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. Author manuscript; available in PMC: 2016 Oct 17.
Published in final edited form as: Microfluid Nanofluidics. 2016 Feb 2;20(2):41. doi: 10.1007/s10404-016-1707-4

Symbol and explanation

Symbol Explanation Symbol Explanation
ρp Density of plasma ω Angular velocity
vp Velocity of plasma
F˜contactm,n
Tangential component of
The contact force
ρp0 Density of the plasma in
the reference configuration
Tangential spring stiffness
ε Volume fraction of plasma η̃ Tangential damping
coefficient
Tp Constitutive equation of
plasma
μf Friction coefficient
p Pressure of the mixture
v^rm,n
Relative tangential
velocity
λp First coefficients of
viscosity of the pure
plasma
δ̃ Tangential displacement
μp Second coefficients of
viscosity of the pure
plasma
tm,n Tangential unit vector
Dp Symmetric part of the
velocity gradient
δ̂0 Tangential displacement in
the previous time step
Fpr Interaction forces
n0m,n
Normal direction in the
previous time step
bp Body force ez Unit vectors in the z’
mr Mass of a RBC ey Unit vectors in the y’
xr Instantial space position of
RBCs
μw Magnetic permeability of
The ferromagnetic wire
Fcontact Force of collision with
other RBCs or boundaries
μ0 Magnetic permeability of
free space
Fpr Interaction force with
continuous phase
Ms Saturation magnetization
field of the rectangular
wire
Fext External force field χp Magnetic susceptibility of
the plasma
Fcontactm,n
The normal component of
the contact force
χrbc Magnetic susceptibility of
RBCs
Normal “spring” stiffness Vrbc Volume of the RBCs
η̂ Normal damping
coefficient
a Nominal radius of the wire
δ A (fictitious) overlap
between two RBCs
H0 The applied external
magnetic field
R Radius of a RBC Hc Constriction height
n Normal unit vector
between two RBCs
Lc Constriction length
vrm,n
Relative velocity Ld Diffuser length
rm,n
Normal relative velocity