Study on binary collision of rod-like particles under simple shear flow

Hyun Seop Lee; Chong Youp Kim

Korea-Australia Rheology Journal, Vol.32, No.3, 195-203, August, 2020

DOI10.1007/s13367-020-0019-0 Export Citation

Study on binary collision of rod-like particles under simple shear flow

Hyun Seop Lee, and Chong Youp Kim^†

Department of Chemical and Biological Engineering, Korea University, Seoul 02841, Republic of Korea

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In this study a theoretical study is carried out on the collision of two rod-like particles suspended in Newtonian fluid under a shear flow. The length of the particle is fixed at 2 μm while the diameter is varied so that the aspect ratio (length/diameter) varies from 1 to 20. Liquid viscosity is changed from 0.01 to 1 Pa·s. The Brownian motion is considered to be negligible. Both hydrodynamic and van der Waals interactions are included in tracking the position and the orientation of each particle. The Hamaker constant is fixed at 1.06 x 10-20 J. The result shows that the kinetic constant of coagulation is reduced to approximately 40% of the value for the non-interacting particles when the viscosity is 1 Pa·s. As collision modes, face-edge, side-side, side-edge and edge-edge are considered. The side-edge mode is most frequently observed in the given range of aspect ratio.

Keywords:van der Waals interaction;hydrodynamic interaction;orientation distribution function;kinetic constant;collision mode;boundary integral method

[References]

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Higashitani K, Ogawa R, Hosokawa G, Matsuno Y, J. Chem. Eng. Jpn., 15, 299 (1982)
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Lee H, Kim C, Colloids Surf. A: Physicochem. Eng. Asp., 548, 70 (2018)
Lee H, Kim C, Langmuir, 36(1), 169 (2020)
Lee H, Kim C, Korea-Aust. Rheol. J. Accepted for publication, 2020.
Philipse AP, Wierenga AM, Langmuir, 14(1), 49 (1998)
Russel WB, Saville DA, Schowalter WR, Colloidal dispersions, Cambridge University Press, New York 1991.
Sato N, Kurauchi T, Sato S, Kamigaito O, J. Composite Mat., 22, 850 (1988)
Singh V, Koch DL, Stroock AD, Langmuir, 27(19), 11813 (2011)
Smoluchowski MV, Zeitschrift fur Physikalische Chemie, 92, 129 (1918)
Solomon MJ, Spicer PT, Soft Matter, 6, 1391 (2010)
Thomason JL, Compos. Pt. A-Appl. Sci. Manuf., 40, 114 (2009)
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[Related Articles]

[1] Akay M, Barkley D, J. Mat. Sci., 26, 2731 (1991)

[2] Atic C, Immamoglu S, Valchev I, J. Univ. Chem. Tech. Metallurgy, 40, 199 (2005)

[3] Bretherton FP, J. Fluid Mech., 14, 284 (1962)

[4] Higashitani K, Ogawa R, Hosokawa G, Matsuno Y, J. Chem. Eng. Jpn., 15, 299 (1982)

[5] Jeffery GB, Proc. Royal Soc. London. Series A, 102, 161 (1922)

[6] Kouko J, Jajcinovic M, Fischer W, Ketola A, Hirn U, Retulainen E, Cellulose, 26, 1995 (2019)

[7] Lee H, Kim C, Colloids Surf. A: Physicochem. Eng. Asp., 548, 70 (2018)

[8] Lee H, Kim C, Langmuir, 36(1), 169 (2020)

[9] Lee H, Kim C, Korea-Aust. Rheol. J. Accepted for publication, 2020.

[10] Philipse AP, Wierenga AM, Langmuir, 14(1), 49 (1998)

[11] Russel WB, Saville DA, Schowalter WR, Colloidal dispersions, Cambridge University Press, New York 1991.

[12] Sato N, Kurauchi T, Sato S, Kamigaito O, J. Composite Mat., 22, 850 (1988)

[13] Singh V, Koch DL, Stroock AD, Langmuir, 27(19), 11813 (2011)

[14] Smoluchowski MV, Zeitschrift fur Physikalische Chemie, 92, 129 (1918)

[15] Solomon MJ, Spicer PT, Soft Matter, 6, 1391 (2010)

[16] Thomason JL, Compos. Pt. A-Appl. Sci. Manuf., 40, 114 (2009)

[17] Van de Ven TGM, Mason SG, J. Colloid Interface Sci., 57, 505 (1976)

[18] Zeichner GR, Schowalter WR, AIChE J., 23, 243 (1977)