A mixture theory of electromagnetism and superconductivity
A continuum theory is introduced for mixture of fluids and elastics solids interacting with electromagnetic (E-M) fields and superconductors. Mechanical and E-M balance laws are given for mixtures consisting of N-species. Thermodynamically admissible constitutive equations are obtained for binary mi...
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| Published in | International journal of engineering science Vol. 36; no. 5-6; pp. 525 - 543 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
01.04.1998
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | A continuum theory is introduced for mixture of fluids and elastics solids interacting with electromagnetic (E-M) fields and superconductors. Mechanical and E-M balance laws are given for mixtures consisting of N-species. Thermodynamically admissible constitutive equations are obtained for binary mixtures of heat conducting elastic solids and viscous fluids. Species may be regular conductors and/or superconductors. Mixtures of two viscous fluids, a fluid and an elastic solid and two elastic solids are considered. Field equations are given for both the mixtures whose species are subject to distinct E-M fields or to the same E-M fields. |
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| AbstractList | A continuum theory is introduced for mixture of fluids and elastics solids interacting with electromagnetic (E-M) fields and superconductors. Mechanical and E-M balance laws are given for mixtures consisting of N-species. Thermodynamically admissible constitutive equations are obtained for binary mixtures of heat conducting elastic solids and viscous fluids. Species may be regular conductors and/or superconductors. Mixtures of two viscous fluids, a fluid and an elastic solid and two elastic solids are considered. Field equations are given for both the mixtures whose species are subject to distinct E-M fields or to the same E-M fields. |
| Author | Eringen, A.Cemal |
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| Cites_doi | 10.1007/BF00281489 10.1049/PBEW034E 10.1016/0020-7225(64)90001-1 10.1016/0020-7225(65)90044-3 10.1007/978-1-4612-3226-1 10.1063/1.326073 10.1103/PhysRevB.46.567 10.1016/0020-7225(94)90042-6 10.1063/1.526070 |
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| Keywords | Constitutive equation Electrodynamics Plasma Electromagnetism Thunderstorms Superconductivity Mixture theory Electrical conduction Particle suspension Binary mixtures Maxwell equations Liquid solid Thermodynamics Atmospheric dynamics Modelling Heat transfer Thermal conduction |
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| References | De Groot, S. R. and Suttorp, L. G. Kelly (BIB1) 1964; 2 Benjamin, New York, 1966 North Holland, Amsterdam, 1972 Nayfeh, Jain-I (BIB6) 1979; 50 Eringen, A. C. Vol. I, ed. A. A. Galeev and R. N. Sudan. North Holland, Amsterdam, 1983, pp. 122 Texas A&M University, 1993 Eringen, Ingram (BIB9) 1965; 3 Edelen, D. G. B. deGennes, P. G. Bowen, R. M., in Suyazov (BIB4) 1971; 2 Benach, Muller (BIB5) 1973; 53 Vol. III, ed. A. C. Eringen. Academic Press, New York, 1976, p. 26 Kulsrud, R. M., in Eringen, A. C. and Maugin, G. A. Peregrinus, England, 1991, pp. 131 Coffey (BIB7) 1992; 46 Eringen (BIB10) 1994; 8 Eringen (BIB15) 1984; 25 2nd edition. Krieger, Melbourne, FL, 1980 Vol. I. Springer, New York, 1989, pp. 38 Zhou, Shu-Ang. 10.1016/S0020-7225(97)00091-8_BIB16 10.1016/S0020-7225(97)00091-8_BIB13 Eringen (10.1016/S0020-7225(97)00091-8_BIB15) 1984; 25 10.1016/S0020-7225(97)00091-8_BIB14 10.1016/S0020-7225(97)00091-8_BIB8 Suyazov (10.1016/S0020-7225(97)00091-8_BIB4) 1971; 2 Nayfeh (10.1016/S0020-7225(97)00091-8_BIB6) 1979; 50 10.1016/S0020-7225(97)00091-8_BIB11 10.1016/S0020-7225(97)00091-8_BIB12 Coffey (10.1016/S0020-7225(97)00091-8_BIB7) 1992; 46 10.1016/S0020-7225(97)00091-8_BIB2 10.1016/S0020-7225(97)00091-8_BIB3 Eringen (10.1016/S0020-7225(97)00091-8_BIB10) 1994; 8 Kelly (10.1016/S0020-7225(97)00091-8_BIB1) 1964; 2 Eringen (10.1016/S0020-7225(97)00091-8_BIB9) 1965; 3 Benach (10.1016/S0020-7225(97)00091-8_BIB5) 1973; 53 |
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| SubjectTerms | Classical and quantum physics: mechanics and fields Classical electromagnetism, maxwell equations Classical field theories Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Multiphase and particle-laden flows Nonhomogeneous flows Physics |
| Title | A mixture theory of electromagnetism and superconductivity |
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