Multiphase Flow Modeling via Hamilton's Principle

Sergey Gavrilyuk (1, 2)

1 IUSTI - Institut universitaire des systèmes thermiques industriels
2 CISM - International Center for Mechanical Sciences

We present here a variational approach to derivation of multiphase flow models. Two basic ingredients of this method are as follows. First, a conservative part of the model is derived based on the Hamilton principle of stationary action. Second, phenomenological dissipative terms are added which are compatible with the entropy inequality. The variational technique is shown up, and mathematical models (classical and non-classical) describing fluid-fluid and fluid-solid mixtures and interfaces are derived.

Domaines: Mécanique [physics.med-ph]

Sergey Gavrilyuk. Multiphase Flow Modeling via Hamilton's Principle. 2011. ⟨hal-00601779⟩