Special Issue on Simulations of Complex Behavior from Simple Models; Guest Editors: D. P. Landau and Y. OkabeNo Access

SMOOTHED PROFILE METHOD TO SIMULATE COLLOIDAL PARTICLES IN COMPLEX FLUIDS

RYOICHI YAMAMOTO

Department of Chemical Engineering, Kyoto University, Kyoto 615-8510, Japan

Search for more papers by this author

YASUYA NAKAYAMA

Department of Chemical Engineering, Kyushu University, Fukuoka 819-0395, Japan

Search for more papers by this author

, and

KANG KIM

Department of Computational Molecular Science, Institute for Molecular Science, Myodaiji, Okazaki 444-8585, Japan

Search for more papers by this author

https://doi.org/10.1142/S0129183109014515Cited by:13 (Source: Crossref)

Abstract

A new direct numerical simulation scheme, called "Smoothed Profile (SP) method," is presented. The SP method, as a direct numerical simulation of particulate flow, provides a way to couple continuum fluid dynamics with rigid-body dynamics through smoothed profile of colloidal particle. Our formulation includes extensions to colloids in multicomponent solvents such as charged colloids in electrolyte solutions. This method enables us to compute the time evolutions of colloidal particles, ions, and host fluids simultaneously by solving Newton, advection-diffusion, and Navier–Stokes equations so that the electro-hydrodynamic couplings can be fully taken into account. The electrophoretic mobilities of charged spherical particles are calculated in several situations. The comparisons with approximation theories show quantitative agreements for dilute dispersions without any empirical parameters.

Keywords:

PACS: 82.70.Dd, 47.65.-d, 82.20.Wt, 82.45.-h

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

W. B. Russel , D. A. Saville and W. R. Schowalter , Colloidal Dispersions ( Cambridge University Press , Cambridge , 1989 ) . Google Scholar
J. Happel and H. Brenner , Low Reynolds Number Hydrodynamics: With Special Applications to Particulate Media , 2nd edn. ( Martinus Nijhoff , Dordrecht , 1983 ) . Crossref, Google Scholar
S. Kim and S. J. Karrila , Microhydrodynamics: Principles and Selected Applications ( Butterworth-Heinemann , London , 1991 ) . Google Scholar
C. N. Likos, Phys. Rep. 348, 267 (2001), DOI: 10.1016/S0370-1573(00)00141-1. Web of Science, ADS, Google Scholar
J. F. Brady and G. Bossis, Annu. Rev. Fluid Mech. 20, 111 (1988), DOI: 10.1146/annurev.fl.20.010188.000551. Web of Science, ADS, Google Scholar
A. Malevanets and R. Kapral, J. Chem. Phys. 110, 8605 (1999), DOI: 10.1063/1.478857. Web of Science, ADS, Google Scholar
A. J. C. Ladd and R. Verberg, J. Stat. Phys. 104, 1191 (2001), DOI: 10.1023/A:1010414013942. Web of Science, ADS, Google Scholar
H. Tanaka and T. Araki, Phys. Rev. Lett. 85, 1338 (2000), DOI: 10.1103/PhysRevLett.85.1338. Web of Science, ADS, Google Scholar
R. Yamamoto, Phys. Rev. Lett. 87, 075502 (2001), DOI: 10.1103/PhysRevLett.87.075502. Web of Science, Google Scholar
Y. Nakayama and R. Yamamoto, Phys. Rev. E 71, 036707 (2005), DOI: 10.1103/PhysRevE.71.036707. Web of Science, Google Scholar
K. Kim and R. Yamamoto, Macromol. Theory Simul. 14, 278 (2005), DOI: 10.1002/mats.200400068. Web of Science, Google Scholar
K. Kim, Y. Nakayama and R. Yamamoto, Phys. Rev. Lett. 96, 208302 (2006), DOI: 10.1103/PhysRevLett.96.208302. Web of Science, Google Scholar
Y. Nakayama, K. Kim and R. Yamamoto, Eur. Phys. J. E 26, 361 (2008); T. Iwashita, Y. Nakayama and R. Yamanoto, J. Phys. Soc. Jpn. 77, 074007 (2008); T. Iwashita and R. Yamamoto, Phys. Rev. E 79, 031401 (2009) . Google Scholar
R. Yamamotoet al., J. Phys. Soc. Jpn. 77, 084804 (2008), DOI: 10.1143/JPSJ.77.084804. Google Scholar
C. S. Peskin and D. M. McQueen, J. Comput. Phys. 81, 372 (1989), DOI: 10.1016/0021-9991(89)90213-1. Web of Science, ADS, Google Scholar
J. Dzubiella, H. Lowen and C. N. Likos, Phys. Rev. Lett. 91, 248301 (2003), DOI: 10.1103/PhysRevLett.91.248301. Web of Science, ADS, Google Scholar
H. Kodamaet al., J. Phys.: Condens. Matter 16, L115 (2004), DOI: 10.1088/0953-8984/16/10/L01. Web of Science, Google Scholar
A. A. Zick and G. M. Homsy, J. Fluid Mech. 115, 13 (1982), DOI: 10.1017/S0022112082000627. Web of Science, ADS, Google Scholar
M. von Smoluchowski, Z. Phys. Chem. 92, 129 (1918). Web of Science, Google Scholar
E. Hiickel, Phys. Z 25, 204 (1924). Google Scholar
D. C. Henry, Proc. R. Soc. London Ser. A 133, 106 (1931). ADS, Google Scholar
R. W. O'Brien and L. R. White, J. Chem. Soc. Faraday Trans. 2 74, 1607 (1978), DOI: 10.1039/f29787401607. Web of Science, Google Scholar
http://www-tph.cheme.kyoto-u.ac.jp/kapsel/ . Google Scholar