Modeling of Strong Wind-Sand Dielectric Streamer Discharge

Table 1

The parameters defined in this paper.

Parameters	Unit symbol	Meaning	Value
E	V/m	Applied electric field
Re	m	Electrode radius
d	m	Gap distance
	m/s	Electron velocity
	m/s	Gas flow velocity
θ	°	Deflection angle
Ke	m^2/(V·s)	Electron mobility
	m	Mean electron free path
e	C	Electronic charge	1.6 × 10^−19
Vi	V	Atomic ionization potential
α	cm^−1	Townsend’s first ionization coefficient
t	s	Time
μ		Blowing away factor
ρ	kg/m^3	Gas density
ρ0	kg/m^3	Static gas density
γa		Specific heat ratio
p	Pa	Gas pressure
Ma		Mach’s number
s	m/s	Speed of sound
dm	m	Effective molecule diameter
NA	mol^−1	Avogadro’s number	6.02 × 10^−23
M		Relative molecular weight
γe		Cathode ionization coefficient
εi		Permittivity of the sand particles
εe		Permittivity of the environment
R	μm	Radius of sand particles
q	C	Charge of sand particles
q0	C	Saturation charge of sand particles
h	m	Distance between sand particles
f		Charge coefficient of sand particles
τ		Constant of charging time
i		Electron current density
n		Electron number
m		Number of sand particles parallel to the electric field direction
c		Attractive parameter of sand particles
U	V	Breakdown voltage
Er	V/m	Space charge field
r	m	Electron diffusion radius
xE	m	Electric field distance
g		Electron collision energy loss coefficient	0.025
ε0	F/m	Permittivity of the vacuum	8.85 × 10^−12
K		Electric field scale factor	1