2016
DOI: 10.1002/aic.15569
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Hydrodynamic drift ratchet scalability

Abstract: The rectilinear "drift" of particles in a hydrodynamic drift ratchet arises from a combination of diffusive motion and particle-wall hydrodynamic interactions, and is therefore dependent on particle diffusivity, particle size, the amplitude and frequency of fluid oscillation and pore geometry. Using numerical simulations, we demonstrate that the drift velocity relative to the pore size is constant across different sized drift ratchet pores, if all the relevant non-dimensional groups (Péclet number, Strouhal nu… Show more

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Cited by 4 publications
(7 citation statements)
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“…This means that a parcel of fluid on the centerline of the pore traverses the length of one repeating ratchet unit over half a period of fluid oscillation [9]. This is consistent with past hydrodynamic drift ratchet studies [9][10][11]17]. Table 2 goes a step further than a simple geometric comparison between pores and shows a functional comparison between what girdle band pores of a diatom in a typical oceanic environment could experience and a previously studied hydrodynamic drift ratchet.…”
Section: Difference In Size Shape and Configuration Of The Poressupporting
confidence: 82%
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“…This means that a parcel of fluid on the centerline of the pore traverses the length of one repeating ratchet unit over half a period of fluid oscillation [9]. This is consistent with past hydrodynamic drift ratchet studies [9][10][11]17]. Table 2 goes a step further than a simple geometric comparison between pores and shows a functional comparison between what girdle band pores of a diatom in a typical oceanic environment could experience and a previously studied hydrodynamic drift ratchet.…”
Section: Difference In Size Shape and Configuration Of The Poressupporting
confidence: 82%
“…where k B is the Boltzmann constant, T is the temperature, μ is the dynamic viscosity and R is the particle radius. Following earlier studies [9,16,17], the particle-wall interactions are modeled via an elastic ballistic reflection condition. While the detailed particle-wall hydrodynamics are not captured by this boundary condition, we have shown [17] that this qualitatively captures the action of the pore wall in generating rectified particle motion.…”
Section: Particle Drift In a Single Ratchet Porementioning
confidence: 99%
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“…The study presented here may provide some elemental physical understanding to achieve the goal of protein, DNA or other macromolecular separation, separation of biological cells, as well as fine mineral particle separation [ 2 7 ] and their transport. There are many features of the current work which point to it complementing the recent analysis on hydrodynamic particle transport in tubes by Herringer et al [ 8 ]. Considering a more direct application, the model and simulation results can facilitate greater understanding of subcutaneous drug delivery.…”
Section: Introductionmentioning
confidence: 55%