Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-03T00:21:27.206Z Has data issue: false hasContentIssue false

Vortex–leading-edge interaction

Published online by Cambridge University Press:  20 April 2006

Samir Ziada
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pa. 18015, U.S.A. Present address: Lab. for vibrations and acoustics, Sulzer Bros, Winterthur, Switzerland.
Donald Rockwell
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pa. 18015, U.S.A.

Abstract

Visualization of successive vortices impinging upon the leading edge of a wedge reveals patterns of deformation of each incident vortex; for certain offsets of the edge with respect to the incident vortex there is pronounced vortex shedding from the leading edge, whereby the shed vortex has a vorticity orientation opposite to that of the incident vortex.

Simultaneous consideration of this visualization interaction and the force induced on the wedge gives the relation between the nature of the interaction mechanism and the relative magnitude and phase of the force exerted on the wedge. The amplitude of the induced force is found to be a strong function of the transverse offset of the leading edge with respect to the incident vortex and the degree of vorticity shedding from the leading edge. Application of Stuart's vortex model to the incident vortices provides a means for approximating the phase and relative amplitude of the induced force as a function of the transverse offset of the leading edge.

Type
Research Article
Copyright
© 1982 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

Conlisk, T. & Rockwell, D. 1981 Modelling of vortex-corner interaction using point vortices. Submitted for publication.
Crighton, D. G. 1975 Basic principles of aerodynamic noise generation. Prog. Aero. Sci. 16, 31.Google Scholar
Robertson, J. M. 1965 Hydrodynamics in Theory and Application. Prentice-Hall.
Rockwell, D. & Knisely, C. 1979 The organized nature of flow impingement upon a corner. J. Fluid Mech. 93, 413.Google Scholar
Rockwell, D. & Naudascher, E. 1979 Self-sustained oscillations of impinging free shear layers. Ann. Rev. Fluid Mech. 11, 67.Google Scholar
Rogler, H. 1974 A mechanism of vorticity segregation. Bull. Am. Phys. Soc. Ser. II, 19, 1165.
Rogler, H. 1978 The interaction between vortex-array representations of free-stream turbulence and semi-infinite flat plates. J. Fluid Mech. 87, 3, 583.Google Scholar
Stuart, J. T. 1967 On finite amplitude oscillations in laminar mixing layers. J. Fluid Mech. 29, 417.Google Scholar
Ziada, S. 1981 Self sustained oscillations of a mixing layer-edge system. Ph.D. dissertation, Mech. Engng Dept, Lehigh University.
Ziada, S. & Rockwell, D. 1981 Oscillations of an unstable mixing layer impinging upon an edge. Submitted for publication.