Rheology of a dilute suspension: analytical expression for the viscosity in the limit of low zeta-potentials

Rubio-Hernández, F.J.; Ruiz-Reina, Emilio; Gómez-Merino, A.I.

doi:10.1007/s003970000127

Cited by 21 publications

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Section: Introductionmentioning

confidence: 99%

“…If the liquid contains an electrolyte and the particles are charged, then the effective viscosity η s is further increased. This phenomenon is called the primary electroviscous effect − and the effective viscosity η s can be expressed as normalη normals = normalη { 1 + 5 2 false( 1 + p false) normalϕ } where p is the primary electroviscous coefficient. The standard theory for this effect and the governing electrokinetic equations as well as their numerical solutions were given by Watterson and White .…”

Section: Introductionmentioning

confidence: 99%

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Effective Viscosity of a Concentrated Suspension of Uncharged Spherical Soft Particles

Ohshima

2009

Langmuir

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We present a theory of the effective viscosity eta(s) of a concentrated suspension of uncharged polymer-coated spherical particles, which are termed uncharged spherical soft particles, in a liquid of viscosity eta on the basis of a cell model. These particles consist of the uncharged particle core of radius a covered with an uncharged polymer layer of thickness d (a polymer-coated particle thus has an inner radius a and an outer radius b = a + d). We assume that polymer segments are regarded as resistance centers, exerting frictional forces--gamma u on the liquid flowing in the polymer layer, where u is the liquid velocity and gamma is the frictional coefficient. We derive an analytic expression for the effective viscosity eta(s) of the suspension, which depends on the radii a and b, and volume fraction phi of the spheres and a parameter lambda = (gamma/eta)(1/2). The obtained expression for eta(s) exhibits the correct limiting behaviors. That is, as phi --> 0, the obtained expression for eta(s) becomes that for a dilute suspension of uncharged soft spheres (Ohshima, Langmuir 2008, 24, 6453). As a --> 0, the obtained viscosity expression becomes that for the case of a concentrated suspension of uncharged porous spheres (Ohshima, Colloids Surf. A: Physicochem. Eng. Aspects 2009, 347, 33). In the further limit of a --> 0 and phi --> 0, the obtained viscosity expression becomes the viscosity expression derived for the case of a dilute suspension of uncharged porous spheres by Natraj and Chen (J. Colloid Interface Sci. 2002, 251, 200). As lambda --> infinity or a --> b, the obtained viscosity expression tends to Simha's result (J. Appl. Phys. 1952, 23, 1020) for a concentrated suspension of uncharged rigid spheres of radius b, while as lambda --> 0, it becomes that for uncharged rigid spheres of radius a.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effective Viscosity of a Concentrated Suspension of Uncharged Spherical Soft Particles

Ohshima

2009

Langmuir

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“…The lower the κa values, the higher the p values are expected to be. Very recently (13)(14)(15)(16), a surface conductance mechanism, which accepts the possibility of ions moving tangentially into the Stern layer, close to the particle surface, has been included in the most elaborated theories developed by Sherwood (11) and Watterson and White (12). Although new results are obtained, the p dependence on ζ and κa is preserved.…”

Section: Introductionmentioning

confidence: 81%

An Experimental Test of Booth's Primary Electroviscous Effect Theory

Rubio-Hernández

Gómez-Merino

Ruiz-Reina

et al. 2002

Journal of Colloid and Interface Science

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“…Theories of the electroviscosity of solid suspensions in electrolytes have been developed, each being able to handle some but not all of the above five variables (Smoluchowski, 1916;Henry, 1931;Sumner and Henry, 1931;Bull, 1932;Krasny-Ergen, 1936;Overbeck, 1943;Booth, 1950a,b;Street, 1958;Chan et al ., 1966;StoneMasui and Watillon, 1968;Whitehead, 1969;StoneMasui and Watillon, 1970;Russel, 1976;Seville, 1977;Russel, 1978a,b;O'Brien and White, 1978;Lever, 1979;Sherwood, 1980;Watterson and White, 1981;O'Brien, 1983;Hinch and Sherwood, 1983;Honig et al ., 1990;Mangelsdorf and White, 1990;Dukhin and van de Ven, 1993;Sherwood et al ., 2000;Rubio-Hernandez et al ., 2001;Wada, 2005). Smoluchowski (1916) first noted that the electrical double layer surrounding a charged solid particle in a liquid led to an increase in the apparent viscosity η a of the system.…”

Section: Discussionmentioning

confidence: 99%

Drag enhancement of aqueous electrolyte solutions in turbulent pipe flow

Doherty

Spedding

Chen

2007

Asia-Pacific J Chem Eng

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Experimental measurements have indicated that drag enhancement occurs when aqueous electrolyte solutions are flowing in the turbulent regime. The primary electroviscous effect due to the distortion by the shear field of the electrical double layer surrounding the ions in solution is invoked to explain the drag enhancement. Calculations using the Booth model for symmetrical one-to-one electrolytes enabled the increased viscosity in the turbulent regime to be calculated. 

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Rheology of a dilute suspension: analytical expression for the viscosity in the limit of low zeta-potentials

Cited by 21 publications

References 0 publications

Effective Viscosity of a Concentrated Suspension of Uncharged Spherical Soft Particles

Effective Viscosity of a Concentrated Suspension of Uncharged Spherical Soft Particles

An Experimental Test of Booth's Primary Electroviscous Effect Theory

Drag enhancement of aqueous electrolyte solutions in turbulent pipe flow

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