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

  • 제25권5호
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  • Pages.731-740
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  • 2001
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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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수직축을 중심으로 회전하는 직관과 정지한 곡관 내에서의 완전 발달된 난류 유동의 유사성에 관한 수치적 연구

Numerical Study on the Similarity between the Fully Developed Turbulent Flow in an Orthogonally Rotating Square Duct and that in a Stationary Curved Square Duct

  • 발행 : 2001.05.01
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초록

A numerical study on the quantitative analogy between the fully developed turbulent flow in a straight square duct rotating about an axis perpendicular to that of the duct and that in a stationary curved duct of square cross-section is carried out. In order to clarify the similarity of the two flows, dimensionless parameters K(sub)TR=Re(sup)1/4/√Ro and Rossby number, Ro, in a rotating straight duct flow were used as a set corresponding to K(sub)TC=Re(sup)1/4/√λ and curvature ratio, λ, in a stationary curved duct flow so that they have the same dynamical meaning as those of the fully developed laminar flows. For the large values of Ro or λ, it is shown that the flow field satisfies the asymptotic invariance property, that is, there are strong quantitative similarities between the two flows such as flow patterns and friction factors for the same values of K(sub)TR and K(sub)TC.

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참고문헌

  1. Johnston, J. P., Halleen, R. M. and Lezius, D. K., 1972, 'Effects of Spanwise Rotation on the Structure of Two-Dimensional Fully Developed Turbulent Channel Flow,' J. Fluid Mech., Vol. 56, pp. 533-557 https://doi.org/10.1017/S0022112072002502
  2. Iacovides, H. and Launder, B. E., 1991, 'Parametric and Numerical Study of Fully Developed Flow and Heat Transfer in Rotating Rectangular Ducts,' J. Turbomachinery, Vol. 113, pp. 331-338
  3. Humphrey, J. A. C., Whitelaw, J. H. and Vee, G., 1981, 'Turbulent Flow in a Square Duct with Strong Curvature,' J. Fluid Mech., Vol. 103, pp. 443-463 https://doi.org/10.1017/S0022112081001419
  4. Taylor, A. M. K. P., Whitelaw, J. H. and Yianneskis, M., 1982, 'Curved Ducts with Strong Secondary Motion : Velocity Measurements of Developing Laminar and Turbulent Flow,' J. Fluids Eng., Vol. 104, pp. 350-359
  5. 이공희, 백제현, 2000, '수직축을 중심으로 회전하는 직관과 정지한 곡관내에서의 층류 유동의 유사성 비교,' 대한기계학회논문집(B), 제24권 제12호, pp. 1683-1691
  6. Lee, G. H. and Baek, J. H., 2000, 'Similarity Comparison of Laminar Flows between in Orthogonally Rotating Square Duct and Stationary Curved Square Duct,' accepted to Int. J. Rotating Machinery
  7. Launder, B. E. and Spalding, D. B., 1974, 'The Numerical Computation of Turbulent Flows,' Comp. Methods Applied Mech. Eng., Vol. 3, pp. 269-289 https://doi.org/10.1016/0045-7825(74)90029-2
  8. Majumdar, A. K., Pratap, V. S. and Spalding, D. B' 1977, 'Numerical Computation of Flow In Rotating Ducts,' J. Fluids Eng., Vol. 99, pp. 148-153
  9. Patankar, S. V., Pratap, V. S. and Spalding, D. B., 1975, 'Prediction of Turbulent Flow in Curved Pipes,' J. Fluid Mech., Vol. 67, pp. 583-595 https://doi.org/10.1017/S0022112075000481
  10. Pratap, V. S. and Spalding, D. B' 1975, 'Numerical Computations of the Flow in Curved Ducts,' Aeronautical Quarterly, Vol. 26, pp. 219-228
  11. Howard, J. H. G., Patankar, S. V. and Bordynuik, R. M., 1980, 'Flow Prediction in Rotating Ducts using Coriolis-Modified Turbulence Models,' J. Fluids Eng., Vol. 102, pp. 456-461
  12. Younis, B. A., 1993, 'Prediction of Turbulent Flows in Rotating Rectangular Ducts,' J. Fluids Eng., Vol. 115, pp. 647-652
  13. Iacovides, H., Launder, B. E. and Li, H-Y, 1996, 'The Computation of Flow Development through Stationary and Rotating U-Ducts of Strong Curvature,' Int. J. Heat & Fluid Flow, Vol. 17, pp, 22-33 https://doi.org/10.1016/0142-727X(95)00056-V
  14. Wilcox, D. C., 1994, 'Simulation of Transition with a Two-Equation Turbulence Model,' AIAA J., Vol. 32, pp. 247-255
  15. Stephens, M. A. and Shih, T. I-P., 1999, 'Flow and Heat Transfer in a Smooth U-Duct with and without Rotation,' J. Prop. & Power, Vol. 15, pp. 272-279
  16. Song, B' Liu, G, R' Xu, D, and Lam, K. Y' 1998, 'Application of the Bounded Higher-Order WACEB Scheme to Turbulent Flow,' Proc. 3rd HPC Asia Conference & Exhibition, Singapore
  17. Schlichtig, H., 1979, Boundary Layer Theory, McGraw-Hill, p, 600
  18. Menter, F, R., 1993, 'Zonal Two Equation $k-{\omega}$ Turbulence Models for Aerodynamic Flows,' AIAA-93-2906
  19. Chen, H, C. and Patel, V, C., 1988, 'Near-Wall Turbulence Models for Complex Flows Including Separation,' AIAA J., Vol. 26, pp, 641-648
  20. Moore, J. 1967, 'Effects of Coriolis on Turbulent Flow in Rotating Rectangular Channels,' MIT Gas Turbine Lab, Report, No, 89
  21. Ito, H. and Nanbu, K., 1971, 'Flow in Rotating Straight Pipes of Circular Cross Section,' J. Basic Eng., Vol. 93, pp, 383-394
  22. Ito, H., 1959, 'Friction Factors for Turbulent Flow in Curved Pipes,' J. Basic Eng., Vol. 81, pp. 123-134