Table 1.
List of symbols used in the main body text in order of appearance.
symbol | physical meaning |
---|---|
r | radial coordinate in cylindrical coordinates |
h | distance between no-slip walls in the z direction in experiment, simulation and theory |
μ | liquid viscosity |
u | liquid velocity field |
p | liquid pressure field |
rsp | distance between the origin (centre of forcing) and the eddy centre |
a | radius of living or model Vorticella depending on context |
θ | polar coordinate in cylindrical or spherical coordinates depending on context |
ϑ | the co-latitude in cylindrical coordinates ϑ = π −θ |
k | permeability used in Brinkman approximation |
β | proportionality constant in the definition of k |
γE | Euler–Mascheroni constant |
ρ | radial coordinate in spherical coordinates |
w | width of chamber in simulations |
b | length of chamber in simulations |
ℓst | the length of the Vorticella stalk |
rspl | the eddy size for a sphere located above a single plane boundary |