Articulo
Model equations for gravitational sedimentation-consolidation processes
Fecha
2000Registro en:
0044-2267
D97I2042
WOS:000085277200001
WOS:000085277200001
0
Institución
Resumen
We develop a general phenomenological theory of sedimentation-consolidation processes of flocculated suspensions, which are considered as mixtures of two superimposed continuous media. Following the standard approach of continuum mechanics, we derive a mathematical model for these processes by applying constitutive assumptions and a subsequent dimensional analysis to the mass and linear momentum balance equations of the solid and liquid component. The resulting mathematical model can be viewed as a system of Navier-Stokes type coupled to a degenerating convection-diffusion equation by singular perturbation terms. In two or three space dimensions, solvability of these equations depends on the choice of phase and mixture viscosities. In one space dimension, however, tills model reduces to a quasilinear strongly degenerate parabolic equation, Sor which analytical and numerical solutions are available. The theory is applied to a batch sedimentation-consolidation process.