Abstract
In this paper we describe 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 center 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 centers and of the period of one revolution around the center 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 center of the domain along a curved but not smooth trajectory due to the interaction of the monopole and the wall-induced vorticity.
Original language | English |
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Pages (from-to) | 2393-2399 |
Number of pages | 7 |
Journal | Physics of Fluids |
Volume | 8 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1996 |