. 2015 Apr 9;9(2):024113. doi: 10.1063/1.4917386

TABLE V.

Boundary conditions for steady-state numerical model for single fluid electroosmotic flow.

Variable	Condition	Boundary
Applied potential ϕ	ϕ = 62.5 V	Inlet
	ϕ = 0 V	Outlet
	$n . \nabla ϕ = 0$	Wall and symmetry
Electrostatic potential ψ	$n . \nabla ψ = 0$	Inlet, outlet, and symmetry
Electrostatic potential ψ	$n . \nabla ψ = - \frac{σ_{s}}{ε_{r} ε_{o}}$	Wall
Concentrations of ions c_i	$c_{i} = c_{o (i)} exp (\frac{- z_{i} e ψ}{k_{b} T})$	Inlet and oulet
Concentrations of ions c_i	$- n . [- D_{i} \nabla c_{i} - u_{m (i)} c_{i} \nabla (ϕ + ψ) + u c_{i}] = 0$	Wall and symmetry
Flow velocity u and Pressure p	u = 0	Wall
	n·u = 0^a	Symmetry
	p = 0	Inlet and outlet

^{^a}

n is the unit vector normal to the boundary.