Effective Viscosity of a Near-Critical Binary Fluid Mixture with Colloidal Particles Dispersed Dilutely under Weak Shear

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Abstract

We consider a spherical liquid droplet immersed in a near-critical binary fluid mixture whose components interact with the droplet slightly unequally. Assuming uniform viscosity of the mixture, we use the Gaussian free-energy functional to calculate the pressure and velocity fields occurring when a weak linear shear flow is imposed far from the droplet. These fields in the limit of infinite droplet viscosity give those for a rigid sphere. Using these fi elds, we calculate the effective viscosity emerging when identical droplets or rigid spheres are dilutely dispersed in the mixture.

Original languageEnglish
Article number084401
JournalJournal of the Physical Society of Japan
Volume83
Issue number8
DOIs
Publication statusPublished - 2014 Aug 15

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binary fluids
viscosity
shear
pressure distribution
shear flow
emerging
velocity distribution
free energy
liquids

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "We consider a spherical liquid droplet immersed in a near-critical binary fluid mixture whose components interact with the droplet slightly unequally. Assuming uniform viscosity of the mixture, we use the Gaussian free-energy functional to calculate the pressure and velocity fields occurring when a weak linear shear flow is imposed far from the droplet. These fields in the limit of infinite droplet viscosity give those for a rigid sphere. Using these fi elds, we calculate the effective viscosity emerging when identical droplets or rigid spheres are dilutely dispersed in the mixture.",
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AB - We consider a spherical liquid droplet immersed in a near-critical binary fluid mixture whose components interact with the droplet slightly unequally. Assuming uniform viscosity of the mixture, we use the Gaussian free-energy functional to calculate the pressure and velocity fields occurring when a weak linear shear flow is imposed far from the droplet. These fields in the limit of infinite droplet viscosity give those for a rigid sphere. Using these fi elds, we calculate the effective viscosity emerging when identical droplets or rigid spheres are dilutely dispersed in the mixture.

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