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Title: The rheology of structured fluids
Author: Humm, Jason P.
ISNI:       0000 0001 3584 2513
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1993
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In this thesis we present a theoretical investigation of the rheological properties of gels and colloidal dispersions, subjected to shear stresses. We present a mean field calculation of the effective shear modulus of an elastic material containing elastic inclusions and use the resulting expression to model a gel under shear. We calculate the stress-strain curve for such a gel and show that the gel is expected to fail along planes parallel to the plates providing the shearing forces. A model of layered colloidal structures is investigated by considering the sheared flow of many layers of fluid with differing viscosities in each layer. Such flows are shown to be linearly unstable for all systems with more than four layers, when long wavelength perturbations are present. A microscopic model of a flowing suspension of neutrally buoyant spheres is presented, based on the approach used by Batchelor to describe a fluidised bed. This model takes into the account the lift forces of Vasseur and Cox and the diffusion effects of Brownian motion. The model is used to calculate the equilib­rium particle distributions and fluid velocity profiles for a suspension subjected to shear. to shear. This equilibrium solution is shown to be stable to small fluctuations of the flow, by a linear stability analysis.
Supervisor: Not available Sponsor: Science and Engineering Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QC Physics