ISSN:
1572-9567
Keywords:
concentrated colloids
;
rheology
;
viscoelasticity
;
viscosity
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Molecular approaches are discussed to the density (ϕ), viscoeleastic (ω), and rheological (γ) behavior of the viscosityη(ϕ,ω,γ) of concentrated colloidal suspensions with 0.3 〈ϕ 〈 0.6, whereϕ, is the volume fraction,ω the applied frequency, and ; the shear rate. These theories are based on the calculation of the pair distribution functionP 2(r,ω,γ), wherer is the relative position of a pair of colloidal particles. The linear viscoelastic behaviorη(ϕ,ω,γ=0) follows from an equation forP 2(r,ω,γ) derived from the Smoluchowski equation for smallϕ, generalized to largeϕ by introducing the spatial ordering and (cage) diffusion typical for concentrated suspensions. The rheological behaviorη(ϕ,ω,γ=0) follows from an equation forP 2(r,γ) of a dense hard-sphere fluid derived from the Liouville equation. This leads to a hard-sphere viscosityηηhs(ϕ,γ) which yields the colloidal oneη(ϕ,γ) by the scaling relationη(ϕ,γ)η 0=ηηhs(η,γ)η B, whereη 0 is the solvent viscosity.η B is the dilute hard-sphere (Boltzmann ) viscosity and theγ's are appropriately scaled,η(ϕ,ω) andη(ϕ,γ) agree well with experiment. A unified theore forη(ϕ,ω,γ) is clearly needed and pursued.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01458826
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