Asymptotic analysis and symmetry in MHD convection
- Laboratoire EPM-Madylam, CNRS UPR A 9033, ENSHMG, BP 95, 38402 St Martin d`Heres Cedex (France)
- Commissariat a l`Energie Atomique DTA/CEREM/DEM/SES, Centre d`Etudes Nucleaires de Grenoble, 17 avenue des Martyrs, 38054 Grenoble Cedex 09 (France)
The motion of an electrically conducting fluid in the presence of a steady magnetic field is analyzed. For any non-uniform magnetic field and any non-electromagnetic driving force, a high Hartmann number asymptotic analysis is developed using curvilinear coordinates based on the magnetic field. This analysis yields the structure of the electric current density and velocity fields. In a second step, orthogonal planar symmetries lead to a significant simplification of the asymptotic structure, depending on the nature of the symmetry. The asymptotic solution is applied to some configurations, some of them corresponding to crystal growth from a melt. In the case of electrically insulating boundaries, the nature of the symmetry is found to govern the magnitude and structure of the damped velocity. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 285908
- Journal Information:
- Physics of Fluids (1994), Vol. 8, Issue 8; Other Information: PBD: Aug 1996
- Country of Publication:
- United States
- Language:
- English
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