2021/08/10 by Asher Yahalom, Yahalom, Asher
Engineering · Physics and Astronomy · #Cosmology and Gravitation Theories #Fluid Dynamics and Turbulent Flows #Solar and Space Plasma Dynamics #astro-ph.SR #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.2109.03817
30 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2005.14005, arXiv:physics/0603115, arXiv:1510.00637, arXiv:1703.08072, arXiv:1801.06443, arXiv:physics/0603162
arxiv created 2021/08/10 · arxiv updated 2021/09/10
Variational principles for magnetohydrodynamics (MHD) were in\-troduced by previous authors both in Lagrangian and Eulerian form. In this paper we introduce simpler Eulerian variational principles from which all the relevant equations of non-barotropic stationary magnetohydrodynamics can be derived for certain field topologies. The variational principle is given in terms of three independent functions for stationary non-barotropic flows. This is a smaller number of variables than the eight variables which appear in the standard equations of non-barotropic magnetohydrodynamics which are the magnetic field B the velocity field v, the entropy s and the density ρ. We further investigate the case in the flow along magnetic lines is not ideal.