An Intrinsic Study on a Certain Flow of an Inviscid Compressible Fluid, with Extension to Some Cases in Magneto-Plasma Dynamics: Part Two - An Extension to Some Special Cases in Magneto-Plasma Dynamics

摘要

This part of the work studies and clarifies some local phenomena in MHD. The model from part one can be extended to some cases in magneto-plasma dynamics (taking into account the flow vorticity effects and those of the Joule-Lenz heat losses), considering a non-isentropic flow of a barotropic inviscid electroconducting fluid in an external magnetic field. There always are some space curves along which the motion equation admits a first integral, making evident a new physical quantity - Selescu's vector. For a fluid with infinite electric conductivity, these curves are the flow's isentropic lines, enabling the treatment of any 3-D flow as a "quasi-potential" 2-D one. The case of the unsteady flow (and electric field and charge, and magnetic field as well) of an inviscid electroconducting liquid (incompressible fluid) was also studied. The new first integrals are similar to D. Bernoulli and D. Bernoulli-Lagrange ones. The differential equations of Selescu's vector lines are also given.