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. 2021 Apr 6;14(7):1808. doi: 10.3390/ma14071808
a Radius of nanobubble
a 1 Radius of nanobubble 1
a 2 Radius of nanobubble 2
A Hamaker constant for the gas in water
C Concentration
dh Hydrodynamic diameter
DT Diffusion coefficient
e Electron charge
g Gravitational acceleration
h surface-to-surface distance between two nanobubbles
k Boltzmann constant
Ka1, Ka2 Equilibrium constant
K hydrophobic force constant for the gas in water
K constant for Lemlich’s theory
n Concentration of anion or cation in solution
NA Avogadro number
ΔP Laplace pressure difference
p Instantaneous bubble mean radius
R Distance between bubbles 1 and 2
t Time
T Absolute temperature
u Terminal velocity
VA Van der Waals interaction potential energy
Vh Hydrophobic force interaction potential energy
VR Electrostatic interaction potential energy
VT Total potential energy of interaction between two nanobubbles
x Distance
z Ionic valence
γ Surface tension
ε Electron charge
ε 0 Permittivity of vacuum
εr Relative dielectric constant
Ψ1, Ψ2 Surface potential of the nanobubbles of radius a1 and a2
η Viscosity
κ Debye–Hückel parameter
ρ Density of water
μ Electrophoretic mobility
ζ Zeta potential