F. Brochardwyart et Pg. Degennes, MIXING PROCESS WITH VOLUME CHANGE, Comptes rendus de l'Academie des sciences. Serie 2, Mecanique, physique, chimie, sciences de l'univers, sciences de la terre, 318(1), 1994, pp. 27-30
We consider a diffuse interface [thickness e(t)] between two miscible
fluids A, B. We assume that the AB mixture has a density larger (or lo
wer) than A or B: a horizontal interface should then be gravitationall
y unstable, and split up into droplets of the AB mixture. We construct
a naive picture for the linear instabilities: this leads to droplets
of size similar to 10 mu m, with rise times similar to 0.1 sec.