Abstract
Abstract
Highlights
Dielectrophoresis is defined as the motion of matter caused by polarization effects in a nonuniform electric field (Pohl 1958, 1978)
We consider a general multiphysics model describing the dynamics of an interface between two viscous fluids in a periodic half-plane, under the influence of dielectrophoresis forces
The thin film asymptotic model for a viscous film flow over a step on an inclined plane is compared to a Stokes flow based boundary element model. We consider both asymptotic and boundary integral techniques to study the motion of a thin viscous film under the influence of dielectrophoresis forces arising from a spatially-periodic potential applied at its base, and apply these formulations to the experimental results of Brown et al (2009) wherein the potential arises from an array of interdigitated electrodes. Thereby, we provide both fully-numerical and reduced descriptions that allows consideration of the full film surface dynamics for arbitrary electrode arrangement, and which are valid across a range of film thicknesses
Summary
Dielectrophoresis is defined as the motion of matter caused by polarization effects in a nonuniform electric field (Pohl 1958, 1978). We consider both asymptotic and boundary integral techniques to study the motion of a thin viscous film under the influence of dielectrophoresis forces arising from a spatially-periodic potential applied at its base, and apply these formulations to the experimental results of Brown et al (2009) wherein the potential arises from an array of interdigitated electrodes. Thereby, we provide both fully-numerical and reduced descriptions that allows consideration of the full film surface dynamics for arbitrary (periodic) electrode arrangement, and which are valid across a range of film thicknesses.
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