N.V.Saltanov, V.N.Saltanov About the msgnetohydrodynamics of rotatory nonhomoheneous fluid in the stationary case |
Applied hydromechanics, Vol. 1 (73) ¹ 3, (1999) |
| The magnetohydrodynamic model of conducting rotatory stratified nonviscous liquid is investigated here in stationary case with the assumption that magnetic field vector and speed vector are parallel. Three types of magnetic field stratification are registered: subalfvenic, alfvenic and superalfvenic. Two possibilities of three parametric problem reducibility to linear equations solving are pointed out. The modified speed vector is expressed in terms of potential complying with Laplas equation in the first case and Helmholtz equation in the second case. Two-parametric problem based on the symmetry integrals is reduced to one nonlinear equation in quadratic partial derivatives to establish modified stream function. This relation is the generalization of Yih equation, that is well-known in the usual dynamics of nonhomogeneous fluids. A set of situations when the equation for the modified stream function becomes linear is pointed. Magnetohydrodynamic generalization of well-known in common hydrodynamics Hill vortex is obtained. The exact solutions describing the internal waves with finite amplitude in a plane and circular layers of magnetized nonhomoheneous fluid are received. The influence of magnetization on dispersion relationships is analysed. |
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| TEXT LANGUAGE: Russian |