n	Director
$F_i$	External body force per unit mass
$G_i$	Generalized body force
ρ	Density
$W_F$	Elastic energy density for nematic
λ	Lagrange multiplier
p	Pressure
$t_{ij}$	Viscous stress
$g_i$	Vector
K	Free energy
${\mathsf{\alpha }}_{\mathrm{i}}$	Viscosity coefficient
$\overline{v}$	Velocity of director
h	Channel half-width
Φ	Angle with z axis
c	Constan
g	Dimensionless pressure gradient
G	Pressure gradient
V	Velocity of the upper plate in Couette flow
g*	Critical dimensional pressure gradient
Vthreshold	Threshold velocity of the upper plane