Journal article

Vertical natural convection: application of the unifying theory of thermal convection

Chong Shen Ng, Andrew Ooi, Detlef Lohse, Daniel Chung

Journal of Fluid Mechanics | Cambridge University Press (CUP) | Published : 2015

Abstract

Results from direct numerical simulations of vertical natural convection at Rayleigh numbers 1.0 × 105-1.0 × 109 and Prandtl number 0:709 support a generalised applicability of the Grossmann-Lohse (GL) theory, which was originally developed for horizontal natural (Rayleigh-Bénard) convection. In accordance with the GL theory, it is shown that the boundary-layer thicknesses of the velocity and temperature fields in vertical natural convection obey laminar-like Prandtl-Blasius-Pohlhausen scaling. Specifically, the normalised mean boundary-layer thicknesses scale with the.1=2-power of a wind-based Reynolds number, where the 'wind' of the GL theory is interpreted as the maximum mean velocity. Aw..

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Funding Acknowledgements

The authors gratefully acknowledge the computing time provided by the NCI National Facility Canberra, Australia, which is supported by the Australian Commonwealth Government. Some of the simulations were conducted with the support of iVEC through the use of advanced computing resources located at iVEC@Murdoch, Western Australia, Australia.