NDLI: A two-fluid four-equation model with instantaneous thermodynamical equilibrium

Content Provider	EDP Sciences
Author	Alexandre Morin Tore Flåtten
Abstract	We consider an equilibrium version of a common two-fluid model for pipe flow, containing one mixture mass equation and one mixture energy equation. This model can be derived from a five-equation model with instantaneous thermal equilibrium, to which additional phase relaxation terms are added. An original contribution of this paper is a quasilinear formulation of the instantaneous phase relaxation limit. From this, the mixture sound speed intrinsic to the model can be extracted. This allows us to directly prove some subcharacteristic conditions with respect to a previously established model hierarchy of different relaxation processes. These subcharacteristic conditions reveal the fundamental insight of this paper; in the hierarchy, thermodynamic versus velocity relaxation both reduce the mixture sound velocity with a factor that is independent of whether the other type of relaxation has been performed.
Ending Page	1192
Starting Page	1167
Page Count	26
File Format	HTM / HTML PDF
ISSN	0764583X
Alternate Webpage(s)	https://www.esaim-m2an.org/articles/m2an/abs/2016/04/m2an150058/m2an150058.html
e-ISSN	12903841
Issue Number	4
Journal	ESAIM: Mathematical Modelling and Numerical Analysis
Volume Number	50
DOI	10.1051/m2an/2015074
Language	English
Publisher	EDP Sciences
Publisher Date	2016-07-01
Access Restriction	Subscribed
Rights Holder	© EDP Sciences, SMAI 2016
Subject Keyword	Two-phase flows relaxation two-fluid model subcharacteristic condition Two-phase flows / relaxation / two-fluid model / subcharacteristic condition Liquid-gas two-phase flows, bubbly flows Conservation laws
Content Type	Text
Resource Type	Article

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