Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2025-01-04T05:24:58.179Z Has data issue: false hasContentIssue false
  • English
  • Français

Interaction between a vortex filament and an approaching rigid sphere

Published online by Cambridge University Press:  20 April 2006

M. R. Dhanak
M. R. Dhanak
Affiliation:
Department of Mathematics, Imperial College, London
Get access Rights & Permissions [Opens in a new window]

Abstract

The evolution of an infinitely long straight vortex filament in the presence of an approaching rigid sphere is considered. The fluid is regarded as being inviscid and incompressible. The shape of the vortex filament when the sphere is sufficiently far away from the vortex is determined approximately using linear theory. The subsequent evolution is followed numerically by integrating the nonlinear equation of motion.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 110 , September 1981 , pp. 129 - 147
Copyright
© 1981 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

Crow, S. C. 1970 A.I.A.A. J. 8, 1972.
Dhanak, M. R. 1980 Ph.D. thesis, University of London.
Ffowcs Williams, J. E. & O'Shea, S. 1970 J. Fluid Mech. 14, 257.
Fraenkel, L. E. 1970 Proc. Roy. Soc. A 316, 29.
Lamb, H. 1932 Hydrodynamics. Dover.
Lighthill, M. J. 1956 Proc. Camb. Phil. Soc. 52, 317.
Moore, D. W. 1972 Aeronaut. Quart. 23, 307.
Moore, D. W. & Saffman, P. G. 1971 Aircraft Wake Turbulence (ed. J. H. Olsen, A. Goldberg & M. Rogers), p. 339. Plenum.
Moore, D. W. & Saffman, P. G. 1972 Phil. Trans. Roy. Soc. A 272, 403.
Norbury, J. 1973 J. Fluid Mech. 57, 417.
Raja Gopal, E. S. 1963 Ann. Phys. 25, 196.
Saffman, P. G. 1970 Stud. Appl. Math. 49, 371.
Weiss, P. 1944 Proc. Camb. Phil. Soc. 40, 259.
Widnall, S. E., Bliss, D. & Zalay, A. 1971 Aircraft Wake Turbulence (ed. J. H. Olsen, A. Goldberg & M. Rogers), p. 305. Plenum.