$A$	Cross-sectional permeation area (m2)
$a$	Particle radius (m)
$B$	Buoyancy (pressure gradient) force (N)
$D$	Relative permittivity/Dielectric constant
$D_{diff}$	Diffusivity (m2/s)
${\mathit{D}}_{\mathit{i}\mathit{n}\mathit{d}}$	Electric displacement field/Electric induction (C/m2)
$\mathit{E}$	Electric field strength (V/m)
$E_{crit}$	Critical electric field strength (V/m)
$E_{tot}$	Energy to produce a unit volume of permeate (J/L)
$E_z$	Electric field strength along the z-axis (V/m)
${\mathit{F}}_{DEP}$	Dielectrophoretic force (N)
${\mathit{F}}_{drag}$	Drag force (N)
${\mathit{F}}_E$	Electrophoretic force (N)
${\mathit{F}}_f$	Friction force (N)
${\mathit{F}}_{lift}$	Lift force (N)
$G$	Gravitational force (N)
$g$	Acceleration of gravity (m/s2)
$\mathbf{H}$	Magnetic field strength (A/m)
$\mathbf{J}$	Current density (A/m2)
$J_o$	Initial flux (m/s)
$J_{off}$	Reported final flux with electric field off (m/s)
$J_{on}$	Reported final flux with electric field on (m/s)
$J_{perm}$	Permeate flux (m/s)
$K$	Clausius-Mossotti factor (F/m)
$K_m$	Fluid permeability of the media (d)
$k$	Constant in Hermia’s equation
$I_0$	Bessel function of the first kind of order zero
$I_1$	Bessel function of the first kind of order one
$i$	Unit imaginary number
$L_p$	Membrane permeability (m/s/Pa)
$m_i$	Ionic mobility (m2/s/V)
$N$	Normal force (N)
$n$	Constant in Hermia’s equation
$P$	Pressure (Pa)
$P_e$	Electrical power (W)
$P_L$	Liquid pressure (Pa)
$P_p$	Hydraulic dissipated power (W)
$\mathsf{\Delta }{P}_{TM}$	Transmembrane pressure (Pa)
$Q$	Flow rate (m3/s)
$q$	Particle charge (C)
$q_s$	Separated charge (C)
$R$	Capillary radius (m)
$R_f$	Fouling layer resistance
$R_m$	Membrane resistance (m−1)
$r_s$	Separation distance between the opposite charges (m)
$S_v$	Volumetric specific surface area (m−1)
$T$	Temperature ( °C)
$t$	Time of filtration (s)
$U$	Crossflow (horizontal) profile (m/s)
$u$	Crossflow velocity (m/s)
$V$	Volume of permeate (L)
${\mathit{v}}_{\mathit{e}}$	Electrophoretic velocity (m/s)
$v\left(t\right)$	Flux (vertical) as a function of time (m/s)
$v_w$	Flux velocity (m/s)
$v_{z,av}$	Average electroosmosis velocity along the z-axis (m/s)
$\alpha$	Debye–Hückel parameter
$\delta$	Boundary layer thickness between the capillary wall and the slip plane (m)
$\epsilon$	Permittivity (F/m)
${\epsilon }_0$	Vacuum permittivity (F/m) ${\epsilon }_M$ Permittivity of the medium (F/m)
${\epsilon }_p$	Permittivity of the particle (F/m) $\overline{\epsilon }$ Complex permittivity (F/m)
${\overline{\epsilon }}_M$	Complex permittivity of the medium (F/m)
${\overline{\epsilon }}_p$	Complex permittivity of the particle (F/m)
$\zeta$	Zeta potential (V)
$\eta$	Dynamic viscosity (Pa∙s)
${\lambda }_l$	Specific conductance of liquid (S/m)
$∆\pi$	Osmotic pressure (Pa)
$\mu$ ${\mathsf{\mu }}_{dipole}$	Electrophoretic mobility (m2/V/cm) Dipole moment (C∙m)
$\rho$	Fluid density (kg/m3)
$\sigma$	Osmotic reflection coefficient
γ	Conductivity (S/m)
$\varphi$	Porosity
$\omega$	Angular frequency of the electric field (rad/s)