Abstract
A transient current density analysis is carried out for the type II superconductor (SC) material MgB2 in liquid Helium. Variable magnetic fields are used as the unknown in solving the curl-curl relations of the electromagnetic fields applying the finite element method (FEM) for 2D axis symmetric cylindrical wires. Assuming an exponential current rise, the magnetic flux, current density and temperature distribution in the SC and He are calculated. This study gives the limiting current values to avoid the normal state, the temperature distribution profile with time as well as the changes in the magnitude of the current and time constant. Oscillations and non-uniform temperature distributions are observed in He and in the SC respectively if one varies the parameters which are related to the different heat transfer mechanisms. A slight instability in the current distribution is also observed which might transfer to a thermal instability, i.e. could signal He boiling.
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J. Nagamatsu, N. Nakagawa, T. Muranaka, Y. Zenitani, J. Akimitsu, Nature 410, 63 (2001)
M. Tomsic et al., Int. J. Appl. Ceram. Technol. 4, 250–259 (2007)
C.P. Bean, Phys. Rev. Lett. 8, 250 (1962)
S.J. Chapman, SIAM Rev. 42, 555 (2000)
R. Pecher, M.D. McCulloch, S.J. Chapman, L. Prigozhin, C.M. Elliotth, in EUCAS 2003: 6th European Conf. on Applied Superconductivity (2003)
M. Zhang, K. Matsuda, T.A. Coombs, J. Appl. Phys. 112, 043912 (2012)
T. Oka, H. Seki, J. Ogawa, S. Fukui, T. Sato, K. Yokoyama, IEEE Trans. Appl. Supercond. 21, 3356 (2011)
H. Fujishiro, T. Naito, K. Kakehata, Y. Yanagi, Y. Itoh, Supercond. Sci. Technol. 23, 025013 (2010)
V.R. Romanovskii, Open Appl. Phys. J. 5, 10 (2012)
M.D. Sumption, E.W. Collings, Physica C 401, 66 (2004)
R. Brambilla, F. Grilli, L. Martini, Supercond. Sci. Technol. 20, 16 (2007)
Z.X. Shi et al., Supercond. Sci. Technol. 23, 045018 (2010)
Comsol Multiphysics: Superconducting wire solve with Comsol Multiphysics, 3.5a (2008)
K.R. Efferson, J. Appl. Phys. 40, 1995 (1969)
P. Zhang, M. Murakami, R.Z. Wang, Exp. Heat Transf. 14, 315 (2001)
L. Drenser, Stability of Superconductors (Plenum, New York, 1995)
J. Ekin, Experimental Techniques for Low-Temperature Measurements: Cryostat Design (Oxford University Press, London, 2006)
V.R. Romanovskii, Supercond. Sci. Technol. 23, 025020 (2010)
V.A. Altov et al., Cryogenics 21(9), 513 (1981)
M. Zhang, T.A. Coombs, Supercond. Sci. Technol. 25, 015009 (2012)
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Jaim, H.M.I., Bärner, K. Transient Electromagnetic and Heat Transfer Characteristics of the MgB2 Superconductor in Liquid Helium. J Low Temp Phys 172, 84–93 (2013). https://doi.org/10.1007/s10909-012-0851-9
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DOI: https://doi.org/10.1007/s10909-012-0851-9