Perturbative Two-Way Plasma-Fluid interactions
ORAL
Abstract
Modeling the coupling of corona discharge with drift-diffusion fluid models is relevant to many applications such as electro precipitators, electronic cooling, and recently (sub)-atmospheric propulsion [1-2].
Fluid flow back coupling onto charge’s drift-diffusion is generally neglected as electro-drift charge velocity is much larger than fluid advection onto the charges: an approximation called “one-way coupling” (as in [3]). In this contribution, this approximation is analytically derived from constitutive laws providing a derivation of the standard “one-way” approximation and further corrections for high external flow velocity from a perturbative approach following the ratio between the fluid and the charge electro-drift velocity.
The resulting equations are numerically solved to find steady solutions using a multi-scaled two-domain method [4] within a finite-element formulation. Combining automatically adapted meshes with proper SUPG-stabilization, the numerical models is able to solve the Electrohydrodynamic fields within complex configurations. Our simulations predict a near-linear dependence of the electric current with velocity and successfully compares it with recent experimental measurements [7-8].
Furthermore, electric-field lines topology modifications by the external flow have been studied in various configurations showing charge collection region shrinking with increasing external velocity, and complex reorganization of the electric-field lines. This contribution focuses on exploring relevant configurations so as to give more insight into those little explored plasma-fluid interactions.
[1] S. Chapman. Corona point current in wind, J. of Geophysical Research 1970
[2] I. P. Raızer. Gas discharge physics. Springer.
[3] Francesco Picella, David Fabre, and Franck Plouraboué. Numerical Simulations of Ionic Wind Induced by Positive DC-Corona Discharges. AIAA Journal, 2024.
[4] Nicolas Monrolin and Franck Plouraboué. Multi-scale two-domain numerical modeling of stationary positive DC corona discharge/drift-region coupling. Journal of Computational Physics
[5] C. Guerra-Garcia, et al. J. of Geophysical Research 2020,
[6] S. Grosse, N. Benard, E. Moreau, J. Electrostatic, 2024
Fluid flow back coupling onto charge’s drift-diffusion is generally neglected as electro-drift charge velocity is much larger than fluid advection onto the charges: an approximation called “one-way coupling” (as in [3]). In this contribution, this approximation is analytically derived from constitutive laws providing a derivation of the standard “one-way” approximation and further corrections for high external flow velocity from a perturbative approach following the ratio between the fluid and the charge electro-drift velocity.
The resulting equations are numerically solved to find steady solutions using a multi-scaled two-domain method [4] within a finite-element formulation. Combining automatically adapted meshes with proper SUPG-stabilization, the numerical models is able to solve the Electrohydrodynamic fields within complex configurations. Our simulations predict a near-linear dependence of the electric current with velocity and successfully compares it with recent experimental measurements [7-8].
Furthermore, electric-field lines topology modifications by the external flow have been studied in various configurations showing charge collection region shrinking with increasing external velocity, and complex reorganization of the electric-field lines. This contribution focuses on exploring relevant configurations so as to give more insight into those little explored plasma-fluid interactions.
[1] S. Chapman. Corona point current in wind, J. of Geophysical Research 1970
[2] I. P. Raızer. Gas discharge physics. Springer.
[3] Francesco Picella, David Fabre, and Franck Plouraboué. Numerical Simulations of Ionic Wind Induced by Positive DC-Corona Discharges. AIAA Journal, 2024.
[4] Nicolas Monrolin and Franck Plouraboué. Multi-scale two-domain numerical modeling of stationary positive DC corona discharge/drift-region coupling. Journal of Computational Physics
[5] C. Guerra-Garcia, et al. J. of Geophysical Research 2020,
[6] S. Grosse, N. Benard, E. Moreau, J. Electrostatic, 2024
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Presenters
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José M Marques
CNRS (Toulouse Institut of Fluid Mechanics)
Authors
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José M Marques
CNRS (Toulouse Institut of Fluid Mechanics)
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Franck Plouraboue
IMFT / MIR
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David Fabre
Toulouse Institute of Fluid Mechanics