Work

Analytic Solutions of a Two-fluid Hydrodynamic Model

Year: 2021

Type: article

Abstract: We investigate a one dimensional flow described with the non-compressible coupled Euler and non-compressible Navier-Stokes equations in the Cartesian coordinate system. 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.

Source: Mathematical Modelling and Analysis

DOI: 10.3846/mma.2021.13637

Authors: Imre Ferenc Barna, László Mátyás

Institutions: HUN-REN Wigner Research Centre for Physics, Sapientia Hungarian University of Transylvania

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: European Commission, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap

Awards: G2149254519, G6488352319, G7798551118