Motion of a two-dimensional monopolar vortex
in a bounded rectangular domain
J.H.G.M. van Geffen, V.V. Meleshko and G.J.F. van Heijst
Physics of Fluids 8, 2393-2399 (1996)
In this paper we describes results of a study
of the two-dimensional motion of a distributed monopolar vortex in
a viscous incompressible fluid in a bounded rectangular domain
with free-slip and no-slip boundary conditions.
In the case of free-slip walls the motion of the vortex centre can be
satisfactorily modelled by a single point vortex in an inviscid fluid.
Comparison of the results of both models reveals a good
quantitative agreement for the trajectories of the vortex centres
and of the period of one revolution around the centre of the domain,
for moderate viscous effects (Re=1000 and more).
In a domain with no-slip walls the distributed monopolar vortex moves to
the centre of the domain along a curved but not smooth trajectory due to
the interaction of the monopole and the wall-induced vorticity.
II. Models for the vortex motion in a rectangular domain
III. Results for a domain with free-slip walls
IV. Results for a domain with no-slip walls
A. Motion of a Bessel monopole
B. Motion of a Rankine monopole
C. Motion of a Gaussian monopole
Full paper (627kB)
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