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논문 상세정보

타원방정식에 의한 벽면 부근의 난류열유속 모형화

Near-Wall Modelling of Turbulent Heat Fluxes by Elliptic Equation

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.

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참고문헌 (11)

  1. 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 
  2. Manceau, R. and Hanjalic, K., 2002, 'Elliptic Blending Model: A New Near-Wall Reynolds-Stress Turbulence Closure,' Phys. Fluids, Vol. 14, pp. 744-754 
  3. 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 
  4. Durbin, P.A., 1993, 'A reynolds Stress Model for Near-Wall Turbulence,' J. Fluid Mech., Vol. 249, pp. 465-498 
  5. 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 
  6. 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 
  7. 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 
  8. 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 
  9. 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 
  10. 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 
  11. 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 

이 논문을 인용한 문헌 (1)

  1. 2004. "" KSME international journal, 18(10): 1782~1798 

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