💧 Faraday Fluid Waves

Simulate Michael Faraday's 1831 parametric liquid surface waves ($\omega^2 = [gk + \frac{\sigma}{\rho}k^3]\tanh kh$). Observe subharmonic resonance ($f_{wave} = f_0/2$) and pattern transitions across square, hexagonal, and striped hydrodynamic lattices.

Drive Freq ($f_0$) Hz (Vibration table)

Liquid Medium

Lattice Symmetry

Fluid Depth ($h$) mm

Cyan = Surface Wave Crests | Dark Navy = Troughs

Surface Response ($f_{wave}$)

30.0 Hz

Subharmonic $f_0 / 2$

Wavelength ($\lambda$)

6.24 mm

Capillary dominant

Wavenumber ($k$)

1,007 rad/m

$2\pi / \lambda$

Phase Velocity ($c_p$)

0.187 m/s

ω / k surface propagation