Browse > Article

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

Myong Hyon Kook (국민대 기계자동차공학부)
Publication Information
Journal of computational fluids engineering / v.8, no.1, 2003 , pp. 23-29 More about this Journal
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
Nonlinear κ-ε model; Turbulence-driven secondary flow; Anisotropy; Simulation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Shih, T.H., Zhu, J. and Lumley, J.L., 'A Realizable Reynolds Stress Algebraic Equation Model,' NASA TM-105993, (1993)
2 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
3 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)
4 STAR-CD, Methodology Manual, Version 3.10, Computational Dynamics Ltd., (1999), pp.2.1-2.14
5 Launder, B.E. and Ying, W.M., 'Prediction of Flow and Heat Transfer in Ducts of Sciuare Cross Section,' Proc. Inst. Mech. Engrs., Vo1.187, (1973), pp.455~461
6 Gessner, F.B. and Emery, A.F., 'The Numerical Prediction of Developing Turbulent Flow in Rectangular Ducts,' Trans. ASME. J. Fluids Engineering, Vol.103, (1981), pp.445-455
7 명현국, '비선형 저레이놀즈수 $\kappa-\varepsilon$난류모델에 따른 정사각형 덕트내 완전 발달된 난류유동 예측,' 대한기계학회에 투고중(2002)
8 Myong, H.K. and Kobayashi, T., 'Prediction of Three-Dimensional Developing Turbulent Flow in a Square Duct with an Anisotropic Low-Reynolds-Number $\kappa-\varepsilon$ Model,' ASME J. Fluids Engineering, Vol.113, (1991), pp.608~615
9 명현국, '정렬격자계를 사용하는 3차원 대류열전달 해석프로그램 개발,' 기계의 날 선포및 2002년도 기계관련 연합심포지움 논문집( 대한기계학회편), (2002), pp. 2614-2619. 집
10 Melling, A. and Whitelaw, J.H., 'Turbulent Flow in a Rectangular Duct,' J. Fluid Mech., Vo1.78, (1976), pp.289-315
11 Brundrett, E. and Baines, W.D., 'The Production and Diffusion of Vorticity in Duct Flow,' J. Fluid Mech., Vo1.19, (1964), pp.375-394
12 Demuren, A. O. and Rodi, W., 'Calculation of Turbulent Driven Secondary Motion in Non-Circular Ducts,' J. Fluid Mech., Vol. 140, (1984), pp. 189-222
13 Myong, H.K. and Kasagi, N., 'Prediction of Anisotropy of the Near-Wall Turbulence with an Anisotropic Low-Reynolds-Number $\kappa-\varepsilon$ Turbulence Model,' ASME J, Fluids Engineehng, Vol.112, (1990), pp.521-524