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.
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Koenders, M.A., Williams, A.F. Flow equations of particle fluid mixtures. Acta Mechanica 92, 91–116 (1992). https://doi.org/10.1007/BF01174169
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DOI: https://doi.org/10.1007/BF01174169