Abstract
The problem of the diffusion of two vortices with circulations of opposite sign is considered. An asymptotic solution of the problem is constructed for large Reynolds numbers. The vortex circulation dissipation mechanism is discussed. The results of the analytic investigation are compared with the results of numerical solution of the Navier-Stokes equations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
H. Lamb, Hydrodynamics, Cambridge University Press, New York (1957).
G. C. Green, “An approximate model of vortex decay in the atmosphere,” J. Aircraft, 23, 566 (1986).
M. C. Adams and W. R. Sears, “Slender-body theory-review and extension,” J. Aeronaut. Sci., 20, No. 2, 85 (1953).
A. Dagan, “Pseudo-spectral and asymptotic sensitivity investigation of counter-rotating vortices,” Computers and Fluids, 17, 509 (1989).
G. K. Batchelor, “On steady laminar flow with closed streamlines at large Reynolds number,” J. Fluid Mech., 1, 177 (1956).
M. A. Lavrent'ev and B. V. Shabat, Hydrodynamic Problems and their MathematicalModels [in Russian], Nauka, Moscow (1977).
P. J. Roache, Computational Fluid Dynamics, Hermosa Publ., Albuquerque (1976).
T. Sarpkaya, “New model of vortex decay in the atmosphere,” J. Aircraft, 37, 53 (2000).
Rights and permissions
About this article
Cite this article
Gaifullin, A.M., Zubtsov, A.V. Diffusion of Two Vortices. Fluid Dynamics 39, 112–127 (2004). https://doi.org/10.1023/B:FLUI.0000024817.33826.8d
Issue Date:
DOI: https://doi.org/10.1023/B:FLUI.0000024817.33826.8d