Formulation of multiphase mixture models for fragmenting flows

• Formulation of multiphase mixture models of fragmentation is discussed.
• Consequences of specific constitutive choices are determined.
• Independence of large and small scale effects is investigated.
• Plug flow fragmentor closed form solutions are presented.

The formulation of multiphase mixture models of fragmentation is discussed. It is demonstrated that choices of constitutive equations play a critical role in creating the independence of large and small scale effects exhibited by some models appearing in the literature. A model of this kind is used to make closed form plug flow fragmentor predictions which could be useful in the investigation of size class convergence.