Browse > Article
http://dx.doi.org/10.3795/KSME-B.2004.28.5.526

Near-Wall Modelling of Turbulent Heat Fluxes by Elliptic Equation  

Shin, Jong-Keun (동해대학교 자동차공학과)
An, Jeong-Soo (고려대학교 대학원 기계공학과)
Choi, Young-Don (고려대학교 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.28, no.5, 2004 , pp. 526-534 More about this Journal
Abstract
A new second-moment closure model for turbulent heat fluxes is proposed on the basis of the elliptic equation. The new model satisfies the near-wall balance between viscous diffusion, viscous dissipation and temperature-pressure gradient correlation, and also has the characteristics of approaching its respective conventional high Reynolds number model far away from the wall. The predictions of turbulent heat transfer in a channel flow have been carried out with constant wall heat flux and constant wall temperature difference boundary conditions respectively. The velocity field variables are supplied from the DNS data and the differential equations only fur the mean temperature and the scalar flux are solved by the present calculations. The present model is tested by direct comparisons with the DNS to validate the performance of the model predictions. The prediction results show that the behavior of the turbulent heat fluxes in the whole region is well captured by the present model.
Keywords
Elliptic Equation; Turbulent Heat Flux; Temperature-pressure Gradient Correlation; Second Moment Closure;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Kasagi, N., Tomita, Y. and Kuroda, A., 1992, 'Direct Numerical Simulation of the Passive Scalar Field in a Turbulent Channel Flow,' ASME J. Heat Transfer, Vol. 114, pp. 598-606
2 Durbin, P.A., 1993, 'A reynolds Stress Model for Near-Wall Turbulence,' J. Fluid Mech., Vol. 249, pp. 465-498   DOI   ScienceOn
3 Moser, R.D., Kim, J. and Mansour, N.N., 1999, 'Direct Numberical Simulation of Turbulent Channel Flow up to $Re{\tau}$=590,' Phys. Fluids, Vol. 11, pp. 943-945   DOI   ScienceOn
4 Manceau, R. and Hanjalic, K., 2002, 'Elliptic Blending Model: A New Near-Wall Reynolds-Stress Turbulence Closure,' Phys. Fluids, Vol. 14, pp. 744-754   DOI   ScienceOn
5 Manceau, R. and Hanjalic, K., 2000, 'A New Form of the Elliptic Relaxation Equation to Account for Wall Effects in RANS Modeling,' Phys. Fluids, Vol. 12, pp. 2345-2351   DOI   ScienceOn
6 Kawamura, H., Abe, H. and Shingai, K., 2000, 'DNS of Turbulence and Heat Transport in a Channel Flow with Different Reynolds and Prandtl Numbers and Boundary Conditions,' Turbulence, Heat and Mass Transfer 3, Edited by Nagano, Y., Hanjalic, K., Tsuji, T., pp. 15-32
7 Craft,T .J., Ince, N.J. and Launder, B.E., 1996, 'Recent Developments in Second-Moment Closure for Buoyancy-Affected Flows,' Dynamics of Atmospheres and Oceans, Vol. 23, pp. 99-114   DOI   ScienceOn
8 Lai, Y.G. and So, R.M.C., 1990, 'Near-Wall Modeling of Turbulent Heat Fluxes,' Int. J. Heat Mass Transfer, Vol. 33, pp. 1429-1440   DOI   ScienceOn
9 Shin, J.K., Choi, Y.D. and Lee, G.H., 1993, 'A Low-Reynolds Number Second Moment Closure for Turbulet Heat Fluxes,' Transactions of the KSME, Vol. 17, pp. 3196-3207   과학기술학회마을
10 Shikazo, N. and Kasagi, N., 1996, 'Second-Moment Closure for Turbulent Scalar Transport at Various Prandtl Numbers,' Int. J. Heat Mass Transfer, Vol. 39, pp. 2977-2987   DOI   ScienceOn
11 Kim, J. and Moin, P., 1987, 'Transport of Passive Scalars in a Turbulent Channel Flow,' Proceedings of the 6th Symposium on Turbulent Shear Flows, 5-2