Prandtl-number dependence of heat transport in laminar horizontal convection.

Shishkina, O.; Wagner, S.

doi:10.1103/PhysRevLett.116.024302

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Prandtl-number dependence of heat transport in laminar horizontal convection.

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Shishkina, O.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Wagner, S.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Shishkina, O., & Wagner, S. (2016). Prandtl-number dependence of heat transport in laminar horizontal convection. Physical Review Letters, 116(2): 024302. doi:10.1103/PhysRevLett.116.024302.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-21AC-6

Abstract

We report the Prandtl-number (Pr) and Rayleigh-number (Ra) dependencies of the Reynolds number (Re) and mean convective heat transport, measured by the Nusselt number (Nu), in horizontal convection (HC) systems, where the heat supply and removal are provided exclusively through a lower horizontal surface of a fluid layer. For laminar HC, we find that Re∼Ra2/5Pr−4/5, Nu∼Ra1/5Pr1/10 with a transition to Re∼Ra1/2Pr−1, Nu∼Ra1/4Pr0 for large Pr. The results are based on direct numerical simulations for Ra from 3×108 to 5×1010 and Pr from 0.05 to 50 and are explained by applying the Grossmann-Lohse approach [J. Fluid Mech. 407, 27 (2000)] transferred from the case of Rayleigh-Bénard convection to the case of laminar HC.