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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Veröffentlicht in:	Mathematical modelling and analysis 2021-10, Vol.26 (4), p.582-590
Hauptverfasser:	Barna, Imre Ferenc, Matyas, Laszlo
Format:	Artikel
Sprache:	eng
Schlagworte:	Cartesian coordinates Compressibility Continuity equation Exact solutions Fluids Hydrology Investigations Mathematics Navier-Stokes equations Nuclear industry One dimensional flow Partial differential equations Physical Sciences Science & Technology self-similar solution Self-similarity Superfluidity two-fluid model Variables Velocity Viscosity
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Beschreibung
Zusammenfassung:	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.
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2021.13637