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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Autores principales: Imre Ferenc Barna, László Mátyás
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Lenguaje:EN
Publicado: Vilnius Gediminas Technical University 2021
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Acceso en línea:https://doaj.org/article/eeec3e738edc45c29469e39aae86b5af
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic self-similar solution
two-fluid model
Mathematics
QA1-939
spellingShingle 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
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