$\mathbf{j}$	total momentum, $\left[\frac{\mathrm{kg}}{{\mathrm{m}}^2·\mathrm{s}}\right]$
$\mathbf{l}$	flux of mass concentration of particles, $\left[\frac{\mathrm{kg}}{{\mathrm{m}}^2·\mathrm{s}}\right]$
${\eta }_f$	dynamic viscosity of fluid phase, [cp]
${\eta }_s$	dynamic viscosity of solid phase, [cp]
${\eta }_s^0$	consistency of solid phase, [cp]
$\tau$	yield stress of the solid phase, [cp/s]
k	interphase friction, $\left[\frac{\mathrm{kg}}{{\mathrm{m}}^3·\mathrm{s}}\right]$
B	gravitation mobility, [s]
$\frac{d_s}{dt}$	differential operator of material derivative related to velocity ${\mathbf{v}}_s$
$\frac{d_f}{dt}$	differential operator of material derivative related to velocity ${\mathbf{v}}_f$
$\frac{d}{dt}$	differential operator of material derivative related to mean mass velocity $\tilde{\mathbf{v}}$
$r_f$	$={\rho }_f/{\overline{\rho }}_f$, dimensionless density of fluid phase
$r_s$	$={\rho }_s/{\overline{\rho }}_f$, dimensionless density of solid phase
$\langle f\rangle$	time-average value of quantity f
$b_N$	reduced Bingham number, dimensionless
l	dimensionless length of channel
w	dimensionless width of channel
$|{\nabla }_{br}p|$	dimensionless pressure drop along channel branch
$Re$	Reynolds number, dimensionless
$Fr$	Froude number, dimensionless
$M^p$	dimensionless mass of particles that passed through the branch
$M^f$	dimensionless mass of fluid that passed through the branch