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Abstract <p>We present a method for generating isolated monopolar vortices by electromagnetic forcing in non-rotating tank experiments. These vortices consist of an inner core of uniform vorticity with radii <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(R_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> and an outer annulus of uniform but opposite vorticity with <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(R_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>. The acceleration of the fluid is controlled by the Lorentz force acting on a shallow layer of electrolytic fluid. A permanent magnet, positioned below the central point outside the tank, provides the magnetic field. At the same time, a radial density current is established between a central electrode and a series of electrodes of opposite polarity at the tank’s periphery. Previous work has shown that the final shape of the isolated vortex depends on the width of the outer annulus. In this paper, we show that the precise control of the impulse to accelerate the fluid determines its width in combination with the shape of the radial profile of the magnetic field strength. Our results show that with this method, it is possible to create isolated axisymmetric vortices and their subsequent transformation into triangular, square, pentagonal, and hexagonal vortices in a non-intrusive way.</p> Graphical Abstract <p></p>

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Visualization of shear-flow instability in an isolated monopolar vortex using dye and PIV

  • 期刊论文

  • 发表日期：

    2026年4月8日

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  • R. C. Cruz-Gómez,
  • J. L. García-Luna,
  • C. O. Monzón

摘要

Abstract

We present a method for generating isolated monopolar vortices by electromagnetic forcing in non-rotating tank experiments. These vortices consist of an inner core of uniform vorticity with radii \(R_{1}\) R 1 and an outer annulus of uniform but opposite vorticity with \(R_{2}\) R 2 . The acceleration of the fluid is controlled by the Lorentz force acting on a shallow layer of electrolytic fluid. A permanent magnet, positioned below the central point outside the tank, provides the magnetic field. At the same time, a radial density current is established between a central electrode and a series of electrodes of opposite polarity at the tank’s periphery. Previous work has shown that the final shape of the isolated vortex depends on the width of the outer annulus. In this paper, we show that the precise control of the impulse to accelerate the fluid determines its width in combination with the shape of the radial profile of the magnetic field strength. Our results show that with this method, it is possible to create isolated axisymmetric vortices and their subsequent transformation into triangular, square, pentagonal, and hexagonal vortices in a non-intrusive way.

Graphical Abstract