Analytical Model Development for Stokes-Type Settling in a Solidifying Fluid |
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Authors: | B J Love |
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Affiliation: |
a Virginia Polytechnic Institute and State University, Department of Materials Science and Engineering, Blacksburg, Virginia |
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Abstract: | Analytical modeling was used to track the mudline displacement of a simulated fluid dispersion that underwent a simulated linear increase in the fluid viscosity as a function of time following an induction period. Modeling results indicate two regimes of settling behavior from the driving force of density differences between the particles and the fluid. A linear mudline movement was first determined in the regime of constant viscosity, and a logarithmic retarded mudline movement was numerically determined following a linear rise in fluid viscosity. The results show that the combination of settling and solidification leads to a transitional mudline movement similar to batch settling curves described by early settling theories. |
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Keywords: | sedimentation functionally graded composites Stokes law complex fluids transitional flow |
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