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Numerical Study of a Viscous Consolidation Model

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • Katarina Gustavsson & Björn Sjögreen, 2003. "Numerical Study of a Viscous Consolidation Model," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 569-578, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_53
    DOI: 10.1007/978-3-642-55711-8_53
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