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. 2013 Apr 5;7(2):021501. doi: 10.1063/1.4799787

TABLE I.

Dimensionless numbers used in this review.

Re	Reynold number	$\frac{ρ U D_{h}}{μ}$	Inertial force/viscous force
Pe	Péclet number	$\frac{\dot{γ} a^{2}}{D}$	Diffusive time scale/convective time scale
κ	Blockage ratio	$\frac{a}{D_{h}}$	Particle size/channel size
Wi	Weissenberg number	$λ_{r} \dot{γ}$	Relaxation time/shear rate time
El	Elasticity number	$\frac{μ λ_{r}}{ρ D_{h}^{2}}$	Elastic force/inertial force
De	Dean number	$R e {(\frac{D_{h}}{2 R_{c}})}^{1 / 2}$	${(Centrifugal \times inertial forces)}^{1 / 2}$ /viscous force
R_f	Inertial force ratio	$\frac{2 R_{c} a^{2}}{D_{h}^{3}}$	Lift force/Dean drag force