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Fritzsche B, Mutschke G, Meinel TJ, Yang X, Lei Z, Eckert K. Oscillatory surface deformation of paramagnetic rare-earth solutions driven by an inhomogeneous magnetic field. Phys Rev E 2020; 101:062601. [PMID: 32688567 DOI: 10.1103/physreve.101.062601] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/13/2020] [Accepted: 05/14/2020] [Indexed: 11/07/2022]
Abstract
The deformation of the free surface of a paramagnetic liquid subjected to a nonuniform magnetic field is studied. A transient deformation of the surface caused by the interplay of gravity, magnetic field, and surface tension is observed when a permanent magnet is moved vertically downward to the free surface of the liquid. Different concentrations of rare-earth-metal salt (DyCl_{3}) are used and different magnet velocities are studied. The deformation of the interface is followed optically by means of a microscope and recorded with a high-speed camera. The experimental results are compared and discussed with complementary numerical simulations. Detailed results are given for the static shape of the deformed surface and the temporal evolution of the surface deformation below the center of the magnet. The frequency of the surface oscillations is found to depend on the concentration of the salt and is compared with analytical findings. Finally, a potential application of the effects observed is presented.
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Affiliation(s)
- B Fritzsche
- Institute of Process Engineering and Environmental Technology, Technische Universität Dresden, 01062 Dresden, Germany
| | - G Mutschke
- Helmholtz-Zentrum Dresden-Rossendorf, Institute of Fluid Dynamics, Bautzener Landstrasse 400, 01328 Dresden, Germany
| | - T J Meinel
- Institute of Process Engineering and Environmental Technology, Technische Universität Dresden, 01062 Dresden, Germany
| | - X Yang
- Institute of Process Engineering and Environmental Technology, Technische Universität Dresden, 01062 Dresden, Germany.,Helmholtz-Zentrum Dresden-Rossendorf, Institute of Fluid Dynamics, Bautzener Landstrasse 400, 01328 Dresden, Germany
| | - Z Lei
- Institute of Process Engineering and Environmental Technology, Technische Universität Dresden, 01062 Dresden, Germany.,Helmholtz-Zentrum Dresden-Rossendorf, Institute of Fluid Dynamics, Bautzener Landstrasse 400, 01328 Dresden, Germany
| | - K Eckert
- Institute of Process Engineering and Environmental Technology, Technische Universität Dresden, 01062 Dresden, Germany.,Helmholtz-Zentrum Dresden-Rossendorf, Institute of Fluid Dynamics, Bautzener Landstrasse 400, 01328 Dresden, Germany
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Huang M, Marinaro G, Yang X, Fritzsche B, Lei Z, Uhlemann M, Eckert K, Mutschke G. Mass transfer and electrolyte flow during electrodeposition on a conically shaped electrode under the influence of a magnetic field. J Electroanal Chem (Lausanne) 2019. [DOI: 10.1016/j.jelechem.2019.04.043] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Mühlenhoff S, Mutschke G, Uhlemann M, Yang X, Odenbach S, Fröhlich J, Eckert K. On the homogenization of the thickness of Cu deposits by means of MHD convection within small dimension cells. Electrochem commun 2013. [DOI: 10.1016/j.elecom.2013.09.025] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022] Open
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Koschichow D, Mutschke G, Yang X, Bund A, Fröhlich J. Numerical simulation of the onset of mass transfer and convection in copper electrolysis subjected to a magnetic field. RUSS J ELECTROCHEM+ 2012. [DOI: 10.1134/s1023193512060067] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Mutschke G, Tschulik K, Weier T, Uhlemann M, Bund A, Fröhlich J. On the action of magnetic gradient forces in micro-structured copper deposition. Electrochim Acta 2010. [DOI: 10.1016/j.electacta.2010.08.046] [Citation(s) in RCA: 49] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Mutschke G, Hess A, Bund A, Fröhlich J. On the origin of horizontal counter-rotating electrolyte flow during copper magnetoelectrolysis. Electrochim Acta 2010. [DOI: 10.1016/j.electacta.2009.10.015] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Flach S, Mutschke G. Slow relaxation and phase space properties of a conservative system with many degrees of freedom. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1994; 49:5018-5024. [PMID: 9961823 DOI: 10.1103/physreve.49.5018] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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