Affiliation:
1. Virginia Polytechnic and State University, Blacksburg, VA 24061, USA. (e-mail: yasser@vt.edu)
Abstract
In this article, we extend the space-time analogy shared by viscous vortices to generalize the dissipation of intense vortices Vatistas and Aboelkassem (Am. Inst. Aeronaut. Astronaut. J. 44, 912 (2006)). The main objective is to layout a mathematical algorithm that can be used to transform vortices into their dissipative phase or into a steady-state counterpart via a similarity transformation to Navier–Stokes equations. The method is applied to examine the time decay of eddies that belong to the Oseen-like concentrated type of viscous vortices. The steady-state Burgers’ vortex model was used to validate the transformation approach. This analysis shows that, upon variable transformation, Burgers’ vortex model has changed into the Oseen–Lamb class of decaying vortices. The approach is simple, general, and applicable to all kinds of viscous incompressible vortices like those of Sullivan, Rott, Bellamy-Knights, Vatistas, and Scully.
Publisher
Canadian Science Publishing
Subject
General Physics and Astronomy
Reference14 articles.
1. H. Lamb. Hydrodynamics. Cambridge University Press. Cambridge. 1932.
2. G.I. Taylor. In The scientific papers of Sir Geoffrey Ingram Taylor. Vol. 2. Meteorology, oceanography and turbulent flow. Edited by G.K. Batchelor. Cambridge University Press, Cambridge. p. 96–101.
3. On the viscous core of a line vortex
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献