Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Evaluation of Nonlinear κ-ε Models on Prediction Performance of Turbulence-Driven Secondary Flows

난류에 의해 야기되는 이차유동 예측성능에 대한 비선형 κ-ε 난류모델의 평가

  • 명현국 (국민대학교 기계자동차공학부)
  • Published : 2003.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

Nonlinear relationship between Reynolds stresses and the rate of strain of nonlinear k-$\varepsilon$models is evaluated theoretically by using the boundary layer assumptions against the turbulence-driven secondary flows in noncircular ducts and then their prediction performance is validated numerically through the application to the fully developed turbulent flow in a square duct. Typical predicted quantities such as mean axial and secondary velocities, turbulent kinetic energy and Reynolds stresses are compared with available experimental data. The nonlinear k-$\varepsilon$ model 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. Brundrette, E. and Baines, W.D., 1964, 'The Production and Diffusion of Vorticity in Duct Flow,' J.Fluid Mech., Vol. 19, pp. 375-394 https://doi.org/10.1017/S0022112064000799
  2. Perkins, H.J., 1970, 'The Formation of Streamwise Vorticity in Turbulent Flow,' J. Fluid Mech., Vol. 44, pp. 721-740 https://doi.org/10.1017/S0022112070002112
  3. Melling, A. and Whitelaw, J.H., 1976, 'Turbulent Flow in a Rectangular Duct,' J. Fluid Mech., Vol. 78, pp. 289-315 https://doi.org/10.1017/S0022112076002450
  4. Gessner, F.B., Po, J.K. and Emery, A.F., 1979, 'Measurement of Developing Turbulent Flow in a Square Duct,' Turbulent Shear Flows I (ed. by Durst, et al.), Springer-Verlag, New York, pp.289-315
  5. Gessner, F.B. and Emery, A.F., 1981, 'The Numerical Prediction of Developing Turbulent Flow in Rectangular Ducts,' Trans. ASME. J. Fluids Engineering, Vol. 103, pp. 445-455 https://doi.org/10.1115/1.3240811
  6. Launder, B.E. and Ying, W.M., 1973, 'Prediction of Flow and Heat Transfer in Ducts of Square Cross Section,' Proc. Inst. Mech. Engrs., Vol. 187, pp. 455-461 https://doi.org/10.1243/PIME_PROC_1973_187_131_02
  7. Nakayama, A., Chow, W.L. and Sharma, D., 1983, 'Calculation of Fully Development Turbulent Flows in Ducts of Arbitrary Cross-Section,' J. Fluid Mech., Vol. 128, pp. 199-217 https://doi.org/10.1017/S0022112083000440
  8. Demuren, A.O. and Rodi, W., 1984, 'Calculation of Turbulent Driven Secondary Motion in Non-Circular Ducts,' J. Fluid Mech., Vol. 140, pp. 189-222 https://doi.org/10.1017/S0022112084000574
  9. Speziale, C.G., 1987, 'On Nonlinear k-l and k-${\varepsilon}$ Models of Turbulence,' J. Fluid Mech., Vol. 176, pp. 459-475 https://doi.org/10.1017/S0022112087001319
  10. Myong, H.K. and Kobayashi, T., 1991, 'Prediction of Three-Dimensional Developing Turbulent Flow in a Square Duct with an Anisotropic Low-Reynolds-Number k-${\varepsilon$ Model,' ASME J. Fluids Engineering, Vol. 113, pp. 608-615 https://doi.org/10.1115/1.2926523
  11. STAR-CD, 1999, Methodology Manual Version 3.10, Computational Dynamics Ltd., pp. 2.1-2.14
  12. Lee, K.B. and Jang, H.C., 1997, 'A Numerical Prediction on the turbulent flow in Closely Spaced Bare Rod Arrays by a Nonlinear $k-{\varepsilon}$>/TEX> Model,' Nuclear Engineering and Design, Vol. 172, pp. 351-357 https://doi.org/10.1016/S0029-5493(97)00001-0
  13. de Lemos, M.J.S. and Assato, M., 2002, 'Simulation of Axial Flow in a Bare Rod Bundle using a Non-linear Turbulence Model with High Reynolds Approximation,' Proc. ICONE10(10th Int. Conf. on Nuclear Eng.), ICONE10-22300, Arlington, VA, Apr. 14-18
  14. Shih, T.H., Zhu, J. and Lumley, J.L., 1993, 'A Realizable Reynolds Stress Algebraic Equation Model,' NASA TM-105993
  15. Myong, H.K. and Kasagi, N., 1990, 'Prediction of Anisotropy of the Near-Wall Turbulence with an Anisotropic Low-Reynolds-Number $k-{\varepsilon}$ Turbulence Model,' ASME J. Fluids Engineering, Vol. 112, pp. 521-524 https://doi.org/10.1115/1.2909437
  16. Craft, T.J., Launder, B.E. and Suga, K., 1996, 'Development and Application of a Cubic Eddy-Viscosity Model of Turbulence,' Int. J. Heat and Fluid Flow, Vol. 17, pp. 108-115 https://doi.org/10.1016/0142-727X(95)00079-6
  17. Myong, H.K., 2002, 'Development of 3-D Convective Heat Transfer Analysis Program using Structured Grid System,' (in Korean) Proc. KAMES 2002 Joint Symp. (KSME part), pp. 2614-2619
  18. Myong, H.K., 2002, 'Prediction of Fully Developed Turbulent Flow in a Square Duct with Nonlinear Low-Reynolds-Number $k-{\varepsilon}$ Models,' (in Korean) to appear in Trans. KAME
  19. Myong, H.K., 2003, 'Simulation of Turbulent Flow in a Triangular Subchannel of a Bare Rod Bundle with Nonlinear $k-{\varepsilon}$ Models,' (in Korean)to appear in KSCFE J. of Computational Fluid Engineering
  20. KSCFE J. of Computational Fluid Engineering Simulation of Turbulent Flow in a Triangular Subchannel of a Bare Rod Bundle with Nonlinear k-ε Models Myong,H.K.
  21. Trans.KAMES Prediction of Fully Developed Turbulent Flow in a Square Duct with Nonlinear Low-Reynolds-Number k-e Models Myong,H.K.;