| 滑移边界对二维Rayleigh-Bénard热对流流态和传热特性的影响 |
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| 引用本文： | 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. DOI: 10.19596/j.cnki.1001-246x.7923 |
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| 作者姓名： | 何鹏 包芸 |
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| 作者单位： | 中山大学航空航天学院,广东广州,510275 |
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| 基金项目： | 国家自然科学基金（11772362，11452002）资助项目 |
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| 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~Ra0.3.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Numax≈250，是无滑移边界热流Nu的5倍.
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| 关 键 词： | Rayleigh-Bénard热对流 滑移边界 大尺度环流 传热增强 PDM-DNS |
| 收稿时间： | 2018-07-09 |
| 修稿时间： | 2018-11-05 |
Effect of Free-slip Boundaries on Flow and Heat Transport Characteristics in Two-dimensional Rayleigh-Bénard Convection |
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| 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. DOI: 10.19596/j.cnki.1001-246x.7923 |
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| Authors: | HE Peng BAO Yun |
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| Affiliation: | Department of Applied Mechanics and Engineering, Sun Yat-Sen University, Guangzhou Guangdong 510275, China |
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| 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~Ra0.3. 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, Numax≈250, it is five times of Nu in no-slip boundary thermal convection. |
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| Keywords: | Rayleigh-Bénard convection free-slip boundary large-scale circulation enhancement of heat transport PDM-DNS |
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