Natural convection flow in a square cavity revisited: laminar and turbulent models with wall functions

Barakos, G. , Mitsoulis, E. and Assimacopoulos, D. (1994) Natural convection flow in a square cavity revisited: laminar and turbulent models with wall functions. International Journal for Numerical Methods in Fluids, 18(7), pp. 695-719. (doi:10.1002/fld.1650180705)

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Abstract

Numerical simulations have been undertaken for the benchmark problem of natural convection flow in a square cavity. The control volume method is used to solve the conservation equations for laminar and turbulent flows for a series of Rayleigh numbers (Ra) reaching values up to 1010. The k-ϵ model has been used for turbulence modelling with and without logarithmic wall functions. Uniform and non-uniform (stretched) grids have been employed with increasing density to guarantee accurate solutions, especially near the walls for high Ra-values. ADI and SIP solvers are implemented to accelerate convergence. Excellent agreement is obtained with previous numerical solutions, while some discrepancies with others for high Ra-values may be due to a possibly different implementation of the wall functions. Comparisons with experimental data for heat transfer (Nusselt number) clearly demonstrates the limitations of the standard k-ϵ model with logarithmic wall functions, which gives significant overpredictions.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barakos, Professor George
Authors: Barakos, G., Mitsoulis, E., and Assimacopoulos, D.
College/School:College of Science and Engineering > School of Engineering > Aerospace Sciences
Journal Name:International Journal for Numerical Methods in Fluids
Publisher:Wiley
ISSN:0271-2091
ISSN (Online):1097-0363

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