Vertical flow of a multiphase mixture in a channel

The flow of a multiphase mixture consisting of a viscous fluid and solid pa rticles between two vertical plates is studied. The theory of interacting c ontinua or mixture theory is used. Constitutive relations for the stress te nsor of the granular materials and the interaction force are presented and discussed. The flow of interest is an ideal one where we assume the flow to be steady and fully developed; the mixture is Bowing between two long vert ical plates. The non-linear boundary value problem is solved numerically, a nd the results are presented for the dimensionless velocity profiles and th e volume fraction as functions of various dimensionless numbers.