Rayleigh Taylor instability

Description

The Rayleigh–Taylor instability, or RT instability , is an instability of an interface between two fluids of different densities which occurs when the lighter fluid is pushing the heavier fluid. In this section it is shown that when the heavy fluid sits on top, the growth of a small perturbation at the interface is exponential and takes place at a temporal growth rate depended on spatial wave-number and the Atwood number.

Related formulas

Variables

γThe temporal growth rate (1/s)
AAtwood number (dimensionless)
gStandard gravity
αSpatial wave-number (1/m)