Multiphase Flow Modeling via Hamilton’s Principle
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.
KeywordsSolitary Wave Sound Speed Multiphase Flow Entropy Inequality Hamilton Action
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