ANALYTIC SOLUTIONS OF A TWO-FLUID HYDRODYNAMIC MODEL-Reference-Cited by-同舟云学术

ANALYTIC SOLUTIONS OF A TWO-FLUID HYDRODYNAMIC MODEL

Published:2021-10-28 Issue:4 Volume:26 Page:582-590
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Barna Imre Ferenc¹^ORCID,Mátyás László²^ORCID

Affiliation:

1. Wigner Research Center for Physics, Konkoly-Thege Miklós út 29-33, 1121 Budapest, Hungary

2. Department of Bioengineering, Faculty of Economics, Socio-Human Sciences and Engineering, Sapientia Hungarian University of Transylvania Libertătii sq. 1, 530104, Miercurea Ciuc, Romania

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference29 articles.

1. Laszlo Tisza and the two-fluid model of superfluidity

4. ANALYTIC SELF-SIMILAR SOLUTIONS OF THE KARDAR-PARISI-ZHANG INTERFACE GROWING EQUATION WITH VARIOUS NOISE TERMS

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