Rayleigh-Taylor Instability Growth Rate Calculator
Hydrodynamic stability & interfacial fluid dynamics: Calculate the Atwood number ($A$), linear Rayleigh-Taylor growth rate ($\gamma$), surface tension cutoff wavelength ($\lambda_c$), and non-linear bubble/spike velocities.
Fluid Interface Properties
e.g. Water = 1000 kg/m³
e.g. Air = 1.204 kg/m³
1 g = 9.81 m/s² (Earth gravity)
Water-air = 72.8 mN/m
Instability Growth & Dynamic Modes
Linear Growth Rate γ:
--
s⁻¹ (e^γt exponential rise)
Fastest Growing λ_max:
--
mm (most dangerous mode)
Atwood Number A:
--
dimensionless
Cutoff Wavelength:
--
mm (stabilized by σ)
Doubling Period:
--
milliseconds (ms)
Nonlinear Bubble & Spike Dynamics
Terminal Bubble Velocity v_b:
-- m/s
Terminal Spike Velocity v_s:
-- m/s
Stability State:
--
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