A hierarchy of simple hyperbolic two-fluid models for bubbly flows

Abstract

With the objective of modeling both separate and disperse two-phase flows, we use in this paper a methodology for deriving two-fluid models that do not assume any flow topology. This methodology is based on a variational principle and on entropy dissipation requirement. Some of the models that are such derived and studied are already known in the contexts of the description of separate-or disperse-phase flows. However, we here propose an arrangement of these models into a hierarchy based on their links through relaxation parameters. Moreover, the models are shown to be compatible with the description of a monodisperse bubbly flow and, within this frame, the relaxation parameters can be identified. This identification is finally verified and discussed through comparisons with experimental measures of sound dispersion and with dispersion relations of a reference model for bubbly media.

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Cited by in corpus (5)

• Statistical modeling of the gas-liquid interface using geometrical variables: toward a unified description of the disperse and separated phase flows
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• Derivation of a two-phase flow model with two-scale kinematics, geometric variables and surface tension using variational calculus
• A unified two-scale gas-liquid multi-fluid model with capillarity and interface regularization through a mass transfer between scales
• Two-scale modelling of two-phase flows based on the Stationary Action Principle and a Geometric Method Of Moments