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- W2121993811 abstract "We study a two-phase pipe flow model with relaxation terms in the momentum and energy equations, driving the model towards dynamic and thermal equilibrium. These equilibrium states are characterized by the velocities and temperatures being equal in each phase. For each of these relaxation processes, we consider the limits of zero and infinite relaxation times. By expanding on previously established results, we derive a formulation of the mixture sound velocity for the thermally relaxed model. This allows us to directly prove a subcharacteristic condition; each level of equilibrium assumption imposed reduces the propagation velocity of pressure waves. Furthermore, we show that each relaxation procedure reduces the mixture sound velocity with a factor that is independent of whether the other relaxation procedure has already been performed. Numerical simulations indicate that thermal relaxation in the two-fluid model has negligible impact on mass transport dynamics. However, the velocity difference of sonic propagation in the thermally relaxed and unrelaxed two-fluid models may significantly affect practical simulations." @default.
- W2121993811 created "2016-06-24" @default.
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- W2121993811 date "2011-10-26" @default.
- W2121993811 modified "2023-10-16" @default.
- W2121993811 title "On the effect of temperature and velocity relaxation in two-phase flow models" @default.
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- W2121993811 doi "https://doi.org/10.1051/m2an/2011039" @default.
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