We have endeavoured to follow a standard nomenclature, which we provide below. There may be small variations, however, in any given chapter.
Quantities
- r = (x,y,z)
Position vector
- n = (nx,ny,nz)
Unit normal vector
- u = (ux,uy,uz)
Velocity vector
- p = (px,py,pz)
Swimming direction (unit vector)
- k = (kx,ky,kz)
Wave vector
- t
Time
- V
Volume
- S
Surface
- p
Pressure
- σ
Stress tensor
- E
Rate of strain tensor
- ω
Vorticity
- ω
Angular frequency
- F
Force
- L
Torque
- U
Velocity
- Ω
Rotational velocity
- Q
Nematic order tensor
- Σ
Generalized stress tensor
- ρ
Density of the fluid
- µ(η)
Dynamic viscosity
- ν = µ/ρ (ν = η/ρ)
Kinematic viscosity
- c
Density of a solute
- Re
Reynolds number
- T
Temperature
- k B
Boltzmann constant
- Pe
Peclet number
Persistence length
Free energy
Hamiltonian
- Ca
Capillary number
Deborah number
- E
Young's modulus
- G
Shear modulus
- G′
Elastic modulus
- G″
Viscous modulus
- γ
Strain
- γ.
Shear rate
- γ st
Surface tension
- B
Bending stiffness (beam)
- K
Bulk modulus
- κ
Mean curvature
- lc =(γ/ρg)1/2
Capillary length
- ν p
Poisson's ratio
