AI Article Synopsis

  • The study presents a hybrid lattice Boltzmann-finite difference method to effectively solve the Taylor-Melcher leaky-dielectric model for electric field-induced fluid flows with varying electrical properties.
  • The approach incorporates direction-specific continuous gradients to accurately manage interfacial discontinuities and maintain bulk electroneutrality, improving upon existing models.
  • The research highlights the significant influence of surface charge convection on droplet deformation, noting strong effects in oblate deformations and weaker impacts in prolate ones, with insights into the nonlinear behavior across different deformation regimes.

Article Abstract

Electric field-induced flows involving multiple fluid components with a range of different electrical properties are described by the coupled Taylor-Melcher leaky-dielectric model. We present a lattice Boltzmann (LB)-finite difference (FD) method-based hybrid framework to solve the complete Taylor-Melcher leaky-dielectric model considering the nonlinear surface charge convection effects. Unlike the existing LB-based models, we treat the interfacial discontinuities using direction-specific continuous gradients, which prevents the miscalculation arising due to volumetric gradients without directional derivatives, simultaneously maintaining the electroneutrality of the bulk. While fluid transport is recovered through the LB method using a multiple relaxation time (MRT) scheme, the FD method with a central difference scheme is applied to discretize the charge transport equation at the interface, in addition to the electric field governing equations in the bulk and at the interface. We apply the developed numerical model to study the different regimes of droplet deformation due to an external electric field. Similar to the existing analytical and other numerical models, excluding the surface charge convection (SCC) term from the charge transport equation, the present methodology has shown excellent agreement with the existing literature. In addition, the effect of SCC in each of the regimes is analyzed. With the present numerical model, we observe a strong presence of SCC in the oblate deformation regime, contrary to the weak effect on prolate deformations. We further discuss the reason behind such differences in the magnitude of nonlinearity induced by the SCC in all the regimes of deformation.

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Source
http://dx.doi.org/10.1103/PhysRevE.107.065305DOI Listing

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