Erratum: “Influence of an electric field on the non-Newtonian response of a hybrid-aligned nematic cell under shear flow” [J. Chem. Phys. 126, 204905 (2007)]

2007 ◽  
Vol 127 (5) ◽  
pp. 059901 ◽  
Author(s):  
A. David Guillén ◽  
Carlos I. Mendoza
Keyword(s):  
Shear Flow ◽  
Electric Field ◽  
Chem Phys

Dynamics of a compound droplet under the combined influence of electric field and shear flow

2021 ◽  
Vol 6 (2) ◽  
Author(s):  
Manash Pratim Borthakur ◽  
Binita Nath ◽  
Gautam Biswas
Keyword(s):  
Shear Flow ◽  
Electric Field ◽  
Compound Droplet

Numerical study of electric field effects on the deformation of two-dimensional liquid drops in simple shear flow at arbitrary Reynolds number

2009 ◽  
Vol 626 ◽  
pp. 367-393 ◽  
Author(s):  
STEFAN MÄHLMANN ◽  
DEMETRIOS T. PAPAGEORGIOU
Keyword(s):  
Steady State ◽  
Shear Flow ◽  
Electric Field ◽  
Electric Fields ◽  
Simple Shear ◽  
Simple Shear Flow ◽  
Physical Parameters ◽  
Shear Stresses ◽  
Two Dimensional ◽  
Liquid Drops

The effect of an electric field on a periodic array of two-dimensional liquid drops suspended in simple shear flow is studied numerically. The shear is produced by moving the parallel walls of the channel containing the fluids at equal speeds but in opposite directions and an electric field is generated by imposing a constant voltage difference across the channel walls. The level set method is adapted to electrohydrodynamics problems that include a background flow in order to compute the effects of permittivity and conductivity differences between the two phases on the dynamics and drop configurations. The electric field introduces additional interfacial stresses at the drop interface and we perform extensive computations to assess the combined effects of electric fields, surface tension and inertia. Our computations for perfect dielectric systems indicate that the electric field increases the drop deformation to generate elongated drops at steady state, and at the same time alters the drop orientation by increasing alignment with the vertical, which is the direction of the underlying electric field. These phenomena are observed for a range of values of Reynolds and capillary numbers. Computations using the leaky dielectric model also indicate that for certain combinations of electric properties the drop can undergo enhanced alignment with the vertical or the horizontal, as compared to perfect dielectric systems. For cases of enhanced elongation and alignment with the vertical, the flow positions the droplets closer to the channel walls where they cause larger wall shear stresses. We also establish that a sufficiently strong electric field can be used to destabilize the flow in the sense that steady-state droplets that can exist in its absence for a set of physical parameters, become increasingly and indefinitely elongated until additional mechanisms can lead to rupture. It is suggested that electric fields can be used to enhance such phenomena.

Electric field induced dynamics of viscoplastic droplets in shear flow

2020 ◽  
Vol 32 (9) ◽  
pp. 092110
Author(s):  
Binita Nath ◽  
Manash Pratim Borthakur ◽  
Gautam Biswas
Keyword(s):  
Shear Flow ◽  
Electric Field

Droplet Deformation and Breakup due to Shear Flow and Electric Field in a Confined Geometry

2018 ◽  
Author(s):  
Rattandeep Singh ◽  
Supreet Singh Bahga ◽  
Amit Gupta
Keyword(s):  
Shear Flow ◽  
Field Strength ◽  
Electric Field ◽  
Electric Field Strength ◽  
Threshold Value ◽  
Droplet Breakup ◽  
Droplet Deformation ◽  
Spherical Droplet ◽  
Low Viscosity ◽  
Boltzmann Method

In this work, the behavior of a spherical droplet suspended in a confined shear flow and subjected to an external electric field has been investigated. The continuous and dispersed fluids are treated as leaky dielectrics. The subsequent flow has been computed numerically using a low spurious current, multi-component lattice Boltzmann method coupled with a leaky dielectric model. The numerical model has been validated by analyzing droplet deformation due to shear flow and electric field separately. The results obtained are shown to be in good agreement with earlier published analytical solutions. Droplet elongation predicted by our simulations rises with increase in the electric field strength. Beyond a threshold value of electric field, breakup of droplet into smaller droplets is observed. Droplet breakup in case of fluids with equal viscosity is observed at low electric field strength as compared to low viscosity ratio drops.

Boundary effects on electro-magneto-phoresis

2009 ◽  
Vol 622 ◽  
pp. 195-207 ◽  
Author(s):  
EHUD YARIV ◽  
TOUVIA MILOH
Keyword(s):  
Particle Size ◽  
Electric Field ◽  
Asymptotic Expansions ◽  
Hydrodynamic Force ◽  
Chem Phys ◽  
Boundary Effects ◽  
Leading Order ◽  
Conducting Liquid ◽  
Lorentz Forces ◽  
Unbounded Fluid

The effect of a remote insulating boundary on the electro-magneto-phoretic motion of an insulating spherical particle suspended in a conducting liquid is investigated using an iterative reflection scheme developed about the unbounded-fluid-domain solution of Leenov & Kolin (J. Chem. Phys., vol. 22, no. 4, p. 683). Wall-induced corrections result from velocity reflections, successively introduced so as to maintain the no-slip condition on the wall and particle boundaries, as well as from the Lorentz forces associated with comparable reflections of the electric field. This method generates asymptotic expansions in λ (≪1), the ratio of particle size to particle–wall separation. The leading-order correction to the hydrodynamic force on the particle appears atO(λ3); it is directed along the leading-order force and tends to augment it.

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