We describe a new constitutive theory for two-phase how models of chao
tic mixing layers, which form as two incompressible fluids interpenetr
ate. This theory is compatible with arbitrary velocities of the edges
of a mixing layer, and it gives analytic solutions for the distributio
n of fluid variables across the layer in terms of these velocities. Ou
r results are in agreement with all available data from planar Rayleig
h-Taylor instability experiments. The model that we discuss can be emb
edded in a larger system of two-phase flow equations in order to predi
ct other important physical quantities, such as the fluid pressures an
d internal energies in compressible mixing. [S0031-9007(97)04668-1].