Steady-state flows of inviscid incompressible fluid and related particle dynamics in rectangular channels

V Govorukhin, I Zhdanov - European Journal of Mechanics-B/Fluids, 2018 - Elsevier
In this paper, we investigate inviscid incompressible fluid flow in a 2D channel of finite length
described by Euler's equation with Yudovich's boundary conditions. A border of the channel …

Hollow vortices in shear

L Zannetti, M Ferlauto, SGL Smith - Journal of Fluid Mechanics, 2016 - cambridge.org
Hollow vortices in shear Page 1 J. Fluid Mech. (2016), vol. 809, pp. 705–715. c Cambridge
University Press 2016 doi:10.1017/jfm.2016.697 705 Hollow vortices in shear Luca Zannetti …

[PDF][PDF] Mathematical techniques for free boundary problems with multiple boundaries

C Green - 2013 - ma.imperial.ac.uk
In this thesis, we study six different free boundary problems arising in the field of fluid
mechanics, and the mathematical methods used to solve them. The free boundary problems …

Analytical solutions for two hollow vortex configurations in an infinite channel

CC Green - European Journal of Mechanics-B/Fluids, 2015 - Elsevier
New analytical solutions for a co-travelling hollow vortex pair and a single row of hollow
vortices in an infinite channel are presented. These new solutions generalise several known …

[图书][B] The Sadovskii Vortex

DV Freilich - 2016 - search.proquest.com
The point vortex has been used as a simple model for flows with circulation, and has been
desingularized into vortex patches and vortex sheets. In this work, we investigate the steady …