Surface waves at the interface between two viscous fluids

The Surface Green Function Matching analysis (SGFM) is used to study the normal modes of the interface oscillations between two non-mixed fluids by considering the difference in their densities and viscosities. The limiting case of viscous-inviscid system is used for comparison. The role of the viscosity and the density ratios on the momentum exchange and on the polarization of the surface modes is analyzed.