https://doi.org/10.1007/s100510170012
The segregation of sheared binary fluids in the Bray-Humayun model
1
Istituto Nazionale per la Fisica della Materia, Unità di Bari
and Dipartimento di Fisica, Università di Bari, and
Istituto Nazionale di Fisica Nucleare, Sezione di Bari, via Amendola
173, 70126 Bari, Italy
2
Istituto Nazionale per la Fisica della Materia,
Unità di Salerno and Dipartimento di Fisica, Università di Salerno,
84081 Baronissi, Salerno, Italy
Corresponding author: a antonio.lamura@ba.infn.it
Received:
10
July
2001
Published online: 15 November 2001
The phase separation process which follows a sudden quench
inside the coexistence region is considered for a binary
fluid subjected to an applied shear flow.
This issue is studied in the framework of the convection-diffusion equation
based on a Ginzburg-Landau free energy functional in the
approximation scheme introduced by
Bray and Humayun [Phys. Rev. Lett. 68, 1559 (1992)].
After an early stage where domains form and shear effects become
effective the system enters a scaling regime where the typical domains
sizes 
,
along the flow and perpendicular to it
grow as 
and 
. The structure factor is characterized
by the existence of four peaks, similarly to previous theoretical
and experimental observations, and by exponential tails at large wavevectors.
PACS: 47.20.Hw – Morphological instability; phase changes / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 83.50.Ax – Steady shear flows, viscometric flow
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
