Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-19T10:50:12.206Z Has data issue: false hasContentIssue false

Some flow visualization experiments on the starting vortex

Published online by Cambridge University Press:  19 April 2006

D. I. Pullin
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Parkville, Victoria, 3052 Australia
A. E. Perry
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Parkville, Victoria, 3052 Australia

Abstract

A simple dye in water method has been used to visualize the growth of a two-dimensional starting flow vortex formed at a wedge-like sharp edge. Several cases were tested corresponding to different wedge angles and to different values of the time exponent in the velocity–time power law describing the starting flow. Photographic sequences showing the time-wise primary vortex growth are presented from which various secondary-flow details are identified. For the larger wedge angles these include a strong secondary vortex and in some cases a small separation bubble-like flow region immediately adjacent to the wedge apex. For a thin-wedge model the formation of what might be interpreted as small rotation centres along the outer turns of the primary-vortex shear layer is observed but these are not seen as a manifestation of an instability phenomenon in the fluid. Measurements of the trajectories of the primary-vortex centre are compared with the predictions of an inviscid similarity theory of the vortex growth. Although the appropriate Reynolds number in the present experiments was relatively low, comparison between theory and experiments is regarded as reasonable with differences being attributed to viscous effects absent in the similarity theory, and also to apparatus wall effects.

Type
Research Article
Copyright
© 1980 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K. 1970 An Introduction to Fluid Dynamics. Cambridge University Press.
Blendermann, W. 1969 Der Spiral-Wirbel am translatorisch bewegten Kreisbogenpronl; Structur, Bewegung und Reaktion. Schiffstechnik, 16, 314.Google Scholar
Evans, R. A. & Bloor, M. I. G. 1977 The starting mechanism of wave-induced flow through a sharp edged orifice. J. Fluid Mech. 82, 115128.Google Scholar
Kama, F. R. 1962 Streaklines in a perturbed shear flow. Phys. Fluids 5, 644650.Google Scholar
Howard, L. N. & Matthews, D. L. 1956 On the vortices produced in shock diffraction. J. Appl. Phys. 27, 223231.Google Scholar
Moore, D. W. 1975 The stability of an evolving two-dimensional vortex sheet. Mathematika 23, 128133.Google Scholar
Moore, D. W. & Saffman, P. G. 1973 Axial flow in laminar trailing vortices. Proc. Roy. Soc. A 333, 491508.Google Scholar
Perey, A. E. & Fatrlie, B. D. 1974 Critical pointe in flow patterns. Adv. Geophys. 18, 299315.Google Scholar
Pierce, D. 1961 Photographic evidence of the formation and growth of vorticity behind plates accelerated from rest in still air. J. Fluid Mech. 11, 460464.Google Scholar
Pullin, D. I. 1978 The large-scale structure of unsteady self-similar rolled-up vortex sheets. J. Fluid Mech. 88, 401430.Google Scholar
Pullin, D. I. 1979 Vortex formation at tube and orifice openings. Phys. Fluids 22, 401403.Google Scholar
Reichenbach, H. & Merzkirch, W. 1964 Untersuchungon über das Ähnlichkeitsverhalten einer interstationaren Wirbelspirale. Z. Flugwiss. 12, 219221.Google Scholar
Rott, N. 1956 Diffraction of a weak shock with vortex generation. J. Fluid Mech. 1, 111128.Google Scholar
Saffmann, P. G. 1978 The number of waves on unstable vortex rings. J. Fluid Mech. 84, 625639.Google Scholar
Smith, J. H. B. 1966 Improved calculations of leading-edge separation from slender delta wings. R.A.E. Tech. Rep. no. 66070.
Thompson, D. H. 1975 A water tunnel study of vortex breakdown, over wings with highly swept edges. Australian Defence Scientific Service Aeronaut. Res. Lab. Aerodyn. Note 356.
Wedemeyer, E. 1956 Ausbildung eines Wirbelpaares an den Kanten einer Platte. Max-Planck-Institut für Strömungsforschung, Göttingen, Bericht 56/B/06.