Deformation and breakup of viscoelastic drops in planar extensional flows

Milliken, William J.; Leal, L. Gary

doi:10.1016/0377-0257(91)87018-s

Cited by 134 publications

(72 citation statements)

References 21 publications

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“…A satisfactory qualitative agreement is found, and a reformulation of the fundamental equations in terms of the interfacial parameters used in the phenomenological approach is suggested for future numerical work. Finally, we discuss the fact that our results show a striking similarity with experimental observations by Milliken and Leal (1991) for the deformation and breakup of polymeric drops in a quasi-steady-plane hyperbolic flow. This similarity suggests that the behavior of these drops is governed by the interfacial rheology related to the surface activity of the polymers, rather than by the suggested polymer-induced change in the bulk rheology of the drops.…”

Section: Droplet Breakup In Laminar Flows Is Important In Emulsificatsupporting

confidence: 78%

Influence of dynamic interfacial properties on droplet breakup in plane hyperbolic flow

1997

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Section: Droplet Breakup In Laminar Flows Is Important In Emulsificatsupporting

confidence: 78%

Influence of dynamic interfacial properties on droplet breakup in plane hyperbolic flow

1997

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“…S3). Our definition of cell strain is equivalent to the Taylor deformation parameter (28) historically used to define droplet deformation (29)(30)(31) and adapted to quantify red blood cell deformations (20,24,32). The cell strain measurement was taken at the time point at which the cell was closest to the stagnation point.…”

Section: Cross-slot Deformation Experimentsmentioning

confidence: 99%

Measuring Cell Viscoelastic Properties Using a Microfluidic Extensional Flow Device

Guillou

Dahl

Lin

et al. 2016

Biophysical Journal

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The quantification of cellular mechanical properties is of tremendous interest in biology and medicine. Recent microfluidic technologies that infer cellular mechanical properties based on analysis of cellular deformations during microchannel traversal have dramatically improved throughput over traditional single-cell rheological tools, yet the extraction of material parameters from these measurements remains quite complex due to challenges such as confinement by channel walls and the domination of complex inertial forces. Here, we describe a simple microfluidic platform that uses hydrodynamic forces at low Reynolds number and low confinement to elongate single cells near the stagnation point of a planar extensional flow. In tandem, we present, to our knowledge, a novel analytical framework that enables determination of cellular viscoelastic properties (stiffness and fluidity) from these measurements. We validated our system and analysis by measuring the stiffness of cross-linked dextran microparticles, which yielded reasonable agreement with previously reported values and our micropipette aspiration measurements. We then measured viscoelastic properties of 3T3 fibroblasts and glioblastoma tumor initiating cells. Our system captures the expected changes in elastic modulus induced in 3T3 fibroblasts and tumor initiating cells in response to agents that soften (cytochalasin D) or stiffen (paraformaldehyde) the cytoskeleton. The simplicity of the device coupled with our analytical model allows straightforward measurement of the viscoelastic properties of cells and soft, spherical objects.

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“…Generally, it is assumed that viscoelasticity of both the drop and the matrix phase retards deformation and breakup. However, the change in Ca,,, is not too significant (29)(30)(31). In quasi-equilibrium drop deformation experiments, the deformation rate is probably too small to ensure EQ > 1 so that viscoelasticity is not as significant as in thread breakup where orientational stresses are generated during the formation of the thread.…”

Section: Drop Breakupmentioning

confidence: 99%

Dynamics of liquid‐liquid mixing: A 2‐zone model

Janssen

Meijer

1995

Polymer Engineering & Sci

113

109

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The development of multiphase liquid-liquid morphologies during mixing at small Reynolds numbers has been modeled. The mixing process is divided into i) stretching of dispersed drops, ii) breakup of the liquid threads formed, and iii) coalescence of the final droplets upon collision. Rules and criteria of the distinct processes are presented and combined to a general 2-zone mixing model simplifying the flow field into a sequence of alternating "strong and weak zones." In a "strong zone," dispersed drops and threads are stretched unless their radius is too small: meanwhile, the stretching threads might break up into droplets. In the subsequent "weak zone," the remaining threads may disintegrate while any drops present may coalesce. After passing a number of zones, stretching, breakup, and coalescence lead to a dynamic equilibrium that could be considered as the "final" morphology. Using the 2-zone mixing model, the influence of material parameters and processing conditions on the morphology has been studied. Interestingly, increasing either viscosity (dispersed or continuous phase) yields a finer morphology due to the delay of thread breakup (allowing for further stretching) and suppression of coalescence.

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Deformation and breakup of viscoelastic drops in planar extensional flows

Cited by 134 publications

References 21 publications

Influence of dynamic interfacial properties on droplet breakup in plane hyperbolic flow

Influence of dynamic interfacial properties on droplet breakup in plane hyperbolic flow

Measuring Cell Viscoelastic Properties Using a Microfluidic Extensional Flow Device

Dynamics of liquid‐liquid mixing: A 2‐zone model

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