Analytic solutions of a two-fluid hydrodynamic model
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-simi...
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Vilnius Gediminas Technical University
2021
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oai:doaj.org-article:eeec3e738edc45c29469e39aae86b5af2021-11-29T09:14:00ZAnalytic solutions of a two-fluid hydrodynamic model1392-62921648-351010.3846/mma.2021.13637https://doaj.org/article/eeec3e738edc45c29469e39aae86b5af2021-10-01T00:00:00Zhttps://journals.vgtu.lt/index.php/MMA/article/view/13637https://doaj.org/toc/1392-6292https://doaj.org/toc/1648-3510We 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.Imre Ferenc BarnaLászló MátyásVilnius Gediminas Technical Universityarticleself-similar solutiontwo-fluid modelMathematicsQA1-939ENMathematical Modelling and Analysis, Vol 26, Iss 4, Pp 582-590 (2021) |
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self-similar solution two-fluid model Mathematics QA1-939 |
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self-similar solution two-fluid model Mathematics QA1-939 Imre Ferenc Barna László Mátyás Analytic solutions of a two-fluid hydrodynamic model |
description |
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. |
format |
article |
author |
Imre Ferenc Barna László Mátyás |
author_facet |
Imre Ferenc Barna László Mátyás |
author_sort |
Imre Ferenc Barna |
title |
Analytic solutions of a two-fluid hydrodynamic model |
title_short |
Analytic solutions of a two-fluid hydrodynamic model |
title_full |
Analytic solutions of a two-fluid hydrodynamic model |
title_fullStr |
Analytic solutions of a two-fluid hydrodynamic model |
title_full_unstemmed |
Analytic solutions of a two-fluid hydrodynamic model |
title_sort |
analytic solutions of a two-fluid hydrodynamic model |
publisher |
Vilnius Gediminas Technical University |
publishDate |
2021 |
url |
https://doaj.org/article/eeec3e738edc45c29469e39aae86b5af |
work_keys_str_mv |
AT imreferencbarna analyticsolutionsofatwofluidhydrodynamicmodel AT laszlomatyas analyticsolutionsofatwofluidhydrodynamicmodel |
_version_ |
1718407438801043456 |