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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 1064-2277
ISSN Online: 2152-5102

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v41.i6.70
pages 547-555

Implementation of Velocity and Pressure Non-Equilibrium in Gas-Liquid Two-Phase Flow Computations

Dia Zeidan
School of Basic Sciences and Humanities, German Jordanian University, Amman, Jordan
R. Touma
Department of Computer Science & Mathematics Lebanese American University Beirut, Lebanon
A. Slaouti
School of Engineering and Technology, PSB Academy Singapore


A set of fully hyperbolic and fully conservative mixture conservation laws that treat the relative motion in gas-liquid two-phase flows are presented. These laws are based on compressible gas-liquid two-phase flow with velocity and pressure non-equilibrium. The resulting theoretical model accounts for the interaction between the gas and liquid phases with more reasonable physical meaning. Within this framework, the distinctness of the model conservation laws enables a straightforward extension and application of single-phase fluid dynamics numerical methods. Computations for a set of rarefaction waves test problem show that the interfacial friction source term has a strong influence on both the flow parameters and the wave structure in non-equilibrium two-phase flows.