Analytical model of electro-hydrodynamic flow in corona discharge

Guan, Yifei; Vaddi, Ravi Sankar; Aliseda, Alberto; Novosselov, Igor

doi:10.1063/1.5029403

Cited by 47 publications

(43 citation statements)

References 51 publications

(88 reference statements)

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“…FIG. 1 shows that our hydrostatic solutions for electric field and charge density agree well with the model of Luo et al [18,19] and the analytical solution [30,40]. The analytical solution is based on a reduced set of equations for the electric field in one-dimensional coordinates.…”

Section: Non-dimensional Analysis and Solution For Hydrostatic Statesupporting

confidence: 83%

“…For the hydrostatic state, parameter C dominates the system [12,17]. [18], and the analytical solution [30,40] Table II shows the dimensional parameters used for the analytical solution and the L2 norm error between numerical results and analytical solutions. The numerical errors are lower than reported for the unified SRT LBM simulation ( 2 L e =0.0076) [18].…”

Section: Non-dimensional Analysis and Solution For Hydrostatic Statementioning

confidence: 99%

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Two relaxation time lattice Boltzmann method coupled to fast Fourier transform Poisson solver: Application to electroconvective flow

Guan

Novosselov

2019

Journal of Computational Physics

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I. ABSTRACTElectroconvective flow between two infinitely long parallel electrodes is investigated via a multiphysics computational model. The model solves for spatiotemporal flow properties using two-relaxation-time Lattice Boltzmann Method for fluid and charge transport coupled to Fast Fourier Transport Poisson solver for the electric potential. The segregated model agrees with the previous analytical and numerical results providing a robust approach for modeling electrohydrodynamic flows. II.

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Section: Non-dimensional Analysis and Solution For Hydrostatic Statesupporting

confidence: 83%

Section: Non-dimensional Analysis and Solution For Hydrostatic Statementioning

confidence: 99%

Two relaxation time lattice Boltzmann method coupled to fast Fourier transform Poisson solver: Application to electroconvective flow

Guan

Novosselov

2019

Journal of Computational Physics

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“…Without initial perturbation, the system is hydrostatic, and the electrical properties are onedimensional in the z-direction. [87,88], unified SRT LBM [48], and the analytical solution [85,98] To obtain various equilibrium solutions, for example, as shown in FIG. 2, different initialization (initial perturbation) schemes are applied to the hydrostatic base state.…”

Section: System Linearization and Initializationmentioning

confidence: 99%

Three-dimensional electroconvective vortices in cross flow

2020

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The study focuses on the 3D electro-hydrodynamic (EHD) instability for flow between to parallel electrodes with unipolar charge injection with and without cross-flow. Lattice Boltzmann Method (LBM) with two-relaxation time (TRT) model is used to study flow pattern. In the absence of cross-flow, the base-state solution is hydrostatic, and the electric field is onedimensional. With strong charge injection and high electrical Rayleigh number, the system exhibits electro-convective vortices. Disturbed by different perturbation patterns, such as rolling pattern, square pattern, and hexagon pattern, the flow patterns develop according to the most unstable modes. The growth rate and the unstable modes are examined using dynamic mode decomposition (DMD) of the transient numerical solutions. The interactions between the applied Couette and Poiseuille cross-flows and electroconvective vortices lead to the flow patterns change. When the cross-flow velocity is greater than a threshold value, the spanwise structures are suppressed; however, the cross-flow does not affect the streamwise patterns. The dynamics of the transition is analyzed by DMD. Hysteresis in the 3D to 2D transition is characterized by the non-dimensional parameter Y, a ratio of the coulombic force to viscous term in the momentum equation. The change from 3D to 2D structures enhances the convection marked by a significant increase in the electric Nusselt number. 1 0 cc c t Fe Pattern transition after cross-flow applicationThis section studies the transitions of 3D to 2D patterns by applying the cross-flow to already developed square vortex structures, as shown in FIG. 3(a). With weak cross-flow, the systems transitions to oblique 3D vortex structures (oblique transverse and regular longitudinal structures coexist). The increased cross-flow yields a longitudinal rolling pattern, i.e., transverse structures are fully suppressed . FIG. 11 shows the time evolution of maximum * z u in Couette cross-flow. For lower cross-flow velocities (e.g., u * wall=2.40) and, therefore, weak shear stress, the maximum * z u decreases to an equilibrium value, that is somewhat greater than that for the rolling pattern flow (u * wall =2.75). Interestingly, with further increase in u * wall (e.g., u * wall=3.20), the equilibrium value of * z u may decrease below the value of the rolling pattern.And with even further increasing u * wall (e.g., u * wall=3.84), the equilibrium solution develops an oblique 3D structure with maximum uz that is greater than that of the rolling pattern. However, at u * wall = 3.88, a bifurcation occurs, and the steady-state solution has only 2D streamwise

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“…The classic relationship was derived by Townsend [18] in 1914 and validated for a coaxial corona configuration. Some recent studies modify Townsend's quadratic relationship to better describe the relationship for different electrode configurations [19][20][21][22]. A generalized analytical model for voltage to current and voltage to velocity for EHD driven flow has been recently described [22]; the analytical model has a good agreement with the experimental data in the accelerating flow regions (EHD dominated flow).…”

Section: Corona Discharge Driven Flowmentioning

confidence: 99%

“…Some recent studies modify Townsend's quadratic relationship to better describe the relationship for different electrode configurations [19][20][21][22]. A generalized analytical model for voltage to current and voltage to velocity for EHD driven flow has been recently described [22]; the analytical model has a good agreement with the experimental data in the accelerating flow regions (EHD dominated flow). The analytical study has been extended to determine the voltage-thrust relationship in planar coordinates with and without considering viscous losses and has good agreement with experiments [23] and previous work [24,25].…”

Section: Corona Discharge Driven Flowmentioning

confidence: 99%

A laser-microfabricated electrohydrodynamic thruster for centimeter-scale aerial robots

et al. 2020

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To date, insect scale robots capable of controlled flight have used flapping-wings for generating lift, but this requires a complex and failure-prone mechanism. A simpler alternative is electrohydrodynamic (EHD) thrust, which requires no moving mechanical parts. In EHD, corona discharge generates a flow of ions in an electric field between two electrodes; the high-velocity ions transfer their kinetic energy to neutral air molecules through collisions, accelerating the gas and creating thrust. We introduce a fabrication process for EHD thruster based on 355 nm laser micromachining, which potentially allows for greater materials selection, such as fiber-based composites, than is possible with semiconductor-based lithographic processing. Our four-thruster device measures 1.8 × 2.5 cm and is composed of steel emitters and a lightweight carbon fiber mesh. We measured the electrical current and thrust of each thruster of our four-thruster design, showing agreement with the Townsend relation. The peak thrust of our device, at 5.2 kV, was measured to be 3.03 times its 37 mg (363.0 μN) mass using a precision balance. In free flight, we demonstrated liftoff at 4.6 kV.

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Analytical model of electro-hydrodynamic flow in corona discharge

Cited by 47 publications

References 51 publications

Two relaxation time lattice Boltzmann method coupled to fast Fourier transform Poisson solver: Application to electroconvective flow

Two relaxation time lattice Boltzmann method coupled to fast Fourier transform Poisson solver: Application to electroconvective flow

Three-dimensional electroconvective vortices in cross flow

A laser-microfabricated electrohydrodynamic thruster for centimeter-scale aerial robots

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