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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2021-10-01
|
| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/13637 |
| _version_ | 1818750651368210432 |
|---|---|
| author | Imre Ferenc Barna László Mátyás |
| author_facet | Imre Ferenc Barna László Mátyás |
| author_sort | Imre Ferenc Barna |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-18T04:23:04Z |
| format | Article |
| id | doaj.art-eeec3e738edc45c29469e39aae86b5af |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-18T04:23:04Z |
| publishDate | 2021-10-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-eeec3e738edc45c29469e39aae86b5af2022-12-21T21:21:11ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102021-10-0126458259010.3846/mma.2021.1363713637Analytic solutions of a two-fluid hydrodynamic modelImre Ferenc Barna0László Mátyás1Wigner Research Center for Physics, Konkoly-Thege Miklós út 29-33, 1121 Budapest, HungaryDepartment of Bioengineering, Faculty of Economics, Socio-Human Sciences and Engineering, Sapientia Hungarian University of Transylvania Libertătii sq. 1, 530104, Miercurea Ciuc, RomaniaWe 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.https://journals.vgtu.lt/index.php/MMA/article/view/13637self-similar solutiontwo-fluid model |
| spellingShingle | Imre Ferenc Barna László Mátyás Analytic solutions of a two-fluid hydrodynamic model Mathematical Modelling and Analysis self-similar solution two-fluid model |
| title | 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_short | Analytic solutions of a two-fluid hydrodynamic model |
| title_sort | analytic solutions of a two fluid hydrodynamic model |
| topic | self-similar solution two-fluid model |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/13637 |
| work_keys_str_mv | AT imreferencbarna analyticsolutionsofatwofluidhydrodynamicmodel AT laszlomatyas analyticsolutionsofatwofluidhydrodynamicmodel |