Abstract
In this paper a new, phenomenological, temperature dependent hysteresis model of the vapor-liquid first-order phase transitions is presented in order to improve the existing equation-of-state type diffuse interface methods implicated in homogeneous two phase flow models. The proposed hysteresis approach describes not only equilibrium but also non-equilibrium phase transitions. A saturation temperature dependent upper limit of the allowable supersaturation is proposed, this limit ensures that unstable conditions could be always avoided. To overcome the flowing system caused memory handling problems of classical Preisach-type hysteresis models, a partial differential equation based hysteresis operator is proposed to describe the statistics of a model fluid consists of bistable, constant-mass clusters of molecules.
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