TY - JOUR
T1 - Rheological evaluation of colloidal dispersions using the smoothed profile method
T2 - Formulation and applications
AU - Molina, John J.
AU - Otomura, Kotaro
AU - Shiba, Hayato
AU - Kobayashi, Hideki
AU - Sano, Masaki
AU - Yamamoto, Ryoichi
N1 - Funding Information:
This work was supported by a Grant-in-Aid for Scientific Research on Innovative Areas 'Synergy of Fluctuation and Structure: Foundation of Universal Laws in Nonequilibrium Systems' (grant nos 25103010 and 26103522) from the Ministry of Education, Culture, Sports, Science, and Technology (MEXT) of Japan and a KAKENHI grant (no. 26247069) from the Japan Society for the Promotion of Science (JSPS). The authors would also like to thank Dr R. Seto for fruitful discussions regarding the Stokesian dynamics calculations, which have been performed with the open source RYUON simulator developed by K. Ichiki. Some of the numerical calculations have been performed on an SGI Altix ICE 8400EX at the ISSP of the University of Tokyo.
Publisher Copyright:
© 2016 Cambridge University Press.
PY - 2016/3/3
Y1 - 2016/3/3
N2 - The smoothed profile method is extended to study the rheological behaviour of colloidal dispersions under shear flow by using the Lees-Edwards boundary conditions. We start with a reformulation of the smoothed profile method, a direct numerical simulation method for colloidal dispersions, so that it can be used with the Lees-Edwards boundary condition, under steady or oscillatory-shear flow. By this reformulation, all the resultant physical quantities, including local and total shear stresses, become available through direct calculation. Three simple rheological simulations are then performed for (1) a spherical particle, (2) a rigid bead chain and (3) a collision of two spherical particles under shear flow. Quantitative validity of these simulations is examined by comparing the viscosity with that obtained from theory and Stokesian dynamics calculations. Finally, we consider the shear-thinning behaviour of concentrated colloidal dispersions.
AB - The smoothed profile method is extended to study the rheological behaviour of colloidal dispersions under shear flow by using the Lees-Edwards boundary conditions. We start with a reformulation of the smoothed profile method, a direct numerical simulation method for colloidal dispersions, so that it can be used with the Lees-Edwards boundary condition, under steady or oscillatory-shear flow. By this reformulation, all the resultant physical quantities, including local and total shear stresses, become available through direct calculation. Three simple rheological simulations are then performed for (1) a spherical particle, (2) a rigid bead chain and (3) a collision of two spherical particles under shear flow. Quantitative validity of these simulations is examined by comparing the viscosity with that obtained from theory and Stokesian dynamics calculations. Finally, we consider the shear-thinning behaviour of concentrated colloidal dispersions.
KW - colloids
KW - complex fluids
KW - computational methods
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U2 - 10.1017/jfm.2016.78
DO - 10.1017/jfm.2016.78
M3 - Article
AN - SCOPUS:84964422571
VL - 792
SP - 590
EP - 619
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -