Analytic solutions of a two-fluid hydrodynamic model
arXiv:2004.09815 · doi:10.3846/mma.2021.13637
Abstract
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.
11 pages, 4 figures
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