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Oscillatory States in Thermal Convection of a Paramagnetic Fluid in a Cubical Enclosure Subjected to a Magnetic Field Gradient

** Oscillatory States in Thermal Convection of a Paramagnetic Fluid in a Cubical Enclosure Subjected to a Magnetic Field Gradient**, S. Kenjeres, L. Pyrda, W. Wrobel, E. Fornalik-Wajs, and J. S. Szmyd.

*Physical Review E*

**2012**,

*85*(4, 2), 046312.

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### Abstract

We report experimental and numerical studies of combined natural and magnetic convection of a paramagnetic fluid inside a cubical enclosure heated from below and cooled from above and subjected to a magnetic field gradient. Values of the magnetic field gradient are in the range 9 <= vertical bar grad vertical bar b(0)vertical bar(2)vertical bar <= 900 T-2/m for imposed magnetic field strengths in the center of the superconducting magnet bore of 1 <= vertical bar b(0)vertical bar(max) <= 10 T. Very good agreement between experiments and simulation is obtained in predicting the integral heat transfer over the entire range of working parameters (i.e., thermal Rayleigh number 1.15 x 10(5) <= Ra-T <= 8 x 10(6), Prandtl number 5 <= Pr <= 700, and magnetization number 0 <= gamma <= 58.5). We present a stability diagram containing three characteristic states: steady, oscillatory (periodic), and turbulent regimes. The oscillatory states are identified for intermediate values of Pr (40 <= Pr <= 70) and low magnetic field (vertical bar b(0)vertical bar(max) <= 2 T). Turbulent states are generated from initially stable flowand heat transfer regimes in the range of 70 <= Pr <= 500 for sufficiently strong magnetic field (vertical bar b(0)vertical bar(max) <= 4 T).

### BibTeX

@article{ ISI:000303118900007, Author = {Kenjeres, S. and Pyrda, L. and Wrobel, W. and Fornalik-Wajs, E. and Szmyd, J. S.}, Title = {Oscillatory States in Thermal Convection of a Paramagnetic Fluid in a Cubical Enclosure Subjected to a Magnetic Field Gradient}, Journal = {Physical Review E}, Year = {2012}, Volume = {85}, Number = {4, 2}, Month = {}, Abstract = {We report experimental and numerical studies of combined natural and magnetic convection of a paramagnetic fluid inside a cubical enclosure heated from below and cooled from above and subjected to a magnetic field gradient. Values of the magnetic field gradient are in the range 9 <= vertical bar grad vertical bar b(0)vertical bar(2)vertical bar <= 900 T-2/m for imposed magnetic field strengths in the center of the superconducting magnet bore of 1 <= vertical bar b(0)vertical bar(max) <= 10 T. Very good agreement between experiments and simulation is obtained in predicting the integral heat transfer over the entire range of working parameters (i.e., thermal Rayleigh number 1.15 x 10(5) <= Ra-T <= 8 x 10(6), Prandtl number 5 <= Pr <= 700, and magnetization number 0 <= gamma <= 58.5). We present a stability diagram containing three characteristic states: steady, oscillatory (periodic), and turbulent regimes. The oscillatory states are identified for intermediate values of Pr (40 <= Pr <= 70) and low magnetic field (vertical bar b(0)vertical bar(max) <= 2 T). Turbulent states are generated from initially stable flowand heat transfer regimes in the range of 70 <= Pr <= 500 for sufficiently strong magnetic field (vertical bar b(0)vertical bar(max) <= 4 T).}, DOI = {10.1103/PhysRevE.85.046312}, Pages = {046312}, ISSN = {1539-3755}, ResearcherID-Numbers = {Kenjeres, Sasa/A-2064-2011 Fornalik-Wajs, Elzbieta/C-6551-2013}, Unique-ID = {ISI:000303118900007}, }

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