Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
