Symbols
Dimensionless Groups
Bo | Bond number |
Ca | Capillary number |
Da | Damköhler number |
De | Dean number |
El | elasticity number |
Fo | Fourier number |
Kn | Knudsen number |
Le | Lewis number |
Pe | Peclet number |
Pr | Prandtl number |
Ra | Rayleigh number |
Re | Reynolds number |
Sc | Schmidt number |
We | Weber number |
Wi | Weissenberg number |
Greek Symbols
α | flow rate ratio (Section 5.3) |
αth | thermal expansion coefficient |
α,β | geometry parameters (Section 5.5) |
α,β | switching ratio and focusing ratio (Section 5.5.3) |
β | friction coefficient (Section 2.2.2) |
β | thermal expansion coefficient |
β | viscosity ratio (Section 2.1.2.2) |
| shear rate |
γ | flow rate ratio |
δ | Dirac function |
ΔΦ | angular displacement |
ɛ | characteristic energy (Sections 2.1.1 and 2.2.3) |
ɛ | dielectric constant |
κ | curvature (Section 2.4.2.3) |
λ | Lyapunov exponent (Section 6.4.2) |
λ | geometry parameter (Section 2.4.2.3) |
λ | mean free path |
λ | optical wavelength (Chapters 4 and 8) |
λd | Debye length |
η | efficiency |
μ | dynamic viscosity |
ν | kinematic viscosity |
Φ | dissipation function |
ρ | density |
Ψ | electric potential |
ψ | stream function |
σ | characteristic diameter of a molecule (Section 2.1.1) |
τ | characteristic time |
θ | angle, azimuthal angle |
θ | relative temperature (Section 6.4.1.3) |
θ | variable used in Fourier series (Sections 2.1.2.2 and 5.5.2) |
ρel | charge density |
σ | area density (Section 7.7.1) |
σ | surface tension, interfacial tension |
σel | electric conductivity |
χ | susceptibility |
τ | torsion (Section 2.4.2.3) |
Ω | collision integral |
Ω | strength function of Dean vortices (Section 5.2.1) |
ω | angular frequency |
ζ | zeta potential |
Latin Symbols
A | surface area |
B | magnetic flux density field |
c | concentration |
c | propagation speed of a wave (Section 7.7.1) |
cp | specific heat |
D | displacement field |
D | diffusion coefficient |
e | elementary charge |
Eel | electric field strength |
Emech | Young's modulus |
f | force vector |
F | Faraday constant (Section 2.6.1.6) |
F | force |
f | frequency |
g | gravity vector |
I | intensity value |
J | current density field |
J | mass flux |
kB | Boltzmann constant |
m | dipole moment |
M | molecular mass |
NA | numerical aperture |
n | number density |
n | refractive index (Chapter 8) |
NA | Avogadro number |
P | polarization field |
p | pressure |
| volumetric flow rate |
q | electric charge |
R | fluidic resistance (Section 4.5) |
R | radius of curvature (Section 6.2.2) |
r | distance between the two molecules (Section 2.1.1) |
r | interface position between two streams (Section 2.1.2.2) |
r | pressure ratio (Section 5.5) |
r | production rate of the species per volume (Section 2.1.2.4) |
r | radial variable, radius |
T | absolute temperature |
T | surface tension of a thin membrane (Section 7.7.1) |
t | time |
| mean velocity |
u, v,w | velocity components |
v | velocity vector |
x, y, z | spatial variables |
z | ionic charge (Section 2.2.3.3) |
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