List of symbols
Symbol Description Unit
1 Unit matrix
a Microparticle radius m
ac Critical particle radius m
A Area m2
cs Isentropic speed of sound ms��1
C (g) Numerical convergence parameter
cp Specic heat capacity at constant pressure J kg��1 K��1
cV Specic heat capacity at constant volume J kg��1 K��1
ei Unit vector in the direction i = x; y; z
Eac Acoustic energy density Pa
f Frequency s��1
fres Resonance frequency s��1
f Resonance full width at half maximum s��1
f0, f1 Acoustic scattering coecients
Fdrag Viscous Stokes drag force N
Frad Acoustic radiation force N
g Gibbs free energy per unit mass J kg��1
g General eld
gref Numerical reference solution
i Unit imaginary number
k0 = 2
= !
c Undamped acoustic wavenumber m��1
k Damped acoustic wavenumber m��1
kth Thermal conductivity Wm��1 K��1
l;w; h Microchannel length, width, and height m
m Mass kg
n Outward-pointing normal vector
p Pressure Pa
Q = fres
f Resonance quality factor
s Entropy per unit mass JK��1 kg��1
t Time s
t0 = 1
f Oscillation period s
xiii