Abstract
In this article, we study the dynamic response of a soap film under continuous electromagnetic forcing. The dynamics presented here describe the forcing of a monopole vortex during its generation at the center of the film. This response is quantified by the dimensionless Reynolds and Chandrasekhar numbers. When Chandrasekhar number reaches values near 800, Reynolds number reaches a damping rate. An analysis of the kinetic energy throughout the film shows that its response can be explained by Gibbs and Marangoni elasticity. Upon small forcing, the film shows an fast response after which it maintains its initial speed at all times (Marangoni). For a large forcing however, the speed of the film increases continuously throughout the experiment (Gibbs).
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Burgess JM, Bizon C, McCormick WD, Swift JB, Swinney HL (1999) Instability of the Kolmogorov flow in a soap film. Phys Rev E 60(1):715–721
Carton XJ, Flierl GR, Polvani LM (1989) The generation of tripoles from unstable axisymmetric isolated vortex structures. Europhys Lett 9:339–344
Cardoso O, Marteau D, Tabeling P (1994) Quantitative experimental study of the free decay of quasi-two-dimensional turbulence. Phys Rev E 49:454
Couder Y (1984) Two-dimensional grid turbulence in a thin liquid film. Physique Lett 45:353–360
Couder Y, Chomaz JM, Rabaud M (1989) On the hydrodynamics of soap films. Physica D 37:384–405
Cruz-Gómez RC, Zavala Sansón L, Pinilla MA (2013) Generation of isolated vortices in a rotating fluid by means of an electromagnetic method. Exp Fluids 54:1582–1587
Chomaz JM, Cathalau B (1990) Soap films as two-dimensional fluids. Phys Rev A 41(4):2243–2245
Jean-Marc Chomaz (2001) The dynamics of viscous soap film with soluble surfactant. J Fluid Mech 442:387–409
Davidson PA (2001) An introduction to magnetohydrodynamics. Cambridge University Press, USA
Duran-Matute M, Trieling RR, van Heijst GJF (2011) Scaling and asymmetry in an electromagnetically forced dipolar flow structure. Phys Rev E 83(016306):1–6
Figueroa A, Demiaux F, Cuevas S, Ramos E (2009) Electrically driven vortices in a weak dipolar magnetic field in a shallow electrolytic layer. J Fluid Mech 641:245–262
Paret J, Tabeling P (1997) Experimental observation of the two-dimensional inverse energy cascade. Phys Rev Lett 79:4162–4165
Ponomarev VM, Khapaev AA, Yakushkin IG (2009) Nonlinear Ekman friction and asymmetry in geophysical flows. Geophysics 425A–03:510–515
Rivera M, Vorobieff P, Ecke RE (1998) Turbulence in flowing soap films: velocity, vorticity and thickness field. Phys Rev Lett 81(7):1417–1420
Riviera M, Wu LX (2000) External dissipation in driven two-dimensional turbulence. Phys Rev Lett 85(1):976–979
Shakeel T, Vorobieff P (2007) Decaying turbulence in soap films: energy and enstrophy evolution. Exp Fluids 43:125–133
van Heijst GJF, Clercx HJH (2009) Laboratory modeling of geophysical vortices. Annu Rev Fluid Mech 41:143–164
Vorobieff P, Rivera M, Ecke RE (2001) Imaging 2D turbulence. J Vis 3:323–330
Acknowledgments
Firstly, the author is grateful to the Geophysical Fluid Dynamics Laboratory of Guadalajara University and to the physics student Carlos F. Alaniz Fabian for his aid during the experiments and the traslation of the manuscript. I appreciate the valuable contributions and suggestions from the anonymous reviewers. The author thank to Dr. Thomas Gorin for his thorough review of the manuscript.
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Gómez, R.C.C. Response of a soap film to a continuous electromagnetic forcing. J Vis 20, 87–95 (2017). https://doi.org/10.1007/s12650-016-0372-8
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DOI: https://doi.org/10.1007/s12650-016-0372-8