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

  • 제33권12호
  • /
  • Pages.1014-1021
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  • 2009
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  • 1226-4881(pISSN)
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  • 2288-5324(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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난류유동 해석을 위한 νt-κ-γ 모델의 개발

Development of νt-κ-γ Turbulence Model for Computation of Turbulent Flows

  • 최원철 (한국과학기술원 기계공학과) ;
  • 서영민 (두산인프라코어) ;
  • 최상규 (삼성중공업(주) 조선해양연구소) ;
  • 정명균 (한국과학기술원 기계공학과)
  • 발행 : 2009.12.01
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초록

A new eddy viscosity equation was formulated from assumption of turbulence length scale equation and specific dissipation ratio equation. Then, a set of turbulence model equations for the turbulent kinetic energy ${\kappa}$, the viscosity ${\nu}_t$, and the intermittency factor ${\gamma}$ is proposed by considering the entrainment effect. Closure coefficients are determined by experimental data and resorting to numerical optimization. Present model has been applied to compute four representative cases of free shear flows and successfully compared with experimental data. In particular, the spreading rate, the centreline mean velocity and the profiles of intermittency are calculated with improved accuracy. Also, the proposed ${\nu}_t-{\kappa}-{\gamma}$ model was applied to channel flow by considering the wall effect and the results show good agreements with the Direct Numerical Simulation data.

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참고문헌

  1. Baldwin, B. S. and Barth, T. J., 1991, ' A One-Equation Turbulence Transport Model for High Reynolds Number Wall-Bounded Flows,' AIAA Paper, 91-0610
  2. Spalart, P. R. and Allmaras, S. R., 1992, ' A One-Equation Turbulence Model for Aerodynamic Flows,' AIAA Paper, 92-439
  3. Kim, S. H. and Chung, M. K., 2001, ' New $\nu_{t}-\kappa$ Model for Calculation of Wall-Bounded Turbulent Flows,' AIAA J., Vol. 39, No. 9, pp. 1803-1805 https://doi.org/10.2514/2.1514
  4. Wilcox, D. C., 2006, ' Turbulence Modeling for CFD Third Edition,' DCW industries.
  5. Cho, J. R. and Chung, M. K., 1992, ' A $\kappa-\varepsilon-\gamma$ Equation Turbulence Model,' J. Fluid Mech., Vol. 237, pp. 301-322 https://doi.org/10.1017/S0022112092003422
  6. Comte-Bellot, G. and Corrsin, S., 1966, ' The Use of a Contraction to Improve the Isotropy of Grid-Generated Turbulence,' J. Fluid Mech., Vol. 25, pp. 657-682 https://doi.org/10.1017/S0022112066000338
  7. Tavoularis, S. and Karnik, U., 1989, ' Further Experiments on the Evolution of Turbulent Stresses and Scales in Uniformly Sheared Turbulence,' J. Fluid Mech., Vol. 204, pp. 457-478 https://doi.org/10.1017/S0022112089001837
  8. Lumley, J. J., 1980, ' Second Order Modeling of Turbulent Flows,' In Prediction methods for Turbulent Flows (ed. W. Kollmann), Hemisphere, pp. 1-31
  9. Dopazo, C., 1977, ' On Conditioned Averages for Intermittent Turbulent Flow,' J. Fluid Mech., Vol. 81, pp. 433-438 https://doi.org/10.1017/S0022112077002158
  10. Byggstoyl, S. and Kollmann, W., 1986, ' A Closure model for Intermittent Turbulent Flows,' Phys. Fluids, Vol. 29, No. 5, pp. 1430-1440 https://doi.org/10.1063/1.865660
  11. Paullay, A. J., Melnik, R. E., Rubel, A., Rudman, S. and Siclari, M. J., 1985, ' Similarity Solutions for Plane and Radial Jets using $\kappa-\varepsilon Turbulence Model,' J. Fluids Eng., Vol. 107, pp. 79-85 https://doi.org/10.1115/1.3242445
  12. Pope, S. B., 1978, ' An Explanation of the Turbulent Round-jet/Plane-jet Anomaly,' AIAA J., Vol. 16, pp. 279-281 https://doi.org/10.2514/3.7521
  13. Jones, W. P. and Launder, B. E., 1972, ' The Prediction of Laminarization with a Two-Equation Model of Turbulence,' Int. J. Heat and Mass Transfer, Vol. 15, pp. 301-314 https://doi.org/10.1016/0017-9310(72)90076-2
  14. Kim, J., Moin, P. and Moser, R., 1987, ' Turbulence Statistics in Fully Developed Channel Flow at Low Reynolds Number,' J. Fluid Mech., Vol. 177, pp. 133-166 https://doi.org/10.1017/S0022112087000892
  15. Gutmark, E. and Wygnanski, I., 1976, ' The Planar Turbulent Jet,' J. Fluid Mech., Vol. 73, pp. 465-495 https://doi.org/10.1017/S0022112076001468
  16. Wygnanski, I. and Fiedler, H. E., 1969, ' Some Measurements in The Self-preserving Jet,' J. Fluid Mech., Vol. 38, pp. 577-612 https://doi.org/10.1017/S0022112069000358
  17. Wygnanski, I., Champagne, F. and Marasali, B., 1986, ' On The Large-scale Structures in Two-dimensional, Small-deficit, Turbulent wakes,' J. Fluid Mech., Vol. 168, pp. 31-71 https://doi.org/10.1017/S0022112086000289
  18. LaRue, J. C., 1974, ' Detection of The Turbulent-nonturbulent Interface in Slightly Heated Turbulent Shear Flows,' Phys. Fluids, Vol. 17, pp. 1513 https://doi.org/10.1063/1.1694927
  19. Mehta, R. D. and Westphal, R. V., 1986, ' Near-field Turbulence Properties of Single- and Two-stream Plane Mixing Layer,' Experiments in Fluids, Vol. 4, pp. 257-266 https://doi.org/10.1007/BF00369117