Viscoelastic and rheological behavior of concentrated colloidal suspensions

doi:https://doi.org/10.1007/BF01458826

Title: Viscoelastic and rheological behavior of concentrated colloidal suspensions

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Abstract

Molecular approaches are discussed to the density ({phi}), viscoelastic ({omega}), and rheological ({gamma}) behavior of the viscosity {eta}({phi}, {omega}, {gamma}) of concentrated colloidal suspensions with 0.3 < {phi} < 0.6, where {phi} is the volume fraction, {omega} the applied frequency, and {gamma} the shear rate. These theories are based on the calculation of the pair distribution function P{sub 2}(r; {omega}, {gamma}), where r is the relative position of a pair of colloidal particles. The linear visoelastic behavior {eta}({phi}, {omega}, {gamma} = 0) follows from an equation for P{sub 2}(r, {omega}, {gamma}) derived from the Smoluchowski equation for small {phi}, generalized to large {phi} by introducing the spatial ordering and (cage) diffusion typical for concentrated suspensions. The rheological behavior {eta}({phi}, {omega} = 0, {gamma}) follows from an equation for P{sub 2}(r; {gamma}) of a dense hard-sphere fluid derived from the Liouville equation. This leads to a hard-sphere viscosity {eta}{sup hs}({phi}, {gamma}) which yields the colloidal one {eta}({phi}, {gamma}) by the scaling relation {eta}({phi}, {gamma})/{eta}{sub 0} = {eta}{sup hs}({phi}, {gamma})/{eta}{sub B}, where {eta}{sub 0} is the solvent viscosity, {eta}{sub B} is the dilute hard-sphere (Boltzmann) viscosity, and the {gamma}`s are appropriately scaled. {eta}({phi}, {omega}) and {eta}({phi}, {gamma}) agree well with experiment. Amore »« less

Authors:

Schepper, I.M. de ^[1]; Cohen, E G.D. ^[2]

Delft Univ. of Technology (Netherlands)
Rockefeller Univ., New York, NY (United States)

Publication Date:: 1994-11-01

Sponsoring Org.:: USDOE

OSTI Identifier:: 50770

Report Number(s):: CONF-940633-
Journal ID: IJTHDY; ISSN 0195-928X; TRN: 95:003581-0005

DOE Contract Number:: FG02-88ER13847

Resource Type:: Journal Article

Journal Name:: International Journal of Thermophysics

Additional Journal Information:: Journal Volume: 15; Journal Issue: 6; Conference: 12. symposium on thermophysical properties, Boulder, CO (United States), 19-24 Jun 1994; Other Information: PBD: Nov 1994

Country of Publication:: United States

Language:: English

Subject:: 66 PHYSICS; COLLOIDS; VISCOSITY; DENSITY; RHEOLOGY; BEHAVIOR; BOLTZMANN-VLASOV EQUATION; SUSPENSIONS

Citation Formats


                    Schepper, I.M. de, and Cohen, E G.D. Viscoelastic and rheological behavior of concentrated colloidal suspensions.  United States: N. p., 1994. 
        Web.  doi:10.1007/BF01458826.

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                    Schepper, I.M. de, & Cohen, E G.D. Viscoelastic and rheological behavior of concentrated colloidal suspensions.  United States.  https://doi.org/10.1007/BF01458826

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                    Schepper, I.M. de, and Cohen, E G.D. Tue .  
        "Viscoelastic and rheological behavior of concentrated colloidal suspensions".  United States.  https://doi.org/10.1007/BF01458826.

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@article{osti_50770,

  title        = {Viscoelastic and rheological behavior of concentrated colloidal suspensions},

  author       = {Schepper, I.M. de and Cohen, E G.D.},

  abstractNote = {Molecular approaches are discussed to the density ({phi}), viscoelastic ({omega}), and rheological ({gamma}) behavior of the viscosity {eta}({phi}, {omega}, {gamma}) of concentrated colloidal suspensions with 0.3 < {phi} < 0.6, where {phi} is the volume fraction, {omega} the applied frequency, and {gamma} the shear rate. These theories are based on the calculation of the pair distribution function P{sub 2}(r; {omega}, {gamma}), where r is the relative position of a pair of colloidal particles. The linear visoelastic behavior {eta}({phi}, {omega}, {gamma} = 0) follows from an equation for P{sub 2}(r, {omega}, {gamma}) derived from the Smoluchowski equation for small {phi}, generalized to large {phi} by introducing the spatial ordering and (cage) diffusion typical for concentrated suspensions. The rheological behavior {eta}({phi}, {omega} = 0, {gamma}) follows from an equation for P{sub 2}(r; {gamma}) of a dense hard-sphere fluid derived from the Liouville equation. This leads to a hard-sphere viscosity {eta}{sup hs}({phi}, {gamma}) which yields the colloidal one {eta}({phi}, {gamma}) by the scaling relation {eta}({phi}, {gamma})/{eta}{sub 0} = {eta}{sup hs}({phi}, {gamma})/{eta}{sub B}, where {eta}{sub 0} is the solvent viscosity, {eta}{sub B} is the dilute hard-sphere (Boltzmann) viscosity, and the {gamma}`s are appropriately scaled. {eta}({phi}, {omega}) and {eta}({phi}, {gamma}) agree well with experiment. A unified theory for {eta}({phi}, {omega}, {gamma}) is clearly needed and pursued.},

  doi          = {10.1007/BF01458826},

  url          = {https://www.osti.gov/biblio/50770},
  journal      = {International Journal of Thermophysics},
number       = 6,

  volume       = 15,

  place        = {United States},

  year         = {1994},

  month        = {11}

}

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