The Richtmyer–Meshkov instability (RMI) occurs when two fluids of different density are impulsively accelerated.
Normally this is by the passage of a shock wave.
The development of the instability begins with small amplitude perturbations which initially grow linearly with time.
This is followed by a nonlinear regime with bubbles appearing in the case of a light fluid penetrating a heavy fluid, and with spikes appearing in the case of a heavy fluid penetrating a light fluid.
A chaotic regime eventually is reached and the two fluids mix.
This instability can be considered the impulsive-acceleration limit of the Rayleigh–Taylor instability.
[1] For ideal MHD
ω
β ) (
ω
β + 1 )
ω
β ) = 0
For Hall MHD
ω
β ) (
ω
β + 1 )
ω
β ) − 2
ω
R. D. Richtmyer provided a theoretical prediction,[2] and E. E. Meshkov (Евгений Евграфович Мешков)(ru) provided experimental verification.
[3] Materials in the cores of stars, like Cobalt-56 from Supernova 1987A were observed earlier than expected.
This was evidence of mixing due to Richtmyer–Meshkov and Rayleigh–Taylor instabilities.
[4] During the implosion of an inertial confinement fusion target, the hot shell material surrounding the cold D–T fuel layer is shock-accelerated.
This instability is also seen in magnetized target fusion (MTF).
[5] Mixing of the shell material and fuel is not desired and efforts are made to minimize any tiny imperfections or irregularities which will be magnified by RMI.
Supersonic combustion in a scramjet may benefit from RMI as the fuel-oxidants interface is enhanced by the breakup of the fuel into finer droplets.
Also in studies of deflagration to detonation transition (DDT) processes show that RMI-induced flame acceleration can result in detonation.