A comparison of viscosity–concentration relationships for emulsions

Bullard, Jeffrey W.; Pauli, Adam T.; Garboczi, Edward J.; Martys, Nicos

doi:10.1016/j.jcis.2008.10.046

Cited by 65 publications

(51 citation statements)

References 28 publications

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“…The h-F relationship for the untreated SPI emulsion is similarly observed for suspensions of rigid particles at high concentrations, though in the latter cases, different equations (e.g. differential effective medium theory, D-MET) have been applied to fit the h-F relationship (Bullard, Pauli, Garboczi, & Martys, 2009). The differences in the h dependence upon F between untreated and preheated SPI emulsions can be attributed to the differences in inter-droplet interactions of particles in the system.…”

Section: Influence Of Oil Volume Fractionmentioning

confidence: 92%

Cold, gel-like soy protein emulsions by microfluidization: Emulsion characteristics, rheological and microstructural properties, and gelling mechanism

2013

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Section: Influence Of Oil Volume Fractionmentioning

confidence: 92%

Cold, gel-like soy protein emulsions by microfluidization: Emulsion characteristics, rheological and microstructural properties, and gelling mechanism

2013

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“…This viscosity percolation threshold generally is greater than the purely geometrical percolation threshold of the particles, but less than or equal to the maximum packing fraction / max [39]. The crowding factor c is given by…”

Section: Correlations and Demt Approachmentioning

confidence: 96%

“…Moreover, this relation reduces to the correct Einstein's equation in the limit of infinite dilution. Very recently, Bullard and coworkers [39] also used DEMT techniques to derive a similar relationship for suspensions of particles that may themselves incorporate some of the solvent either by solvation or by occlusion in interstitial pores. In the case of spheres their expression adopts the form…”

Section: Introductionmentioning

confidence: 99%

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The rheology of concentrated suspensions of arbitrarily-shaped particles

Santamaría‐Holek¹,

Mendoza²

2010

Journal of Colloid and Interface Science

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We propose an improved effective-medium theory to obtain the concentration dependence of the viscosity of particle suspensions at arbitrary volume fractions. Our methodology can be applied, in principle, to any particle shape as long as the intrinsic viscosity is known in the dilute limit and the particles are not too elongated. The procedure allows to construct a continuum-medium model in which correlations between the particles are introduced through an effective volume fraction. We have tested the procedure using spheres, ellipsoids, cylinders, dumbells, and other complex shapes. In the case of hard spherical particles, our expression improves considerably previous models like the widely used Krieger-Dougherty relation. The final expressions obtained for the viscosity scale with the effective volume fraction and show remarkable agreement with experiments and numerical simulations at a large variety of situations.

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“…One of its attractive features is the assumption that particles interact in a controlled manner over a finite time frame, which holds irrespective of their shape. However, since some of the mechanisms underlying the interaction of many types of particles are not mathematically characterized, this model has been empirically modified for specific applications, such as suspensions of irregularly shaped particles [35][36][37][38], deformable particles and emulsions [39,40], colloidal suspensions [41,42], and even blood [43,44].…”

Section: The Krieger Model Of Viscosity Of Suspensionsmentioning

confidence: 99%

A Quasi-Mechanistic Mathematical Representation for Blood Viscosity

Hund

Kameneva

Antaki

2017

Fluids

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Blood viscosity is a crucial element for any computation of flow fields in the vasculature or blood-wetted devices. Although blood is comprised of multiple elements, and its viscosity can vary widely depending on several factors, in practical applications, it is commonly assumed to be a homogeneous, Newtonian fluid with a nominal viscosity typically of 3.5 cP. Two quasi-mechanistic models for viscosity are presented here, built on the foundation of the Krieger model of suspensions, in which dependencies on shear rate, hematocrit, and plasma protein concentrations are explicitly represented. A 3-parameter Asymptotic Krieger model (AKM) exhibited excellent agreement with published Couette experiments over four decades of shear rate (0-1000 s −1 , root mean square (RMS) error = 0.21 cP). A 5-parameter Modified Krieger Model (MKM5) also demonstrated a very good fit to the data (RMS error = 1.74 cP). These models avoid discontinuities exhibited by previous models with respect to hematocrit and shear rate. In summary, the quasi-mechanistic, Modified-Krieger Model presented here offers a reasonable compromise in complexity to provide flexibility to account for several factors that affect viscosity in practical applications, while assuring accuracy and stability.

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A comparison of viscosity–concentration relationships for emulsions

Cited by 65 publications

References 28 publications

Cold, gel-like soy protein emulsions by microfluidization: Emulsion characteristics, rheological and microstructural properties, and gelling mechanism

Cold, gel-like soy protein emulsions by microfluidization: Emulsion characteristics, rheological and microstructural properties, and gelling mechanism

The rheology of concentrated suspensions of arbitrarily-shaped particles

A Quasi-Mechanistic Mathematical Representation for Blood Viscosity

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