Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...252..775t&link_type=abstract
Astrophysical Journal, Part 1, vol. 252, Jan. 15, 1982, p. 775-790.
Astronomy and Astrophysics
Astrophysics
79
Conducting Fluids, Hydrodynamic Equations, Magnetohydrodynamic Stability, Plasma Equilibrium, Astrophysics, Flow Equations, Inviscid Flow, Lines Of Force, Partial Differential Equations
Scientific paper
The steady equations of hydromagnetics for the isentropic or nonisentropic flow of an inviscid magnetofluid of high electrical conductivity, with one ignorable coordinate in a general orthogonal system, are treated. Several integrals of the equations are established thereafter reducing them to a scalar, quasi-linear, second order, partial differential equation for the magnetic potential. Simple solutions of this final equation are presented. The result, together with a similar treatment of helically symmetric hydromagnetic flows presented in a subsequent paper, allows a unified and systematic approach to the solution of problems involving steady hydromagnetic fields with a topological invariance in various curvilinear coordinates.
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