Batchelor’s theory extended to elongated cylindrical or ellipsoidal particles

Lubansky, A.S.; Boger, David V.; Cooper-White, Justin J.

doi:10.1016/j.jnnfm.2005.08.001

Cited by 13 publications

(8 citation statements)

References 12 publications

(27 reference statements)

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“…The decrease in the number fraction of elongated structure is observed due to the first effect. The earlier works23, 24 on different systems suggest that the viscosity of the solution containing spheres is lower than that of the elongated structure at low shear rate. Based on the above finding, we can explain the observed decrease of viscosity of solution with increasing amount of SDS after PSP.…”

Section: Resultsmentioning

confidence: 94%

Effect of polymer–surfactant structure on its solution viscosity

Badoga

Pattanayek

Kumar

et al. 2011

Asia-Pacific J Chem Eng

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Polymer-surfactant interactions in solutions are important in wide range of applications. The interactions lead to the formation of various polymer-surfactant structures. The solution viscosity is dependent on the structure. Here we have studied the dependence of viscosity and structure on the composition of polymer-surfactant mixture. We have used non-ionic polymer polyvinyl pyrrolidone (PVP) and negatively charged surfactant sodium dodecyl sulfate (SDS). PVP behaves as a negatively charged polyelectrolyte in pure water at pH 7.4. It interacts with SDS through hydrophobic interaction. This leads to the polymer saturation point (PSP). PVP behaves as a positively charged polyelectrolyte at pH 2.4. The SDS neutralizes the opposite charge of polymer. After the neutralization point of PVP, excess SDS interacts with the polymer through hydrophobic interaction. From the data of charge neutralization, charge on the polymer is calculated. From the data of PSP on PVP at various concentrations, we calculated the number of SDS molecules per PVP molecule. The structure of PVP-SDS complexes is observed by using transmission electron microscope at room temperature. The viscosity data are explained from the observed structure of PVP-SDS mixture.

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Section: Resultsmentioning

confidence: 94%

Effect of polymer–surfactant structure on its solution viscosity

Badoga

Pattanayek

Kumar

et al. 2011

Asia-Pacific J Chem Eng

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“…By contrast, in the case of purely elongational uniaxial extensional flow, spheroidal particles and straight rods align with the principal axis of stretching yielding a well-defined constant extensional suspension viscosity [11,12]. A review of the theory of dilute and non-dilute suspensions in extensional flow and specific expressions for ellipsoidal and cylindrical particles was recently presented by Lubansky et al [13].…”

Section: Introductionmentioning

confidence: 99%

Interception of two spheroidal particles in shear flow

Pozrikidis

2006

Journal of Non-Newtonian Fluid Mechanics

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“…2,42 The contribution of rod-like particles in the stress tensor is related to the fourth-rank tensor huuuui. 2,30,32 In the context of the elongation flow in self-thinning liquid thread considered in the present work, the corresponding axial deviatoric components of these tensors read …”

Section: Influence Of Rods On Suspension Viscositymentioning

confidence: 96%

“…[30][31][32][33] Detailed reviews of the theoretical models are available. 31,34 Elongational flows of suspensions of rods arise in multiple applications, e.g., in formation of reinforced jets and solidified materials, 3,21-28 various microfluidic devices used for orienting micro-size rods suspended in a fluid to deposit ordered rod arrays on a solid surface, 20,35 and in flows of suspensions of phase-change materials (PCM) encapsulated in carbon nanotubes.…”

Section: Introductionmentioning

confidence: 99%

The internal structure of suspensions in uniaxial elongation

Sinha-Ray¹,

Fezzaa²,

Yarin³

2013

Journal of Applied Physics

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Self-thinning of a tiny thread of suspension of glass beads or rods is explored using high-speed X-ray phase-contrast imaging. The overall fluid mechanical pattern is provided by the threadthinning rate, while the X-ray imaging of the evolution of the suspension internal structure sheds light onto the interplay between fluid mechanics and rheology. In particular, we measured in real time the motion and re-orientation of the individual glass rods in self-thinning liquid threads for the first time, and established the link between these micromechanical phenomena and macroscopic elongational suspension flow. The results with the rod-like particles raise questions on the validity of the common assumption of the affinity of the macroscopic flow kinematics and particle motion.

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Batchelor’s theory extended to elongated cylindrical or ellipsoidal particles

Cited by 13 publications

References 12 publications

Effect of polymer–surfactant structure on its solution viscosity

Effect of polymer–surfactant structure on its solution viscosity

Interception of two spheroidal particles in shear flow

The internal structure of suspensions in uniaxial elongation

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