f 440[Hz] Frequency of an A4 note
Lguess 1/2*c0/f Half wavelength
L 0.3805[m] Pipe length
d 3[cm] Inner pipe diameter
a d/2 Inner pipe radius
dw 2[mm] Pipe wall thickness
Ew 1e9[Pa] Pipe wall Young's modulus
nuw 0.4 Pipe wall Poisson's ratio
c0 343[m/s] Speed of sound
ka 2*pi*f/c0*a Wave number times tube radius
h_min c0/3000[Hz]/20 Mesh size at 3000 Hz
T0 20[degC] Ambient temperature
p0 1[atm] Ambient pressure
dL 0.6*a End correction
f_est c0/(2*(L+dL)) Estimated resonance frequency