Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN En Línea: 2152-5110

Volumes:
Volumen 47, 2020 Volumen 46, 2019 Volumen 45, 2018 Volumen 44, 2017 Volumen 43, 2016 Volumen 42, 2015 Volumen 41, 2014 Volumen 40, 2013 Volumen 39, 2012 Volumen 38, 2011 Volumen 37, 2010 Volumen 36, 2009 Volumen 35, 2008 Volumen 34, 2007 Volumen 33, 2006 Volumen 32, 2005 Volumen 31, 2004 Volumen 30, 2003 Volumen 29, 2002 Volumen 28, 2001 Volumen 27, 2000 Volumen 26, 1999 Volumen 25, 1998 Volumen 24, 1997 Volumen 23, 1996 Volumen 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v28.i1-2.140
pages 185-195

Dynamics of a Vortex in an Angular Region and within a Cross Groove

V. O. Gorban
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
I. M. Gorban
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

SINOPSIS

The paper deals with a numerical simulation of behaviour of two-dimensional stationary vortices in the near-wall flow that develops either in an angular region or within a cross groove. The model of ideal incompressible fluid is used. The complex potential of flow is determined by conformal transformation of physical area into the upper half-plane of auxiliary plane. The strength and coordinates of the stationary vortices were obtained against geometrical parameters that characterize the flow area. The stationary vortex was shown to have characteristic eigenfrequency. It corresponds to the frequency of the vortex precession about the stationary point under small departure of the vortex from its equilibrium. Due to eigenfrequency, both the stationary vortex and the local separation zone generated by that respond selectively on periodic perturbations of the free-stream velocity. These external disturbances cause departure of the vortex from its equilibrium. As a result, the vortex moves periodically along a closed trajectory of finite amplitude. Dependence of the amplitude of this motion on the frequency of external perturbations is resonant one. When the frequency of external perturbation is near the vortex eigenfrequency, the amplitude of the vortex motion increases abruptly that leads to intensification of mixing as well as to chaotization of motion in the local circulation zones generated by stationary vortices.