Simulation of Turbulent Flow in a Triangular Subchannel of a Bare Rod Bundle with Nonlinear k-$\varepsilon$ Models

비선형 k-$\varepsilon$ 난류모델에 의한 봉다발의 삼각형 부수로내 난류유동 수치해석

  • 명현국 (국민대 기계자동차공학부)
  • Published : 2003.06.01

Abstract

Three nonlinear κ-ε models with the wall function method are applied to the fully developed turbulent flow in a triangular subchannel of a bare rod bundle. Typical predicted quantities such as axial and secondary velocities, turbulent kinetic energy and wall shear stress are compared in details both qualitatively and quantitatively with both each other and experimental data. The nonlinear κ-ε models by Speziale[1] and Myong and Kasagi[2] are found to be capable of predicting accurately noncircular duct flows involving turbulence-driven secondary motion. The nonlinear κ-ε model by Shih et aL.[3] adopted in a commercial code is found to be unable to predict accurately noncircular flows with the prediction level of secondary flows one order less than that of the experiment.

Keywords

References

  1. Speziale, C.G., 'On Nonlinear k- l and k-$\varepsilon$ Models of Turbulence,' J. Fluid Mech., Vo1.176, (1987), P.459~475
  2. Myong, H. K. and Kasagi, N., 'Prediction of Anisotropy of the Near-Wall Turbulence with an Anisotropic Low-Reynolds-Number k - $\varepsilon$ Turbulence Model,' Trans. ASME J. Fluids Engineehng, Vo1.112, (1990), p.521-524
  3. Shih, T. H., Zhu, J. and Lumley, J. L., 'A Realizable Reynolds Stress Algebraic Equation Model,' NASA TM-105993, (1993)
  4. Brundrett, E. and Baines, W. D., 'The Production and Diffusion of Vorticity in Duct Flow,' J. Fluid Mech., Vo1.19, (1964), P.375-394
  5. Launder, B. E. and Ying, W. M., 'Prediction of Flow and Heat Transfer in Ducts of Square Cross Section,' Proc. Inst. Mech. Engrs., Vo1.187, (1973), pp.455~461
  6. Melling, A. and Whitelaw, J. H., 'Turbulent Flow in a Rectangular Duct,' J. Fluid Mech., Vo1.78, (1976), p.289~315
  7. Gessner, F. B. and Emery, A. F., 'The Numerical Prediction of Developing Turbulent Flow in Rectangular Ducts,' Trans. ASME. J. Fluids Engineering, Vo1.103, (1981), P. 445-455
  8. Demuren, A. 0. and Rodi, W., 'Calculationof Turbulent Driven Secondary Motion in Non-Circular Ducts,' J. Fluid Mech., Vo1.140, (1984), P.189~222
  9. 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,' Trans. ASME J. Fluids Engineering, Vol.ll3, (1991), p.608~615
  10. Mompean, G., 'Numerical Simulation of a Turbulent Flow near a Right-Angled Comer using the Speziale Non-Linear Model with RNG k - $\epsilon$ Equations,' Computers & Fluids, Vo1.27, No.7, (1998), P.847-859
  11. Trupp, A.C. and Azad, R.S., 'The Structure of Turbulent Flow in Triangular Array Rod Bundles' Nuclear Engineering and Design, Vo1.32, No.l, (1975), p.47~84
  12. Carajilescov, P. and Todreas, N.E., 'Experimental and Analytical Study of Axial Turbulent Flows in an Interior Subchannel of a Bare Rod Bundle,'Trans. ASME, J. Heat Transfer, Vo1.98, (1976), p.262~268
  13. Bartzis, J.G. and Todreas, N.E., 'Turbulence Modeling of Axial Flow in a Bare Rod Bundle,' Trans. ASME J. of Heat Transfer, Vol.lOl, (1979), p.628~634
  14. Trupp, A.C. and Aly, A.M.M., 'Predicted Secondary Flows in Thangular Array Rod Bundles,' Trans. ASME J. Fluids Engineering, Vol.lOl, (1979), p.354~363
  15. Yang, A.S. and Chieng, C.C., 'Turbulent Heat and Momentum Transports in an Infinite Rod Array,' Trans. ASME J. of Heat Transfer, Vo1.109, (1987), P.599-605
  16. Lee, K.B. and Jang, H.C., 'A Numerical Prediction on the Turbulent Flow in Closely Spaced Bare Rod Arrays by a Nonlinear k - $\epsilon$ Model,' Nuclear Engineering and Design, Vo1.172, (1997), P.351-357
  17. de Lemos, M.J.S. and Assato, M., 'Simulation of Axial Flow in a Bare Rod Bundle using a Non-linear Turbulence Model with High Reynolds Approximation,' Proc. ICONElO(1Oth Int. Conf. on Nuclear Eng.), IC0NE10-22300, Arlington, VA, Apr. 14-18, (2002)
  18. STAR-CD, Methodology Manual, Version 3.10, Computational Dynamics Ltd., (1999), P.2.1-2.14
  19. 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), P.108-115
  20. Myong, H.K., 'Development of 3-D Convective Heat Transfer Analysis Program using Structured Ghd System,'(in Korean) Proc. KAMES 2002 Joint Symp. (KSME Part), (2002), p. 2614- 2619
  21. Myong, H.K., 'Evaluation of Nonlinear k - $\epsilon$ Models on Prediction Performance of Turbulence-Dhven Secondary Flows,' (in Korean) submitted to Trans. KSME (2003)