# Rayleigh–Taylor Instability

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Rayleigh–Taylor instability, abbreviated as $$\gamma$$  (Greek symbol gamma), is the instability of an interface between two fluids of different densities which occures when the lighter fluids is pushing the heavier fluid.

## Rayleigh–Taylor instability Formula

 $$\large{ \gamma = \sqrt{ A \; g \; \alpha } }$$

### Where:

 Units English Metric $$\large{ \gamma }$$  (Greek symbol gamma) = Rayleigh–Taylor instability $$\large{\frac{1}{sec}}$$ $$\large{\frac{1}{s}}$$ $$\large{ A }$$ = Atwood number $$\large{dimensionless}$$ $$\large{ \alpha }$$  (Greek symbol alpha) = special wavenumber $$\large{\frac{1}{ft}}$$ $$\large{\frac{1}{m}}$$ $$\large{ g }$$ = standard gravity $$\large{\frac{ft}{sec^2}}$$ $$\large{\frac{m}{s^2}}$$

Tags: Fluid Equations