The steady-state axisymmetric motion of an incompressible viscous conducting fluid is studied in the framework of the magnetohydrodynamical model. An ansatz is introduced on the radial dependences of the velocity and magnetic fields, which extends the one used by Von Kármán in the purely hydrodynamical case. It is shown how the extended ansatz can be characterized much in the same way as in hydrodynamics and how it reduces the magnetohydrodynamical system of partial differential equations to a system of ordinary differential equations. The solutions of these equations can be found in exact form in some simplified situations, while, in the general case, numerical approximation methods seem to be the only successful solution procedures.
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|Titolo:||Extension of Von Karman ansatz to magnetohydrodynamics|
|Citazione:||Loffredo, M.I. (1986). Extension of Von Karman ansatz to magnetohydrodynamics. MECCANICA, 21(2), 81-86.|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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