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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v28.i3.100
24 pages

To Magnetohydrodynamics of Rotating Nonhomogeneous Fluid in Stationary Case

N. V. Saltanov
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
V. N. Saltanov
Kyiv Taras Shevchenko National University

ABSTRAKT

The magnetohydrodynamic model of conducting rotatory stratified nonviscous liquid is investigated here in stationary case with the assumption that the magnetic field vector and the speed vector are parallel. Three types of a magnetic field stratification are registered: subalfvenic, alfvenic and superalfvenic. Two ways of reducibility of the three-parametric problem solving linear equations are pointed out. The modified speed vector is expressed in terms of potential complying with the Laplace equation in the first case and the Helmholtz equation in the second case. Two-parametric problem, being based on the symmetry integrals, is reduced to one nonlinear equation in quadratic partial derivatives to establish the modified stream function. This relation generalizes the Yih equation, which is well-known in usual dynamics of nonhomogeneous fluid. A set of situations is pointed when the equation for the modified stream function becomes linear. Magnetohydrodynamic generalization of the well-known in common hydrodynamics Hill vortex is obtained. The exact solutions describing internal waves with finite amplitude in plane and circular layers of magnetized nonhomogeneous fluid are found. An influence of magnetization on dispersion relations is analyzed.


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