Velocity distribution on the Masuda panel

Hemstreet, James M.

doi:10.1016/0304-3886(85)90025-7

Cited by 14 publications

(5 citation statements)

References 1 publication

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“…(4), and include the N = 3 case studied earlier [13]. The Shannon-Nyquist theorem [14,15] demands N > 2 for effective transport, in agreement with experiments [16]. The solution for N = 128 is indistinguishable graphically from Eq.…”

Section: D Stationary-electrode Modelmentioning

confidence: 48%

Velocity plateaus in traveling-wave electrophoresis

Correll

Edwards

2012

Phys. Rev. E

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Section: D Stationary-electrode Modelmentioning

confidence: 48%

Velocity plateaus in traveling-wave electrophoresis

Correll

Edwards

2012

Phys. Rev. E

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“…In the 2D EC the additional force of gravity in the equations of motion make the system codimension 3. For the rest of this discussion we set g = 0.1 because for certain values of A and β it is found to produce results on a convenient dimensionless timescale that are similar to those discussed in the literature 5,13,16,17,[34][35][36] . It is worth clarifying this choice of g because it may seem that g = 0.1 and our choice of A values in the 1D EC section violate the inequality in Eq.…”

Section: Two Dimensional Regimementioning

confidence: 99%

“…This may be in part due to the fact that particle dynamics induced by an EC are complex and still not well understood. The motion of particles in EC fields has been studied both experimentally and computationally by a number of investigators [7][8][9][10][11][12][13][14] . These investigations have shown a variety of different propagating and stationary modes, including the recent report of intermittent changes of many-body particle motion discovered by Chesnutt and Marshall 15 in a discrete-element simulation of transport on inclined ECs.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of particles excited by an electric curtain

Myers

Marshall

2013

Journal of Applied Physics

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1The use of the electric curtain (EC) has been proposed for manipulation and control of particles in various applications. The EC studied in this paper is called the 2-phase EC, which consists of a series of long parallel electrodes embedded in a thin dielectric surface. The EC is driven by an oscillating electric potential of a sinusoidal form where the phase difference of the electric potential between neighboring electrodes is 180 degrees. We investigate the one-and two-dimensional nonlinear dynamics of a particle in an EC field. The form of the dimensionless equations of motion is codimension two, where the dimensionless control parameters are the interaction amplitude (A) and damping coefficient (β). Our focus on the one-dimensional EC is primarily on a case of fixed β and relatively small A, which is characteristic of typical experimental conditions. We study the nonlinear behaviors of the one-dimensional EC through the analysis of bifurcations of fixed points in the Poincaré sections. We analyze these bifurcations by using Floquet theory to determine the stability of the limit cycles associated with the fixed points in the Poincaré sections. Some of the bifurcations lead to chaotic trajectories where we then determine the strength of chaos in phase space by calculating the largest Lyapunov exponent. In the study of the two-dimensional EC we independently look at bifurcation diagrams of variations in A with fixed β and variations in β with fixed A. Under certain values of β and A, we find that no stable trajectories above the surface exists; such chaotic trajectories are described by a chaotic (strange) attractor, for which the the largest Lyapunov exponent is found. We show the well-known stable oscillations between two electrodes come into existence for variations in A and the transitions between several distinct regimes of stable motion for variations in β.

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“…In comparison to the large number of studies on traveling waves on electric curtains, relatively little attention has been paid to particle motion in a standing-wave electric curtain. According to Hemstreet [24] the particle motion in a standing-wave curtain can be subjected to two movement modes. In one mode, the particle levitates above the surface and oscillates back and forth without leaving the curtain.…”

Section: Introductionmentioning

confidence: 99%

Mechanics of Particle Motion in a Standing Wave Electric Curtain: A Numerical Study

2023

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Electrostatic curtains can be simple and yet efficient devices to manipulate micronized particles on flat surfaces. This paper aims to investigate the motion of a 60 µm dielectric particle on the surface of a standing-wave conveyor. The study is based on a numerical model that accounts for the many forces that could potentially influence the particle motion. For that purpose, a numerical calculation of electric field and particle movement was carried out. The particle position above the curtain surface is obtained by a resolution of the dynamic equations using the Runge–Kutta method. The electric field distribution in the space above the curtain is obtained by a finite element calculation of the Laplace equation. The simulation results demonstrated a net dependence of the particle trajectory and movement modes on applied voltage frequency. Overall, low frequencies, typically below 50 Hz, allow for higher levitation and better displacement of the particle over long distances. Conversely, higher frequencies significantly reduce levitation and displacement distance. Moreover, at higher frequencies (around 500 Hz), the particle can vibrate between electrodes without any displacement at all. It is then inferred that low frequency is needed to better carry particles using a standing-wave curtain.

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Velocity distribution on the Masuda panel

Cited by 14 publications

References 1 publication

Velocity plateaus in traveling-wave electrophoresis

Velocity plateaus in traveling-wave electrophoresis

Nonlinear dynamics of particles excited by an electric curtain

Mechanics of Particle Motion in a Standing Wave Electric Curtain: A Numerical Study

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