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The motion of two-dimensional vortex pairs in a ground effect

Published online by Cambridge University Press:  12 April 2006

Steven J. Barker
Affiliation:
School of Engineering and Applied Science, University of California, Los Angeles
Steven C. Crow
Affiliation:
School of Engineering and Applied Science, University of California, Los Angeles

Abstract

A new technique for generating a pair of line vortices in the laboratory has been developed. The mean flow of these vortices is highly two-dimensional, although most of the flow field is turbulent. This two-dimensionality permits the study of vortex motions in the absence of the Crow mutual induction instability and other three-dimensional effects. The vortices are generated in a water tank of dimensions 15 × 122 × 244 cm. They propagate vertically and their axes span the 15 cm width of the tank. One wall of the tank is transparent, and the flow is visualized using fluorescein dye. High speed photography is used to study both the transition to turbulence during the vortex formation process and the interaction of the turbulent vortices with a simulated ground plane.

Transition occurs first in an annular region surrounding the core of each vortex, starting with a shear-layer instability on the rolled-up vortex sheet. The turbulent region then grows both radially inwards and radially outwards until the entire recirculation cell is turbulent. A ‘relaminarization’ of the vortex core appears to take place somewhat later.

The interaction of the vortex pair with the ground plane does not follow the predictions of potential-flow theory for line vortices. Although the total circulation is apparently conserved, the vortices remain at a larger distance from the ground than is expected and eventually ‘rebound’ or move away from the ground. Differences between a free-surface boundary condition and a smooth or rough ground plane are discussed. The ground-plane interaction is qualitatively very similar to that of aircraft trailing vortices observed in recent flight tests.

Type
Research Article
Copyright
© 1977 Cambridge University Press

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References

Baker, G. R., Barker, S. J., Bofah, K. K. & Saffman, P. G. 1974 J. Fluid Mech. 65, 325.Google Scholar
Brown, G. L. & Roshko, A. 1974 J. Fluid Mech. 64, 775.Google Scholar
Caiger, B. & Gould, D. 1971 An analysis of flight measurements in the wake of a jet transport aircraft. In Aircraft Wake Turbulence and its Detection (ed. Olsen), p. 125. Plenum.Google Scholar
Chevalier, H. 1973 J. Aircraft 10, 14.Google Scholar
Crow, S. C. 1970 A.I.A.A. J. 8, 2172.Google Scholar
Crow, S. C. 1975 The stability of vortex cores. Poseidon Res. Note no. 4.Google Scholar
Lamb, H. 1932 Hydrodynamics, 6th edn, p. 223. Dover.Google Scholar
Lezius, D. 1973 Study of the far wake vortex field generated by a rectangular airfoil in a water tank. A.I.A.A. Paper no. 73–682.Google Scholar
Mason, H. & Marchman, J. 1972 The farfield structure of aircraft wake turbulence. A.I.A.A. Paper no. 72–40.Google Scholar
Maxworthy, T. 1974 J. Fluid Mech. 64, 227.Google Scholar
Miller, E. & Brown, C. 1971 An experimental study of trailing vortex wakes using a large towing tank. Hydronautics Tech. Rep. no. 7105–1.Google Scholar
Orloff, K. & Grant, G. 1973 The application of a scanning laser-Doppler velocimeter to trailing vortex definition and alleviation. A.I.A.A. Paper no. 73–680.CrossRefGoogle Scholar
Saffman, P. G. 1973 Phys. Fluids 16, 1181.Google Scholar
Spreiter, J. R. & Sacks, A. H. 1951 J. Aero. Sci. 18, 21.Google Scholar
Tombach, I. H., Crow, S. C. & Bate, E. R. 1975 Investigation of vortex wake stability near the ground. Aerovironment, Inc., Final Rep. AV FR 538.Google Scholar