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Numerical Study of a Viscous Consolidation Model

Katarina Gustavsson () and Björn Sjögreen ()
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Katarina Gustavsson: Royal Institute of Technology, Department of Numerical Analysis and Computing Science
Björn Sjögreen: Royal Institute of Technology, Department of Numerical Analysis and Computing Science

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 569-578 from Springer

Abstract: Abstract In this paper we present a mathematical model and a numerical study of a one dimensional consolidation process of a flocculated suspension. The suspension is treated as a mixture of fluid and small, solid particles forming larger aggregates called floes. The mathematical model is based on a macroscopic description of the process, so both phases are treated as separate interpenetrating continua. Each phase is kept track of by a scalar volume fraction field, 1, which indicates the proportion of the total volume occupied by particles. Equations for conservation of mass and momentum are formulated for each phase. Furthermore the suspension is characterized by constitutive relations correlating experimental data to three material junctions: permeability, viscosity and a particle interaction pressure, yield pressure. These functions will be described in more details in section 6.

Keywords: Yield Pressure; Permeability Function; Viscous Model; Consolidation Model; Dense Flocculat (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_53

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DOI: 10.1007/978-3-642-55711-8_53

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