ANALYSIS OF THE UNSTEADY REYNOLDS­AVERAGED SIMULATION TECHNIQUE FOR RAYLEIGH-BéNARD CONVECTION

D.-S. Joo; D. You

doi:10.6112/kscfe.2024.29.2.062

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2024 Vol.29, Issue 2 Preview Page Next Page

Original Article

ANALYSIS OF THE UNSTEADY REYNOLDSAVERAGED SIMULATION TECHNIQUE FOR RAYLEIGH-BéNARD CONVECTION 레일리-버나드 대류에 대한 비정상 레이놀즈평균 모사 기법의 분석

30 June 2024. pp. 62-73

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Abstract

This study investigates the capability of unsteady Reynolds-averaged Navier-Stokes(URANS) simulations in predicting turbulent Rayleigh-Bénard convection, with a particular focus on the prediction of convective cells and turbulent heat transfer. Previous researchers have posited that URANS can accurately simulate convective rolls, which in turn may enable reliable predictions of heat transfer in turbulent regimes. The analysis distinguishes between the effects modeled and resolved by URANS—the latter capturing the unsteady fluid motions’ contributions to heat transport. By simplifying the RANS model equations, the study estimates the turbulence diffusivities for momentum and heat, and derives scaling relationships for the Rayleigh, Prandtl, and Nusselt numbers that demonstrate the influence of large-scale convection cells. This approach qualitatively explains previous observations on the diminishing modeled effects on heat flux at higher Rayleigh numbers as observed in prior studies by Kenjereš and Hanjalić [2006, Int. J. Heat. Fluid. Fl., Vol. 27, No.5.]. Additionally, the study estimates the velocity scale of convective cells predicted by URANS, factoring in the modeled turbulent viscosity and thermal diffusivity alongside Rayleigh and Prandtl numbers. Findings suggest that the velocity scale, consistent across various turbulence models, can be approximated using the free-fall velocity concept, irrespective of the modeled turbulent viscosity.

Keywords

Natural convection

Heat transfer

Turbulence modeling

Reynolds-averaged Navier-Stokes equations

RANS

Unsteady simulation

키워드

자연대류

열 전달

난류 모델링

레이놀즈 평균화된 나비에-스토크스 방정식

비정상 모사

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Information

Publisher :Korean Society for Computational Fluids Engineering
Publisher(Ko) :한국전산유체공학회
Journal Title :Journal of Computational Fluids Engineering
Journal Title(Ko) :한국전산유체공학회지
Volume : 29
No :2
Pages :62-73
Received Date : 2024-03-28
Revised Date : 2024-05-23
Accepted Date : 2024-06-19
DOI :https://doi.org/10.6112/kscfe.2024.29.2.062

Journal of Computational Fluids Engineering ISSN:1598-6071(Print) 3022-6252(Online) 한국전산유체공학회지

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