Propagation of running waves in a liquid conducting waveguide surrounded by an elastic dielectric

I. T. Selezov - L. V. Selezova

Abstract
The problem of the propagation of magnetoacoustic running waves in an ideally conducting circular cylinder in contact with an outer nonconducting elastic medium in the presence of an azimuthal magnetic field is solved. The inner medium is described by the linearized equations of magnetohydrodynamics with zero-order unperturbed velocity; in the outer medium the free equations of the linear theory of elasticity and the Maxwell equations are valid. All the fields are coupled through the Lorentz forces and the boundary conditions at the interface. Solutions are constructed for all field functions, the dispersion relation is derived from the boundary conditions and investigated asymptotically in the limit of the longwave and the shortwave approximations. It is found that the velocity of magnetoacoustic waves and the retardation of the signal increase with the magnetic field.