TY - JOUR
T1 - Gravitational effects on structure development in quenched complex fluids
AU - Badalassi, V. E.
AU - Ceniceros, H. D.
AU - Banerjee, S.
PY - 2004
Y1 - 2004
N2 - When binary liquid mixtures are cooled rapidly from a homogeneous phase into a two-phase system, domains of the two equilibrium phases form and grow (coarsen) with time. In the absence of an external forcing due to gravity or an imposed shear flow, a dynamic scaling regime emerges in which the domain morphology is statistically self-similar at different times with a length-scale that grows with time. In the presence of gravity, however, multiple length scales develop, with the system coarsening more rapidly in the direction of the force. The late-time behavior of such a system is characterized in this study by the calculation of anisotropic growth laws. Gravitation effects significantly affect scaling laws, even with small density mismatch, and the growth mechanism has some similarities to the sedimentation process. However, very few numerical studies have been made of such effects; this is one of the first.
AB - When binary liquid mixtures are cooled rapidly from a homogeneous phase into a two-phase system, domains of the two equilibrium phases form and grow (coarsen) with time. In the absence of an external forcing due to gravity or an imposed shear flow, a dynamic scaling regime emerges in which the domain morphology is statistically self-similar at different times with a length-scale that grows with time. In the presence of gravity, however, multiple length scales develop, with the system coarsening more rapidly in the direction of the force. The late-time behavior of such a system is characterized in this study by the calculation of anisotropic growth laws. Gravitation effects significantly affect scaling laws, even with small density mismatch, and the growth mechanism has some similarities to the sedimentation process. However, very few numerical studies have been made of such effects; this is one of the first.
KW - Cahn-Hilliard equation
KW - Model H
KW - Navier-Stokes equations
KW - Phase separation under gravity
UR - http://www.scopus.com/inward/record.url?scp=10644271417&partnerID=8YFLogxK
U2 - 10.1196/annals.1324.031
DO - 10.1196/annals.1324.031
M3 - Article
C2 - 15644369
AN - SCOPUS:10644271417
SN - 0077-8923
VL - 1027
SP - 371
EP - 382
JO - Annals of the New York Academy of Sciences
JF - Annals of the New York Academy of Sciences
ER -