Flow equations of particle fluid mixtures

Summary A set of flow equations are derived for the velocity components of the solid and liquid phases of a particle fluid mixture. The equations have a limited validity to the case of uniaxial flow accompanied by radial expansion.The Terzaghi fluidization criterion is used to fix an internal parameter in the equations. Using a stability analysis it is demonstrated that the process of the onset of fluidization is accompanied by a smoothing out of internal heterogeneity in the system.The applications treated are the permeability of a densely packed material and the settlement of a geotechnical filter.