（Ra）的变化具有相同标度指数，Nu~Ra^0.3.滑移边界热对流具有传热增强作用.滑移边界热对流Nu随Γ变化明显，并分为两个阶段，在Γ=0.5时出现Nu_max≈250，是无滑移边界热流Nu的5倍.

关键词: Rayleigh-Bénard热对流, 滑移边界, 大尺度环流, 传热增强, PDM-DNS

Abstract: Temperature fields in two-dimensional (2D) Rayleigh-Bénard (RB) convection with no-slip and free-slip walls were simulated with parallel direct method of direct numerical simulation (PDM-DNS) at different Rayleigh numbers (Ra) and aspect ratio numbers (Γ). Different from no-slip boundary thermal convection with random plume, free-slip boundary thermal convection eventually forms a large-scale circulation without turbulent features and temperature distributes only on four walls. Temperature distribution characteristics of time-average field near floor changes gradually for no-slip boundary but overshoot occurs for free-slip boundary. Dependences of Nusselt numbers (Nu) with Ra at Γ=1 have same scale index Nu~Ra^0.3. Free-slip boundary thermal convection enhances heat transfer. Changes of Nu with Γ are obvious in free-slip boundary thermal convection. They are in two stages. At Γ=0.5, Nu_max≈250, it is five times of Nu in no-slip boundary thermal convection.

Key words: Rayleigh-Bénard convection, free-slip boundary, large-scale circulation, enhancement of heat transport, PDM-DNS

中图分类号:

O358

何鹏, 包芸. 滑移边界对二维Rayleigh-Bénard热对流流态和传热特性的影响[J]. 计算物理, 2019, 36(5): 542-550.

HE Peng, BAO Yun. Effect of Free-slip Boundaries on Flow and Heat Transport Characteristics in Two-dimensional Rayleigh-Bénard Convection[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(5): 542-550.

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滑移边界对二维Rayleigh-Bénard热对流流态和传热特性的影响

Effect of Free-slip Boundaries on Flow and Heat Transport Characteristics in Two-dimensional Rayleigh-Bénard Convection

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