Analytic solutions of a two-fluid hydrodynamic model
Fluid Dynamics
2021-09-28 v1
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.
Cite
@article{arxiv.2004.09815,
title = {Analytic solutions of a two-fluid hydrodynamic model},
author = {I. F. Barna and Mátyás László},
journal= {arXiv preprint arXiv:2004.09815},
year = {2021}
}
Comments
11 pages, 4 figures