DOI QR코드

DOI QR Code

Three-dimensional vortex structure near a corner of a translating plate

병진운동하는 평판의 모서리에서의 3차원 와류 구조 가시화

  • Received : 2015.03.27
  • Accepted : 2015.04.20
  • Published : 2015.04.30

Abstract

Three-dimensional vortex structures in the corner region of translating normal plates are visualized experimentally with defocusing digital particle image velocimetry. Vortex formation processes for three plates with corner angle $60^{\circ}$, $90^{\circ}$, and $120^{\circ}$ are compared in order to study the effect of corner shape on vortex formation. In all cases, the self-induction of the starting vortex and its interaction with the potential flow induced by the moving plate cause the vortex to change its form dynamically after the plate starts to translate. While the vortex near a corner follows the plate in the low corner angle of $60^{\circ}$, the vortex separates early from the plate and its forward motion becomes slow in the high corner angle of $120^{\circ}$. It is also found that the starting vortex can transport inward at the corner, which depends on the corner angle.

Keywords

References

  1. Prandtl, L. and Tietjens, O.G., 1934, Applied Hydroand Aeromechanics, McGraw-Hill, NewYork and London.
  2. Saffman, P. G., 1995, Vortex Dynamics, Cambridge University Press, Cambridge.
  3. Lugt, H. J., 1996, Introduction to Vortex Theory, Vortex Flow Press, Potomac.
  4. Pullin, D. I., 1978, "Large-Scale Structure of Unsteady Self-Similar Rolled-up Vortex Sheets," J. Fluid Mech. 88, 401. https://doi.org/10.1017/S0022112078002189
  5. Pullin, D. I. and Perry, A. E., 1980, "Some Flow Visualization Experiments on the Starting Vortex," J. Fluid Mech. 97, 239. https://doi.org/10.1017/S0022112080002546
  6. Gharib, M., Rambod, E., Kheradvar, A., Sahn, D. J., and Dabiri, J. O., 2006, "Optimal vortex formation as an index of cardiac health," Proc. Nat. Acad. Sci. 103, 6305. https://doi.org/10.1073/pnas.0600520103
  7. Dabiri, J. O. and Gharib, M., 2005, "The role of optimal vortex formation in biological fluid transport," Proc. R. Soc. London, Ser. B 272, 1557. https://doi.org/10.1098/rspb.2005.3109
  8. Milano, M. and Gharib, M., 2005, "Uncovering the physics of flapping flat plates with artificial evolution," J. Fluid Mech. 534, 403. https://doi.org/10.1017/S0022112005004842
  9. von Ellenrieder, K. D., Parker, K., and Soria, J., 2003, "Flow structures behind a heaving and pitching finite-span wing," J. Fluid Mech. 490, 129. https://doi.org/10.1017/S0022112003005408
  10. Buchholz, J. H. J. and Smits, A. J., 2006, "On the evolution of the wake structure produced by a low-aspect-ratio pitching panel," J. Fluid Mech. 546, 433.
  11. Willert, C. E. and Gharib, M., 1992, "Threedimensional particle imaging with a single caemra," Exps. Fluids 12, 353. https://doi.org/10.1007/BF00193880
  12. Pereira, F. and Gharib, M., 2002, "Defocusing digital particle image velocimetry and the threedimensional characterization of two-phase flows," Meas. Sci. Technol. 13, 683. https://doi.org/10.1088/0957-0233/13/5/305
  13. Pereira, F., Stuer H., Graff, E. C., and Gharib, M., 2006, "Two-frame 3D particle tracking," Meas. Sci. Technol. 17, 1680. https://doi.org/10.1088/0957-0233/17/7/006
  14. Batchelor, G. K., 1967, An introduction to fluid dynamics, Cambridge university press.