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Research Papers: Flows in Complex Systems

Numerical Modeling of Dielectric Barrier Discharge Plasma Actuation

[+] Author and Article Information
Hua Shan

Naval Surface Warfare
Center—Carderock Division,
9500 MacArthur Boulevard,
West Bethesda, MD 20817-5700
e-mail: hua.shan@navy.mil

Yu-Tai Lee

Naval Surface Warfare
Center—Carderock Division,
9500 MacArthur Boulevard,
West Bethesda, MD 20817-5700

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 11, 2015; final manuscript received September 21, 2015; published online January 5, 2016. Assoc. Editor: Shizhi Qian.This material is declared a work of the U.S. Government and is not subject to copyright protection in the United States. Approved for public release; distribution is unlimited.

J. Fluids Eng 138(5), 051104 (Jan 05, 2016) (18 pages) Paper No: FE-15-1321; doi: 10.1115/1.4031880 History: Received May 11, 2015; Revised September 21, 2015

A computational method has been developed to couple the electrohydrodynamic (EHD) body forces induced by dielectric barrier discharge (DBD) actuation with unsteady Reynolds-Averaged Navier–Stokes (URANS) model or large eddy simulation (LES) for incompressible flows. The EHD body force model is based on solving the electrostatic equations for electric potential and net charge density. The boundary condition for net charge density on the dielectric surface is obtained from a space–time lumped-element (STLE) circuit model or an empirical model. The DBD–URANS/LES coupled solver has been implemented using a multiple-domain approach and a multiple subcycle technique. The DBD plasma-induced flow in a quiescent environment is used to validate the coupled solver, evaluate different EHD body force models, and compare the performance of the actuator driven by voltage with various waveforms and amplitudes.

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References

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Figures

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Fig. 3

Typical computational domains and boundary conditions: (a) external electric potential and (b) net charge density

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Fig. 5

STLE parallel circuit networks: (a) one element and (b) entire plasma region

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Fig. 4

Schematic sketch of air elements (solid line) and dielectric elements (dashed line)

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Fig. 2

Schematic sketch of electrodes (in black), plasma region (triangular region), and body force distribution in LEBF model

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Fig. 8

Dimensions and layout of the DBD plasma actuator

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Fig. 9

Meshes for flow domain (black), electric potential (gray), and charge density (light gray)

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Fig. 1

DBD plasma actuator

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Fig. 6

Flow chart of solution procedure

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Fig. 13

Space–time distribution of net charge density on the dielectric surface: (a) STLE model and (b) empirical model

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Fig. 14

Contours of velocity magnitude and velocity vector obtained from the LEBF model

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Fig. 15

Mean velocity profile at x = 20 mm in comparison with experiment (sine waveform, amplitude = 8 kV, frequency = 3 kHz)

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Fig. 16

Contours of EHD body force magnitude—comparison between different models with the applied AC sine waveform of 8 kV and 3 kHz: (a) electrostatic model with STLE circuit model, (b) electrostatic model with empirical distribution model, and (c) LEBF model

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Fig. 10

Snap shots of contours of velocity magnitude and velocity vector at time t = 0.5, 1, 1.5, 2, 3, 4, 5, and 10 ms

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Fig. 11

Mean velocity profile at x = 20 mm in comparison with experiment

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Fig. 12

Normalized mean velocity profiles at various locations in comparison with experiment

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Fig. 17

Different waveforms of applied voltage: (a) sine, (b) square, (c) pulse, and (d) pulseAMsine

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Fig. 18

Space–time distribution of net charge density on the dielectric surface obtained from STLE model: (a) sine, (b) square, and (c) pulse

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Fig. 21

Time history of electrical power (solid line), EHD body force thrust (dashed-dotted line), and applied voltage (dashed line): (a) sine, (b) square, (c) pulse, and (d) pulseAMsine

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Fig. 22

Time history flow kinetic energy (solid line) and applied voltage (dashed line): (a) sine, (b) square, (c) pulse, and (d) pulseAMsine

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Fig. 25

Efficiency for (a) average and (b) peak power versus applied voltage

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Fig. 26

(a) Average and (b) peak EHD body force thrust versus applied voltage

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Fig. 27

(a) Average and (b) peak flow kinetic energy versus applied voltage

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Fig. 19

Schematic sketch of (a) backward and (b) forward discharge

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Fig. 20

Time series of photomultiplier tube output (top) that is viewing ionized air light emission at one location over electrode covered by dielectric, and corresponding AC input (bottom) to plasma actuator (from Ref. [5])

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Fig. 23

(a) Average and (b) peak electrical power versus applied voltage

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Fig. 24

(a) Average and (b) peak EHD body force power versus applied voltage

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Fig. 29

Mean EHD body force thrust versus RMS of applied voltage

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Fig. 28

Average electrical power versus RMS of applied voltage

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