A variational principle for two-fluid models

Abstract

A variational principle for two-fluid mixtures is proposed. The Lagrangian is constructed as the difference between the kinetic energy of the mixture and a thermodynamic potential conjugated to the internal energy with respect to the relative velocity of phases. The equations of motion and a set of Rankine-Hugoniot conditions are obtained. It is proved also that the convexity of the internal energy guarantees the hyperbolicity of the one-dimensional equations of motion linearized at rest.

7 pages

References in corpus (1)

• Variational Theory of Mixtures in Continuum Mechanics

Cited by in corpus (5)

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• The Hamilton principle for fluid binary mixtures with two temperatures