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

  • 제24권12호
  • /
  • Pages.1683-1691
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  • 2000
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  • 1226-4881(pISSN)
  • /
  • 2288-5324(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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수직축을 중심으로 회전하는 직관과 정지한 곡관내에서의 층류 유동의 유사성 비교

Study on the Similarity of Laminar Flows between in Orthogonally Rotating Square Duct and Stationary Curved Squared Duct

  • 이공희 (포항공과대학교 대학원 기계공학과) ;
  • 백제현 (포항공과대학교 대학원 기계공학과)
  • Lee, Gong-Hui (Dept. of Mechanical Engineering, Graduate School of Pohang University of Science and Technology) ;
  • Baek, Je-Hyeon (Dept. of Mechanical Engineering, Graduate School of Pohang University of Science and Technology)
  • 발행 : 2000.12.01
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초록

In this study, it is numerically revealed that the secondary flow due to the Coriolls force in a straight duct rotating about an axis perpendicular to that of the duct is analogous to that caused by the centrifugal force in a stationary curved duct. Dimensionless parameters $K_{LR}=Re/\sqrt{Ro}$ and Rossby number in a rotating straight duct were used as a set corresponding to Dean number and curvature ratio in a stationary curved duct. When the value of Rossby number and curvature ratio is large, 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 friction factors, flow patterns, and maximum axial velocity magnitudes for the same values of $K_{LR}$ and Dean number.

키워드

참고문헌

  1. Speziale, C. G., 1983, 'Numerical Study of Viscous flow in Rotating Rectangular Ducts,' J. Fluid Mech., Vol. 122, pp. 251-271 https://doi.org/10.1017/S0022112082002201
  2. Kheshgi, H. S. and Scriven, L. E., 1985, 'Viscous Flow through a Rotating Square Channel,' Phys. Fluids, Vol. 28, pp. 2868-2979
  3. Dean, W. R., 1927, 'Note on the Motion of Fluid in a Curved Pipe,' Phil. Mag., Vol. 4, pp. 208-223
  4. Humphrey, J. A. C., Taylor, A. M. K. and Whitelaw, J. H., 1977, 'Laminar Flow in a Square Duct of Strong Curvature,' J. Fluid Mech., Vol. 83, pp. 509-527 https://doi.org/10.1017/S0022112077001311
  5. Winters, K. H., 1987, 'A Bifurcation Study of Laminar Flow in a Curved tube of Rectangular Cross-section,' J. Fluid Mech., Vol. 180, pp. 343-369 https://doi.org/10.1017/S0022112087001848
  6. Berger, S. A., Tabolt, L. and Yao, L.-S., 1983, 'Flow in Curved Pipes,' Ann. Rev. Fluid Mech., Vol. 15, pp. 461-512 https://doi.org/10.1146/annurev.fl.15.010183.002333
  7. Thangam, S. and Hur, N., 1990, 'Laminar Secondary Flows in Curved Rectangular Ducts,' J. Fluid Mech., Vol. 217, pp. 421-440 https://doi.org/10.1017/S0022112090000787
  8. Baek, J. H. and Ko, C. H., 2000, 'Numerical Flow Analysis in a Rotating Square Duct and a Rotating Curved Duct,' Int. J. Rotating Machinery, Vol. 6, pp. 1-9 https://doi.org/10.1155/S1023621X00000014
  9. Baura, S. N., 1954, 'Secondary Flow in a Rotating Straight Pipe,' Proc. R. Soc. Lond., Vol. 227, pp. 133-139
  10. Ito, H., 1959, 'Friction Factors for Turbulent Flow in Curved Pipes,' J. Basic Eng., Vol. 81, pp. 123-134
  11. Soh, W. Y. and Berger, S. A., 1987, 'Fully Developed Flow in a Curved Pipe of Arbitrary Curvature Ratio,' Int. J. Num. Methods Fluids, Vol. 7, pp. 733-755 https://doi.org/10.1002/fld.1650070705
  12. Cheng, K. C. and Akiyama, M., 1970, 'Laminar Forced Convection Heat Transfer in Curved Rectangular Channels,' Int. J. Heat Mass Transfer, Vol. 13, pp. 471-490 https://doi.org/10.1016/0017-9310(70)90144-4
  13. Ghia, K. N. and Sokhey, J. S., 1977, 'Laminar Incompressible Viscous Flow in Curved Ducts of Regular Cress-Sections,' J. Fluids Eng., Vol. 99, pp. 640-648