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• W3144036978 abstract "• The behaviour of the turbulent Prandtl number is investigated near a vertical surface. • The application of a machine learning method is introduced for buoyancy-affected flow. • The developed data-driven algebraic models are shown to perform well for a wide range of the parameter space. The behaviour of the turbulent Prandtl number ( Pr t ) for buoyancy-affected flows near a vertical surface is investigated as an extension study of Gibson & Leslie, Int. Comm. Heat Mass Transfer , Vol. 11, pp. 73–84 (1984). By analysing the location of mean velocity maxima in a differentially heated vertical planar channel, we identify an infinity anomaly for the eddy viscosity ν t and the turbulent Prandtl number Pr t , as both terms are divided by the mean velocity gradient according to the standard definition, in vertical buoyant flow. To predict the quantities of interest, e.g. the Nusselt number, a machine learning framework via symbolic regression is used with various cost functions, e.g. the mean velocity gradient, with the aid of the latest direct numerical simulation (DNS) dataset for vertical natural and mixed convection. The study has yielded two key outcomes: ( i ) the new machine learnt algebraic models, as the reciprocal of Pr t , successfully handle the infinity issue for both vertical natural and mixed convection; and ( i i ) the proposed models with embedded coordinate frame invariance can be conveniently implemented in the Reynolds-averaged scalar equation and are proven to be robust and accurate in the current parameter space, where the Rayleigh number spans from 10 5 to 10 9 for vertical natural convection and the bulk Richardson number R i b is in the range of 0 and 0.1 for vertical mixed convection." @default.
• W3144036978 created "2021-04-13" @default.
• W3144036978 creator A5021829090 @default.
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• W3144036978 date "2021-11-01" @default.
• W3144036978 modified "2023-09-25" @default.
• W3144036978 title "Data-driven algebraic models of the turbulent Prandtl number for buoyancy-affected flow near a vertical surface" @default.
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• W3144036978 doi "https://doi.org/10.1016/j.ijheatmasstransfer.2021.121737" @default.
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