Motion of a two-dimensional monopolar vortex in a bounded rectangular domain

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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.

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