Title:
Continuum Modeling of Liquid-Solid Suspensions for Nonviscometric Flows

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dc.contributor.advisor Forney, Larry J.
dc.contributor.advisor Morris, Jeffrey F.
dc.contributor.author Miller, Ryan Michael en_US
dc.contributor.committeeMember Carr, Wallace W.
dc.contributor.committeeMember Koros, William J.
dc.contributor.committeeMember Wick, Timothy M.
dc.contributor.committeeMember Yiacoumi, Sotira Z.
dc.contributor.committeeMember Yoda, Minami
dc.contributor.department Chemical Engineering en_US
dc.date.accessioned 2005-03-01T19:35:24Z
dc.date.available 2005-03-01T19:35:24Z
dc.date.issued 2004-12-01 en_US
dc.description.abstract A suspension flow model based on the "suspension balance" approach has been developed. This work modifies the model to allow the solution of suspension flows under general flow conditions. This requires the development of a frame-invariant constitutive model for the particle stress which can take into account the spatially-varying local kinematic conditions. The mass and momentum balances for the bulk suspension and particle phase are solved numerically using a finite volume method. The particle stress is based upon the computed rate of strain and the local kinematic conditions. A nonlocal stress contribution corrects the continuum approximation of the particle phase for finite particle size effects. Local kinematic conditions are accounted through the local ratio of rotation to extension in the flow field. The coordinates for the stress definition are the local principal axes of the rate of strain field. The developed model is applied to a range of problems. (i) Axially-developing conduit flows are computed using both the full two-dimensional solution and the more computationally efficient "marching" method. The model predictions are compared to experimental results for cross-stream particle concentration profiles and axial development lengths. (ii) Model predictions are compared to experiments for wide-gap circular Couette flow of a concentrated suspension in a shear-thinning liquid. With minor modification, the suspension flow model predicts the major trends and results observed in this flow. (iii) Comparisons are made to experiments for an axisymmetric contraction-expansion. Model predictions for a two-dimensional planar contraction flow test the influence of model formulation. The variation of the magnitude of an isotropic particle normal stress with local kinematic conditions and anisotropy in the in-plane normal stresses are both explored. The formulation of the particle phase stress is found to have significant effects on the solid fraction and velocity. (iv) Finally, for a rectangular piston-driven flow and an obstructed channel flow, a "computational suspension dynamics" study explores the effect of particle migration on the bulk flow field, system pressure drop and particle phase composition. en_US
dc.description.degree Ph.D. en_US
dc.format.extent 6449568 bytes
dc.format.mimetype application/pdf
dc.identifier.uri http://hdl.handle.net/1853/4864
dc.language.iso en_US
dc.publisher Georgia Institute of Technology en_US
dc.subject Two-phase flow en_US
dc.subject Suspension flow
dc.subject Frame-invariant rheology
dc.subject Finite volume method
dc.subject Shear-induced migration
dc.subject Suspension balance model
dc.subject.lcsh Shear flow en_US
dc.subject.lcsh Finite volume method en_US
dc.subject.lcsh Two-phase flow en_US
dc.subject.lcsh Rheology en_US
dc.subject.lcsh Continuum mechanics en_US
dc.title Continuum Modeling of Liquid-Solid Suspensions for Nonviscometric Flows en_US
dc.type Text
dc.type.genre Dissertation
dspace.entity.type Publication
local.contributor.corporatename School of Chemical and Biomolecular Engineering
local.contributor.corporatename College of Engineering
relation.isOrgUnitOfPublication 6cfa2dc6-c5bf-4f6b-99a2-57105d8f7a6f
relation.isOrgUnitOfPublication 7c022d60-21d5-497c-b552-95e489a06569
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