The phase separation dynamics of a binary fluid containing randomly distrib
uted fixed impurities is studied in two dimensions (d=2). The impurities ac
t as osmotic force centers and favor one component of the fluid. We found,
as expected, that hydrodynamic flow promotes the coalescence of the domains
in the early stage of phase separation; at later stages for sufficiently h
igh particle density and strong preferential interaction strength, the doma
in growth slows down and finally is pinned at a finite domain size independ
ent of the hydrodynamics. The density of impurities in the unfavorable phas
e is shown to satisfy a scaling form involving the total impurity density n
(0) and the ratio R/R-0 with R the domain size and R-0=n(0)(-1/d) the avera
ge distance between the impurities. (C) 2001 American Institute of Physics.