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Table 3 Notation

From: Excitation of airwaves by bubble bursting in suspensions : regime transitions and implications for basaltic volcanic eruptions

a tank or conduit half width (m)
c sound velocity (m/s)
d diameter (m)
f frequency (Hz)
G modulus (Pa)
g gravitational acceleration (\(\text{ m/s}^2\))
K consistency (\(\text{ Pa } \text{ s}^{n}\))
h film thickness (m)
L air column or cavity length (m)
\(\delta L\) open-end correction (m)
l submerged bubble length (m)
\(l'\) effective neck length (m)
m power law exponent (\(\beta \propto f_{\mathrm{p}}^{m}\))
n flow index
\({\mathcal {O}}\) the order of
P pressure (Pa)
\(\Delta P\) overpressure (Pa)
p bubble buoyancy pressure (Pa)
R radius (m)
r correlation coefficient
t time (s)
U ascent velocity (m/s)
V bubble volume (m3)
v velocity (m/s)
W tank or conduit width (m)
\(\beta\) decay rate (1/s)
\({\dot{\gamma }}\) strain rate (1/s)
\(\gamma _{\mathrm{h}}\) ratio of specific heats
\(\eta\) viscosity (Pa s)
\(\rho\) density (kg/m3)
\(\Delta \rho\) density difference (kg/m3)
\(\sigma\) surface tension coefficient (N/m)
\(\phi\) volumetric packing fraction
\(\tau\) shear stress (Pa)