Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
권호 표지

Simulation of Turbulent Flow in a Square Duct with Nonlinear k-$\varepsilon$ Models

비선형 k-$\varepsilon$ 난류모델에 따른 정사각형 덕트내 난류유동 수치해석(8권1호 게재논문중 그림정정)

  • 명현국 (국민대 기계자동차공학부)
  • Published : 2003.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

Two nonlinear κ-ε models with the wall function method are applied to the fully developed turbulent flow in a square duct. Typical predicted quantities such as axial and secondary velocities, turbulent kinetic energy and Reynolds stresses are compared in details both qualitatively and quantitatively with each other. A nonlinear κ-ε model with the wall function method capable of predicting accurately duct flows involving turbulence-driven secondary motion is presented in the present paper. The nonlinear κ-ε model of Shih et al.[1] adopted in a commercial code is found to be unable to predict accurately duct flows with the prediction level of secondary flows one order less than that of the experiment.

Keywords

References

  1. Shih, T.H., Zhu, J. and Lumley, J.L., 'A Realizable Reynolds Stress Algebraic Equation Model,' NASA TM-105993, (1993)
  2. Brundrett, E. and Baines, W.D., 'The Production and Diffusion of Vorticity in Duct Flow,' J. Fluid Mech., Vo1.19, (1964), PP.375-394
  3. Launder, B.E. and Ymg, W.M., 'Prediction of Flow and Heat Transfer in Ducts of Square Cross Section,' Proc. Inst. Mech. Engrs., Vo1.187, (1973), PP.455~461
  4. Melling, A. and Whitelaw, J.H., 'Turbulent Flow in a Rectangular Duct' J. Fluid Mech., Vo1.78, (1976), PP.289~315
  5. Demuren, A. 0. and Rodi, W., 'Calculation of Turbulent Dhven Secondary Motion in Non-Circular Ducts,' J. Fluid Mech., Vol. 140, (1984), pp. 189-222
  6. Gessner, F.B., 'Comer Flow (Secondary Flow of the Second Kind),' in Kline et al. (eds.), Proc. 1980-1981 AFORS-HTTM Stanford Conf. on Complex Turbulent Flows, Stanford University, (1982)
  7. Myong, H.K. and Kobayashi, T., 'Prediction of Three-Dimensional Developing Turbulent Flow in a Square Duct with an Anisotropic Low-Reynolds-Number k-$\epsilon$ Model,' ASME J. Fluids Engineering, Vol.ll3, (1991), PP.608~615
  8. STAR-CD, Methodology Manual, Version 3.10, Computational Dynamics Ltd., (1999), pp.2.1~2.14
  9. 명현국, '비선형 저레이놀즈수 k-$\epsilon$ 난류모델에 따른 정사각형 덕트내 완전 발달된 난류유동 예측,' 대한기계학회에 투고중(2002)
  10. Myong, H.K. and Kasagi, N., 'Prediction of Anisotropy of the Near-Wall Turbulence with an Anisotropic Low-Reynolds-Number k-$\epsilon$ Turbulence Model,' ASME J. Fluids Engineering, Vo1.112, (1990), PP.521~524
  11. Craft, T.J., Launder, B.E. and Suga, K., 'Development and Application of a Cubic Eddy-Viscosity Model of Turbulence,' Int. J. Heat and Fluid Flow, Vo1.17, (1996), PP.108-115
  12. 명현국, '정렬격자계를 사용하는 3차원 대류열전달 해석프로그램 개발,' 기계의 날 선포 및 2002년도 기계관련 연합심포지움 논문집(대한기계학회편), (2002), pp. 2614-2619
  13. Gessner, F.B. and Emery, A.F., 'The Numehcal Prediction of Developing Turbulent Flow in Rectangular Ducts,' Trans. ASME. J. Fluids Engineering, Vol.lO3, (1981), pp.445~455