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Tuning turbulent convection through rough element arrangement

Abstract

The tuning of turbulent Rayleigh-Bénard (RB) convection in a box is realized numerically by designed rough element arrangement. Considering the nonlinear dynamics of the thermal turbulence system, five models with rough elements of different widths and the same height are proposed to tune the fluid flow heat-transport capacity. Numerical simulations are performed using spectral element method for Rayleigh number in the range 106Ra ≤ 109 and a fixed Prandtl number Pr = 0.7. It is found that heat transport is enhanced for large roughness widths as the interaction between the large-scale circulation and secondary flows inside the cavity regions between the rough elements promotes the eruptions of thermal plumes, but is suppressed for small ones as more heat are trapped inside the cavities. In all the rough models studied, different scaling exponents for the heat transport are identified and the influences of roughness arrangement on flow structure are studied.

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Acknowledgements

This work was supported by the Program of Shanghai Academic Research Leader (Grant No. 19XD1421400), the Shanghai Science and Technology Program (Project Nos. 19JC1412802, 20ZR1419800 and 21PJ1404400) and the China Postdoctoral Science Foundation (Grant No. 2020M681259).

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Correspondence to Bo-fu Wang.

Additional information

Project supported by the Natural Science Foundation of China (Grant Nos. 11988102, 92052201, 91852202, 11825204, 12102246 and 11972220).

Biography: Jian-zhao Wu (1991-), Male, Ph. D.

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Wu, Jz., Dong, Dl., Wang, Bf. et al. Tuning turbulent convection through rough element arrangement. J Hydrodyn 34, 308–314 (2022). https://doi.org/10.1007/s42241-022-0020-9

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  • DOI: https://doi.org/10.1007/s42241-022-0020-9

Key words

  • Rayleigh-Bénard (RB) turbulence
  • heat transport
  • roughness arrangement