We investigate a one dimensional flow described with the non-compressible
coupled Euler and non-compressible Navier-Stokes equations in Cartesian
coordinate systems. We couple the two fluids through the continuity equation
where different void fractions can be considered. The well-known self-similar
Ansatz was applied and analytic solutions were derived for both velocity and
pressure field as well. The solutions can be expressed with the error
functions.Comment: 11 pages, 4 figure
