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

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

DOI QR Code

Correlation of Wall Vorticity and Streamwise Velocity Fluctuations in a Turbulent Boundary Layer

난류경계층에서 벽와도와 유동방향 속도섭동과의 상관관계

  • Ryu, Sang-Jin (Dept.of Mechanical Aerospace Engineering, Graduate School of Seoul National University) ;
  • Kim, Seong-Uk (Dept.of Mechanical Aerospace Engineering, Graduate School of Seoul National University) ;
  • Yu, Jeong-Yeol
  • Published : 2001.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

A simultaneous measurement of wall vorticity and near-wall streamwise velocity fluctuations has been performed using a V-type wall vorticity probe and an I-type velocity probe to investigate the relation between them. Long-time averaged space-time correlations show that the wall vorticity is highly correlated with a turbulence structure which is tilted from the wall in the streamwise direction and that there is a streamwise vortex pair near the wall. It is shown that a structure correlated with the streamwise wall vorticity is smaller than and prior to a structure correlated with the spanwise wall vorticity. Tilting angles are obtained from the phase shift between the wall vorticity and streamwise velocity fluctuations. The tilting angle of the structure correlated with the streamwise wall vorticity is larger than that of the structure correlated with the spanwise wall vorticity. The convection velocity of the near-wall streamwise velocity fluctuations obtained from the space-time correlation is in good agreement with previous results.

Keywords

References

  1. Robinson, S. K., 1991, 'Coherent Motions in the Turbulent Boundary Layer,' Ann. Rev. Fluid Mech., Vol. 23, pp. 601-639 https://doi.org/10.1146/annurev.fl.23.010191.003125
  2. Gad-el-Hak, 1989, 'Flow Control,' Appl. Mech. Rev., Vol. 42, No. 10, pp. 261-293
  3. Choi, H., Moin, P. and Kim, J., 1994, 'Active Turbulence Control of Drag Reduction in Wall-Bounded Flows,' J. Fluid Mech., Vol. 262, pp. 75-110 https://doi.org/10.1017/S0022112094000431
  4. Lee, C., Kim, J. and Choi, H., 1998, 'Suboptimal Control of Turbulent Channel Flow for Drag Reduction,' J. Fluid Mech., Vol. 358, pp. 245-258 https://doi.org/10.1017/S002211209700815X
  5. Eckelmann, H., 1974, 'The Structure of the Viscous Sublayer and the Adjacent Wall Region in a Turbulent Channel Flow,' J. Fluid Mech., Vol. 65, Part 3, pp. 439-459 https://doi.org/10.1017/S0022112074001479
  6. Blackwelder, R. F. and Eckelmann, H., 1979, 'Streamwise Vortices Associated with the Bursting Phenomenon,' J. Fluid Mech., Vol. 94, Part 3, pp. 577-594 https://doi.org/10.1017/S0022112079001191
  7. Kreplin, H. and Eckelmann, H., 1979, 'Propagation of Perturbations in the Viscous Sublayer and Adjacent Wall Region,' J. Fluid Mech., Vol. 95, Part 2, pp. 305-322 https://doi.org/10.1017/S0022112079001488
  8. Alfredsson, P. H., Johansson, A. V., Haritonidis, J. H. and Eckelmann, H., 1988, 'The Fluctuating Wall-Shear Stress and the Velocity Field in the Viscous Sublayer,' Phys. Fluids, Vol. 31(5), pp. 1026-1033 https://doi.org/10.1063/1.866783
  9. Wietrzak, A. and Lueptow, R. M., 1994, 'Wall Shear Stress and Velocity in a Turbulent Axisymmetric Boundary Layer,' J. Fluid Mech., Vol. 259, pp. 191-218 https://doi.org/10.1017/S0022112094000091
  10. Kravchenko, A. G., Choi, H. and Moin, P., 1993, 'On the Relation of Near-Wall Streamwise Vortices to Wall Skin Friction in Turbulent Boundary Layers,' Phys. Fluids A, Vol. 5(12), pp. 3307-3309 https://doi.org/10.1063/1.858692
  11. 양준모, 유정열, 최해천, 1996, '난류경계층에서 벽마찰력과 유동방향 속도성분과의 상관관계(Ⅰ)-시간 평균된 공간-시간 상관관계의 분석,' 대한기계학회논문집 B, 제21권, 제1호, pp. 140-152
  12. 김성욱, 류상진, 유정열, 2000, '벽와도 측정을 위하여 개발된 V형 열선 프로브의 성능특성,' 대한기계학회논문집 B, 심사중
  13. Hinze, J. O., 1975, Turbulence, 2nd Ed. McGraw Hill, New York, pp. 98-100
  14. van Driest, E. R., 1956, 'On the Turbulent Flow Near a Wall,' J. Aero. Scien., Vol. 23, pp. 1007-1011
  15. Spalart, P. R., 1988, 'Direct Simulation of a Turbulent Boundary Layer up to $Re_v\;=\;1410$,' J. Fluid Mech., Vol. 187, pp. 61-98 https://doi.org/10.1017/S0022112088000345
  16. Mochizuki, S. and Nieuwstadt, F. T. M., 1996, 'Reynolds-Number-Dependence of the Maximum in the Streamwise Velocity Fluctuations in Wall Turbulence,' Exps. Fluids, Vol. 21, pp. 218-226 https://doi.org/10.1007/BF00191694
  17. 류상진, 1999, '경계층에서 벽와도와 유동방향 속도성분과의 상관관계,' 서울대학교 대학원 공학석사학위논문
  18. Robinson, S. K., 1991, 'The Kinematics of Turbulent Boundary Layer Structure,' NASA TM 103859
  19. Kim, J. and Hussain, F., 1993, 'Propagation Velocity of Perturbation in Turbulent Channel Flow,' Phys. Fluids A, Vol. 5, pp. 695-706 https://doi.org/10.1063/1.858653
  20. Krogstad, P.-A., Kaspersen, J. H. and Rimestad, S., 1998, 'Convection in a Turbulent in a Turbulent Boundary Layer,' Phys. Fluids, Vol. 10, No. 4, pp. 949-957 https://doi.org/10.1063/1.869617