The effect of interfacial slip on the dynamics of a drop in flow: Part I. Stretching, relaxation, and breakup

Ramachandran, Arun; Tsigklifis, Konstantinos; Roy, Anshuman; Leal, Gary L.

doi:10.1122/1.3663379

Cited by 26 publications

(16 citation statements)

References 51 publications

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“…(4)-(6)) and the set of equations yielding the velocity field due to a given deformation of a deformable object far away from its centre (Eqs. (17), (20)). These two ingredients are enough to produce the deformation of a single object in response to a given external velocity field in the low density regime once the positions of all other objects around it are given.…”

Section: Discussionmentioning

confidence: 95%

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Droplet shape fluctuations in agitated emulsions—Beyond the dilute limit

Frenkel

2015

Physica A: Statistical Mechanics and its Applications

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Section: Discussionmentioning

confidence: 95%

“…Hence, each surface element moves with the velocity of the flow at its position. These are standard conditions, although some recent work suggests that slip conditions may be more appropriate for some liquid emulsions [17]. In addition, both the objects and the host fluid are incompressible.…”

Section: Introductionmentioning

confidence: 98%

Droplet shape fluctuations in agitated emulsions—Beyond the dilute limit

Frenkel

2015

Physica A: Statistical Mechanics and its Applications

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“…where i h is the thickness of the interface and i η represents its viscosity 9,30 . The final boundary condition in equation (5) is the stress balance along the interface.…”

Section: B Governing Equations and Boundary Conditionsmentioning

confidence: 99%

“…In the limiting case of surface-convection dominated surfactant transport ( ) k → ∞ , the respective constants present in the expression of the droplet shape [equation(30)] are given by…”

mentioning

confidence: 99%

Influence of interfacial slip on the suspension rheology of a dilute emulsion of surfactant-laden deformable drops in linear flows

Das

Bhattacharjee

2018

Physics of Fluids

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The present study deals with the effect of interfacial slip on the deformation and emulsion rheology of a dilute suspension of droplets in a linear flow. The droplets are laden with surfactants that are bulk-insoluble and get transported only along the interface. An asymptotic approach is adopted for the present analysis in order to tackle the nonlinearity present due to deformation of droplets. The analysis is carried out under two different limiting scenarios namely: surface diffusion-dominated-surfactant transport and surface convection-dominated surfactant transport. For either of the limiting cases we look into the droplet dynamics for two commonly encountered bulk flows -uniaxial extensional and simple shear flow. Under the assumption of negligible fluid inertia in either phase, it is shown that slip at the droplet interface significantly affects the surfactant-induced Marangoni stress and hence droplet deformation and emulsion rheology. Presence of interfacial slip not only brings about a decrease in the droplet deformation but also reduces the effective viscosity of the emulsion. The fall in both droplet deformation and effective viscosity is found to be more severe for the limiting case of surface convection-dominated surfactant transport. For the case of an imposed simple shear flow, the normal stress differences generated due to droplet deformation are affected as well due to the presence of interfacial slip. † E-mail address for correspondence: suman@mech.iitkgp.ernet.in studies deals with the effect of interfacial slip on the droplet dynamics 9,30-32 . Ramachandran and Leal 9 studied the effect of interfacial slip on the rheology and dynamics of a dilute emulsion of droplets suspended in linear flows. They showed that increase in the slip at the interface reduces both the droplet deformation as well as the effective viscosity of the emulsion.Recently, Vlahovska et al. and Mandal et al. 12,14 investigated the effect of surfactants on the deformation characteristics as well as the emulsion rheology of a dilute suspension of droplets in linear flows. However, there is no study available in the literature that puts forward the effect of interfacial slip on the dynamics of a surfactant-laden droplet. Surfactants at the droplet surface bring in alterations in the interfacial rheology that promotes the presence of interfacial slip, which is quite realistic in any multiphase system and is found to possess a significant effect on droplet dynamics 9,31 . This is the prime objective of the present study. It is seen that interfacial slip induces a greater stability to the emulsion by reducing the droplet deformation brought about by the imposed linear flow. Also, it reduces the effective viscosity of the suspension. It is observed that there is a good match between our theoretical prediction and previously performed experiments when the effect of interfacial slip is taken into consideration in our analysis. For the limiting case of convection dominated surfactant transport, the influence of slip is found to be h...

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“…Besides (Ca) c , time of the droplet breakup and number and size distribution of the droplet fragments are needed to predict the droplet size in a flowing polymer blend. It was found that droplets could burst by various mechanisms (step‐wise, transient, tip‐streaming, end‐pinching, erosion) in dependence on system parameters . Equations describing droplet breakup are solvable only numerically; furthermore, experimental determination of breakup time and number and size distribution of droplet fragment simultaneously is not easy .…”

Section: Introductionmentioning

confidence: 99%

Prediction of the Phase Structure Evolution during Processing of Polymer Blends. Results and Problems

Fortelný¹,

Jůza²

2016

Macromolecular Symposia

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Summary: The paper summarizes state of art in the description of the droplet breakup, coalescence, and competition between them in flowing immiscible polymer blends. It has been shown that, in contrast to the conditions for the start of droplet breakup, knowledge of the dependence of the droplet breakup frequency on system parameters is quite limited. It has been demonstrated that the switch between expressions for the matrix drainage between spherical and highly deformed droplets leads to a reasonable description of the flow induced coalescence. This method makes it possible to include the effect of the matrix elasticity into the calculation of the probability of coalescence. The analysis of the competition between the droplet breakup and coalescence leads to the conclusion that knowledge of the mechanism and frequency of the droplet breakup is essential for at least qualitative prediction of the droplet size dependence on system parameters.

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The effect of interfacial slip on the dynamics of a drop in flow: Part I. Stretching, relaxation, and breakup

Cited by 26 publications

References 51 publications

Droplet shape fluctuations in agitated emulsions—Beyond the dilute limit

Droplet shape fluctuations in agitated emulsions—Beyond the dilute limit

Influence of interfacial slip on the suspension rheology of a dilute emulsion of surfactant-laden deformable drops in linear flows

Prediction of the Phase Structure Evolution during Processing of Polymer Blends. Results and Problems

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