Velocity Induced by a Plane Uniform Vortex Having the Schwarz Function of Its Boundary with Two Simple Poles
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-40, 40 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-01-28
Country of Publication
Egypt
No. of Pages
40
Main Subjects
Abstract EN
The velocity induced by a plane, uniform vortex is investigated through the use of an integral relation between Schwarz function of the vortex boundary and conjugate of the velocity.
The analysis is restricted to a certain class of vortices, the boundaries of which are described through conformal maps onto the unit circle and the corresponding Schwarz functions possess two poles in the plane of the circle.
The dependence of the velocity field on the vortex shape is investigated by comparing velocity and streamfunction with the ones of the equivalent Rankine vortex (which has the same vorticity, area, and center of vorticity).
By changing the parameters of the Schwarz function (poles and corresponding residues), rather complicated vortex shapes can be easily analyzed, some of them mimicing an incipient filamentation of the vortex boundary.
American Psychological Association (APA)
Riccardi, G.& Durante, D.. 2009. Velocity Induced by a Plane Uniform Vortex Having the Schwarz Function of Its Boundary with Two Simple Poles. Journal of Applied Mathematics،Vol. 2008, no. 2008, pp.1-40.
https://search.emarefa.net/detail/BIM-482960
Modern Language Association (MLA)
Riccardi, G.& Durante, D.. Velocity Induced by a Plane Uniform Vortex Having the Schwarz Function of Its Boundary with Two Simple Poles. Journal of Applied Mathematics No. 2008 (2008), pp.1-40.
https://search.emarefa.net/detail/BIM-482960
American Medical Association (AMA)
Riccardi, G.& Durante, D.. Velocity Induced by a Plane Uniform Vortex Having the Schwarz Function of Its Boundary with Two Simple Poles. Journal of Applied Mathematics. 2009. Vol. 2008, no. 2008, pp.1-40.
https://search.emarefa.net/detail/BIM-482960
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482960