Numerical computations of steady and unsteady, separating, buoyant flows - Part II: Computations with a low-Reynolds-number κ-ε model

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Abstract

Numerical computation has been performed to determine the influence of buoyant effects on convective flows with the standard κ-ε and the low-Reynolds-number κ-ε models. Results obtained with both turbulent models are compared with the available experimental data. In this work, Kolmogorov velocity, uε = (vε)1/4 , is introduced instead of shear velocity, uτ = √τw/ρ, to avoid the singularity that appears at the separating and reattaching point for both turbulence models. Turbulent Prandtl numbers were allowed to vary in the low-Reynolds-number κ-ε model to mimic the experimental data. Buoyant effects have been investigated with various Richardson numbers for the backward-facing step flow. Various separation patterns as well as vortex shedding were observed beyond a critical Richardson number. In addition, the required grid configuration for accurate results for the low-Reynolds-number κ-ε model has been discussed for the backward-facing step flows.

Original languageEnglish
Pages (from-to)811-832
Number of pages22
JournalNumerical Heat Transfer; Part A: Applications
Volume42
Issue number8
DOIs
StatePublished - Dec 2002

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