Surface waves in a two layered fluid model with an inclined magnetic field

Abstract

We consider a simple two layer fluid model to investigate surface waves arising due to the interaction between two fluids of different densities. The interface separates the convection zone and the atmosphere of the Sun. The upper fluid is under the influence of a magnetic field which is inclined at an angle to the interface while the lower fluid is field free. The wave vector is in a direction different from the magnetic field. Making the use of the continuity of the vertical velocity and the total pressure at the interface leads to a dispersion relation which is a polynomial of sixth degree. However, all the modes do not represent surface waves. The condition for the existence of surface waves and the variation of the normalized phase speed as a function of the different angles of the propagation vector is studied.