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In a previous study ͓M. Hameed et al., J. Fluid Mech. 594, 307 ͑2008͔͒ the authors investigated the influence of insoluble surfactant on the evolution of a stretched, inviscid bubble surrounded by a viscous fluid via direct numerical simulation of the Navier–Stokes equations, and showed that the presence of surfactant can cause the bubble to contract and(More)
We theoretically investigate the deformation of a viscous drop covered with non-diffusing insoluble surfactant under a uniform DC electric field. At equilibrium, sur-factant immobilizes the spheroidal drop surface and completely suppresses the fluid flow. In this work we focus on the equilibrium electro-deformation of a surfactant-laden drop in the leaky(More)
Mechanosensation is crucial for cells to sense and respond to mechanical signals within their local environment. While adaptation allows a sensor to be conditioned by stimuli within the environment and enables its operation in a wide range of stimuli intensities, the mechanisms behind adaptation remain controversial in even the most extensively studied(More)
We investigate the long-wave nonlinear dynamics of an inextensible capacitive elastic membrane under electric fields. In the lubrication framework we derive a nonlinear equation for the membrane height with an integral constraint. Linear analysis on the tension-less membrane in a dc field gives the linear growth rate in terms of membrane conductance and(More)
We study the effect of surface tension on the incompressible Rayleigh–Taylor instability. We modify Goncharov's local analysis [1] to consider the surface tension effect on the Rayleigh–Taylor bubble velocity. The surface tension damps the linear instability and reduces the nonlinear terminal bubble velocity. We summarize the development of a finite-volume,(More)
A numerical scheme based on the immersed interface method (IIM) is developed to simulate the dynamics of an axisymmetric viscous drop under an electric field. In this work, the IIM is used to solve both the fluid velocity field and the electric potential field. Detailed numerical studies on the numerical scheme show a second-order convergence. Moreover, our(More)
In this work we investigate the dynamics of a non-motile primary cilium in time-periodic flows. The primary cilium is modeled as an elastic slender filament coupled to an elastic sheet with a local torque (mimicking the sub-axonemal anchorage) at the filament-sheet junction. We examine how a primary cilium responds to time-periodic flows depending on its(More)
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