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Massive heat transfer enhancement of Rayleigh-Bénard turbulence over rough surfaces and under horizontal vibration

粗糙表面和水平振动下Rayleigh-Bénard湍流的大规模传热强化

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Abstract

We carried out direct numerical simulations of turbulent Rayleigh-Bénard convection (RBC) with accounting for both the roughness and the external vibration over the Rayleigh number range 107 ≤ Ra ≤ 1011 and the vibration frequency range 0 ≤ ω ≤ 1400. The triangular rough elements are uniformly distributed over the top and bottom surfaces, and the vibration is applied in the horizontal direction. It is shown that under the combined action of roughness and horizontal vibration, with increasing the vibration frequency ω, the heat transfer is initially decreased a little and then greatly enhanced after ω exceeds the critical value. The physical reason for massive heat-transfer-enhancement is that high frequency vibration destabilizes thermal boundary layers (BL) over rough surfaces, triggers abundant emissions of thermal plumes, and strengthens the motion of large-scale circulation (LSC), which consequently thins the thickness of thermal BL and heightens the convective transport. In addition, it is shown that vibration-induced heat-transfer-enhancement can obviously affect the scaling behavior between the heat flux and the Rayleigh number, and the scaling exponent increases with increasing ω, whereas the influence of vibration on the scaling behavior between the intensity of LSC and Ra is very weak.

摘要

本文在考虑粗糙度和外部振动条件下, 对瑞利数范围107< Ra < 1011和振动频率范围0 < ω < 1400的Rayleigh-B&acute; enard对流(RBC)湍流进行了直接数值模拟. 三角形粗糙单元均匀分布在顶面和底面上, 并在水平方向上施加振动. 结果表明, 在粗糙度和水平振动的共同作用下, 随着振动频率ω的增加, 传热最初略有降低, 当ω超过临界值后, 传热大大增强. 大量传热强化的物理原因是高频振动使粗糙表面上的热边界层(BL)不稳定, 触发大量热羽流的排放, 并加强大尺度环流(LSC)的运动, 从而使热边界层厚度变薄, 对流输送增强. 此外, 研究还表明振动强化传热可以明显影响热流密度与瑞利数之间的标度行为, 标度指数随ω的增加而增加; 而振动对LSC强度和Ra之间的标度行为的影响非常微弱.

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Authors and Affiliations

  1. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai, 200072, China

    Jian-Zhao Wu  (吴建钊), Bo-Fu Wang  (王伯福) & Quan Zhou  (周全)

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  1. Jian-Zhao Wu  (吴建钊)
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  2. Bo-Fu Wang  (王伯福)
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  3. Quan Zhou  (周全)
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Corresponding author

Correspondence to Bo-Fu Wang  (王伯福).

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11988102, 92052201, 91852202, 11825204, and 11972220), the Program of Shanghai Academic Research Leader (Grant No. 19XD1421400), Shanghai Science and Technology Program (Grant Nos. 19JC1412802 and 20ZR1419800), and China Postdoctoral Science Foundation (Grant No. 2020M681259).

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Wu, JZ., Wang, BF. & Zhou, Q. Massive heat transfer enhancement of Rayleigh-Bénard turbulence over rough surfaces and under horizontal vibration. Acta Mech. Sin. 38, 321319 (2022). https://doi.org/10.1007/s10409-021-09042-x

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