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Pressure wave speeds from the characteristics of two fluids, two-phase hyperbolic equation system

1 <h5>Introduction</h5> Considerable effort has been made in the past, without much success, to determine the pressure wave propagation speed for two fluids, two-phase flow. Delhaye et al. (1981) and Ishii (1975) have showed systematic derivation of the governing equations for two-phase flows. However, this governing equation system has complex characteristics, making the two-phase flow formulation mathematically ill-posed, see Ramshaw and Trapp (1978) ; Stewart (1979) . Various modifications of the governing equations has therefore been followed to render the characteristic roots real. The single-pressure models in the classical two fluids, two-phase formulation assume that the pressure is continuous across the interface boundary. Unfortunately, these models lead to the afore-mentioned complex eigenvalues for the practical problems under review. In contrast, the two-pressure models assume that the gas and the liquid pressures are not necessarily continuous across the interface. These models have, as a matter of fact, produced real eigenvalues, see Ramsom and Hicks (1984) ; Holm and Kupershmidt (1986) ; Ramshaw and Trapp (1978) . However, most of the two-pressure models are either deficient of the constraint binding the two phasic pressures, producing nonphysical behavior in the solution, or based on the pressure constraints true only for a http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Multiphase Flow Elsevier
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