N. Vasishtha et Eb. Nauman, HYDRODYNAMIC EFFECTS IN THE PHASE-SEPARATION OF BINARY POLYMER MIXTURES, Chemical engineering communications, 129, 1994, pp. 29-39
The phenomenon of phase separation by spinodal decomposition was studi
ed for polymer blends made by compositional quenching. The modified Ca
hn-Hilliard theory of phase separation was extended to include hydrody
namics, with a volumetric body force, due to concentration gradients,
that induced convective flows. This force influenced the morphology an
d the growth rate of the average domain size. Unlike the conventional
treatment of flows driven by surface tension, the velocity and pressur
e fields were treated as continuous functions of spatial position. Num
erical solutions for the phase separation in a binary mixture were obt
ained for a three-dimensional system with periodic boundary conditions
. For near critical quenches with similar volume fractions, for the tw
o components, cocontinuity was destroyed by the hydrodynamics, giving
discrete domains. The breakup in interconnectivity is believed to be a
universal phenomenon. The domain growth rate followed a power law, r
--> tau(n). The growth exponent depended on the dimensionless viscosit
y group, zeta = (R(g)T/nu(s)) (kappam/muD(AB)) and ranged from n = 0.3
2 +/- 0.006 for zeta = 0 (no hydrodynamic effects) to n approximately
1 for zeta = 1. For off-critical quenches in which a dispersed phase w
ould be formed by diffusion alone, the scaling exponent showed little
enhancement. The simulations accurately predicted the particle size fo
rmed in the early stages of spinodal decomposition.