Large-deformation electrohydrodynamics of an elastic capsule in a DC electric field

Das, Sudip; Thaokar, Rochish

doi:10.1017/jfm.2018.89

Cited by 13 publications

(16 citation statements)

References 70 publications

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“…The electrohydrodynamic steady-state deformation of a spherical capsule is independent of the conductivity ratio [Das and Thaokar, 2017], whereas for a biconcave-discoid capsule the steadystate deformation is strongly dependent on the conductivity ratio. The analysis showed that when σ r = 0.1, high Ca e can only lead to the breakup, whereas for σ r = 10, capsule attains a steady-state deformed shape.…”

Section: Discussionmentioning

confidence: 94%

Deformation of a biconcave-discoid capsule in extensional flow and electric field

2018

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Biconcave-discoid (empirical shape of a red blood cell) capsule finds numerous applications in the field of bio-fluid dynamics and rheology, apart from understanding the behavior of red blood cells (RBC) in blood flow. A detailed analysis is, therefore, carried out to understand the effects of the uniaxial extensional flow and electric field on the deformation of a RBC and biconcave-discoid polymeric capsule in the axisymmetric regime. The transient deformation is computed numerically using axisymmetric boundary integral method for Stokes flow considering the Skalak membrane constitutive law as the model for the area incompressible RBC/biconcave-discoid capsule membrane. A remarkable biconcave-discoid to prolate spheroid transition is observed when the elastic energy is overcome by the viscous or Maxwell electric stresses. Moreover, the significance of membrane stresses developed during the deformation and at steady state and different modes of deformation are presented. This study should be useful in designing an artificial system involving biological cells under an electric field. arXiv:1801.01971v2 [cond-mat.soft]

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Section: Discussionmentioning

confidence: 94%

Deformation of a biconcave-discoid capsule in extensional flow and electric field

2018

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“…where G E (x, x 0 ) = 1 4π|x| is the Green function for Laplace's equation, φ ∞ = −y is the applied potential and x = x−x 0 , where x is the observation or load point and x 0 is the pole or source point. 13,18 The Ohmic current dominates the electrical current continuity across a lipid bilayer membrane (t bcr ≪ 1); the non-dimensional form of the electrical current continuity equation is obtained as…”

Section: Model Formulation and Solution Methodsmentioning

confidence: 99%

“…Thus, a few 2D [11][12][13][14] and 3D [15][16][17] computational analyses could underpin the physics of the problem. The mechanism was elaborated by Das and Thaokar, 18,19 although in the context of elastic capsules. It is now understood that the Maxwell stress, which is compressive at the poles and the equator when the time is of the order of membrane charging time, at a high electric field strength is responsible for the cylindrical shape (squaring in 2D) of vesicles.…”

Section: Introductionmentioning

confidence: 99%

Effect of pulse width on the dynamics of a deflated vesicle in unipolar and bipolar pulsed electric fields

Das,

Jaeger,

Leonetti

et al. 2020

Preprint

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Giant unilamellar vesicles (GUVs) under pulsed direct current (pulsed-DC) fields are promising biomimetic systems to investigate electroporation of cells and vesicles. A question of relevance is the shape deformation of a vesicle when a DC-pulse is applied. Previous theoretical studies have looked at vesicles in DC fields (which are not pulsed). However, a pulsed-DC field yields electric stresses that can push a long time prolate spheroidal shape into an oblate spheroid. In this work, we computationally investigate the deformation of a vesicle under unipolar, bipolar, and two-step unipolar pulses. Our study indicates that the transmembrane potential can be regulated using a bipolar pulsed-DC field. For the ratio of inner to outer fluid conductivity, σ r = 10, the shape always remains prolate, including when the field is turned off. For σ r = 0.1 and the electric field strength β (the ratio of electric to viscous force), β < β c , where β c is a critical electric field strength, the vesicle remains prolate. On the other hand, for β > β c , a metastable oblate equilibrium shape is predicted in pulsed-DC fields similar to that in the DC field. A prolate-to-oblate transition on turning off the field is an important characteristic of the dynamics in unipolar and bipolar pulsed-DC electric fields. When a two-step unipolar pulse (a combination of a strong and a weak subpulse) is applied, a vesicle can reach an oblate or a prolate final shape depending upon the relative durations of the two subpulses. The simulation results can be demonstrated in an experiment under typical experimental conditions.

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“…Subsequently, the validation of the model was reported, and more accurate models emerged [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ]. Recent EHD studies have explored more complex EHD interface topologies related to multiple phase emulsion droplets, and also covered the broader aspects, such as the emulsion instabilities, breakups, and particles manipulation at the emulsion interface forming novel colloidal assemblies [ 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 ]. Though it has been almost six decades since the research in this area commenced, it is only until recently that a few studies pertaining to the droplet EHD with applicative prospects have been reported [ 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 ,…”

Section: Introductionmentioning

confidence: 99%

Electro-Hydrodynamics of Emulsion Droplets: Physical Insights to Applications

et al. 2020

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The field of droplet electrohydrodynamics (EHD) emerged with a seminal work of G.I. Taylor in 1966, who presented the so-called leaky dielectric model (LDM) to predict the droplet shapes undergoing distortions under an electric field. Since then, the droplet EHD has evolved in many ways over the next 55 years with numerous intriguing phenomena reported, such as tip and equatorial streaming, Quincke rotation, double droplet breakup modes, particle assemblies at the emulsion interface, and many more. These phenomena have a potential of vast applications in different areas of science and technology. This paper presents a review of prominent droplet EHD studies pertaining to the essential physical insight of various EHD phenomena. Here, we discuss the dynamics of a single-phase emulsion droplet under weak and strong electric fields. Moreover, the effect of the presence of particles and surfactants at the emulsion interface is covered in detail. Furthermore, the EHD of multi-phase double emulsion droplet is included. We focus on features such as deformation, instabilities, and breakups under varying electrical and physical properties. At the end of the review, we also discuss the potential applications of droplet EHD and various challenges with their future perspectives.

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Large-deformation electrohydrodynamics of an elastic capsule in a DC electric field

Cited by 13 publications

References 70 publications

Deformation of a biconcave-discoid capsule in extensional flow and electric field

Deformation of a biconcave-discoid capsule in extensional flow and electric field

Effect of pulse width on the dynamics of a deflated vesicle in unipolar and bipolar pulsed electric fields

Electro-Hydrodynamics of Emulsion Droplets: Physical Insights to Applications

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