Madsen,2006-use-eulerian-model

In the Eulerian multi-fluid model, the gas and particle phases are treated considered as the primary considered as dispersed or secondary phases. The gas and particle phases as interpenetrating continua in an Eulerian framework. The gas phase is considered as primary phase whereas the particle phases are secondary phases. The gas and particle phase are characterized by volume fractions, and by definition, the volume fractions of all phases must sum to unity: (lasmanp thesis: 0.9 for gas, 0.1 for particle).

The governing equations of the multi-fluid model can be derived by conditionally ensemble averaging of the local instant conservation equation of single-phase flow (Drew, 1983; Drew and Passman, 1999). In the Madsen, J., (2006) thesis the flow assumed to be isothermal; hence, energy balances are not needed. Furthermore, there is no interfacial mass transfer between the gas and particle phases.