Application of Scaling Theories to Estimate Particle Aggregation in a Colloidal Suspension

Soongwan Park; Sangkyun Koo

Korean Chemical Engineering Research, Vol.60, No.2, 260-266, May, 2022

DOI10.9713/kcer.2022.60.2.260 Export Citation

Application of Scaling Theories to Estimate Particle Aggregation in a Colloidal Suspension

Soongwan Park, and Sangkyun Koo^†

Department of Chemical Engineering and Materials Science, Sangmyung University, Seoul 03016, Korea

E-mail:

Average aggregate size in particulate suspensions is estimated with scaling theories based on fractal concept and elasticity of colloidal gel. The scaling theories are used to determine structure parameters of the aggregates, i.e., fractal dimension and power-law exponent for aggregate size reduction with shear stress using scaling behavior of elastic modulus and shear yield stress as a function of particle concentration. The structure parameters are utilized to predict aggregate size which varies with shear stress through rheological modeling. Experimentally rheological measurement is conducted for aqueous suspension of zinc oxide particles with average diameter of 110 nm. The predicted aggregate size is about 1135 nm at 1 s-1 and 739 nm at 1000 s-1 on the average over the particle concentrations. It has been found that the predicted aggregate size near 0.1 s-1 agrees with that the measured one by a dynamic light scattering analyzer operated un-sheared.

Keywords:Colloidal aggregate;Fractal dimension;Yield stress;Elastic modulus;Aggregate size

[References]

Buscall R, Mills PD, Goodwin JW, Lawson D, J. Chem. Soc.-Faraday Trans., 84(12), 4248 (1988)
Shih WH, Shih WY, Kim SI, Liu J, Aksay IA, Phys. Rev., A, 42(8), 4772 (1990)
Potanin AA, De Rooij R, van den Ende D, Mellema J, J. Chem. Phys., 102(14), 5845 (1995)
Quemada D, Eur. Phys. J., Appl. Phys, 1(1), 119 (1998)
Wu H, Morbidelli M, Langmuir, 17(4), 1030 (2001)
Eggersdorfer MI, Kadau D, Herrmann HJ, Pratsinis SE, J. Colloid Interface Sci., 342(2), 261 (2010)
Mewis J, Wagner NJ, Colloidal Suspension Rheology, Cambridge press, Cambridge(2012).
Urena-Benavides EE, Kayatin MJ, Davis VA, Macromolecules, 46(4), 1942 (2013)
Lee B, Koo S, Powder Technol., 266, 16 (2014)
Kawaguchi M, Adv. Colloid Interface Sci., 284, 1022 (2020)
Meakin P, Adv. Colloid Interface Sci., 28, 249 (1987)
Lin M, Lindsay H, Weitz D, Ball R, Klein R, Meakin P, Nature, 339(6223), 360 (1989)
Sonntag RC, Russel WB, J. Colloid Interface Sci., 113(2), 399 (1986)
Potanin AA, J. Colloid Interface Sci., 157(2), 399 (1998)
Kim D, Koo S, Korea-Aust. Rheol. J., 32(4), 301 (2020)
Haynes WM (Ed.), CRC Handbook of Chemistry and Physics, CRC Press, 4.100(2011).
Ikeda S, Foegeding EA, Hagiwara T, Langmuir, 15(25), 8584 (1999)
Casson N, in Mill CC(Ed.), Flocculated particles, Pergamon Press, New York, 84-104(1959).
Herschel WH, Bulkley R, Kolloid-Zeitschrift, 39, 291 (1926)
Jullien R, Botet R, Aggregation and Fractal Aggregates, World Scientific, Singapore(1987).
Patel PD, Russel WB, Colloids Surf., 31, 355 (1988)
Potanin AA, J. Chem. Phys., 96(12), 9191 (1992)
Quemada D, Rheol. Acta, 16(1), 82 (1977)
Russel WB, Sperry PR, Prog. Org. Coat., 23(4), 305 (1994)
Chen ZY, Meakin P, Deutch JM, Phys. Rev. Lett., 59(18), 2121 (1987)

[1] Buscall R, Mills PD, Goodwin JW, Lawson D, J. Chem. Soc.-Faraday Trans., 84(12), 4248 (1988)

[2] Shih WH, Shih WY, Kim SI, Liu J, Aksay IA, Phys. Rev., A, 42(8), 4772 (1990)

[3] Potanin AA, De Rooij R, van den Ende D, Mellema J, J. Chem. Phys., 102(14), 5845 (1995)

[4] Quemada D, Eur. Phys. J., Appl. Phys, 1(1), 119 (1998)

[5] Wu H, Morbidelli M, Langmuir, 17(4), 1030 (2001)

[6] Eggersdorfer MI, Kadau D, Herrmann HJ, Pratsinis SE, J. Colloid Interface Sci., 342(2), 261 (2010)

[7] Mewis J, Wagner NJ, Colloidal Suspension Rheology, Cambridge press, Cambridge(2012).

[8] Urena-Benavides EE, Kayatin MJ, Davis VA, Macromolecules, 46(4), 1942 (2013)

[9] Lee B, Koo S, Powder Technol., 266, 16 (2014)

[10] Kawaguchi M, Adv. Colloid Interface Sci., 284, 1022 (2020)

[11] Meakin P, Adv. Colloid Interface Sci., 28, 249 (1987)

[12] Lin M, Lindsay H, Weitz D, Ball R, Klein R, Meakin P, Nature, 339(6223), 360 (1989)

[13] Sonntag RC, Russel WB, J. Colloid Interface Sci., 113(2), 399 (1986)

[14] Potanin AA, J. Colloid Interface Sci., 157(2), 399 (1998)

[15] Kim D, Koo S, Korea-Aust. Rheol. J., 32(4), 301 (2020)

[16] Haynes WM (Ed.), CRC Handbook of Chemistry and Physics, CRC Press, 4.100(2011).

[17] Ikeda S, Foegeding EA, Hagiwara T, Langmuir, 15(25), 8584 (1999)

[18] Casson N, in Mill CC(Ed.), Flocculated particles, Pergamon Press, New York, 84-104(1959).

[19] Herschel WH, Bulkley R, Kolloid-Zeitschrift, 39, 291 (1926)

[20] Jullien R, Botet R, Aggregation and Fractal Aggregates, World Scientific, Singapore(1987).

[21] Patel PD, Russel WB, Colloids Surf., 31, 355 (1988)

[22] Potanin AA, J. Chem. Phys., 96(12), 9191 (1992)

[23] Quemada D, Rheol. Acta, 16(1), 82 (1977)

[24] Russel WB, Sperry PR, Prog. Org. Coat., 23(4), 305 (1994)

[25] Chen ZY, Meakin P, Deutch JM, Phys. Rev. Lett., 59(18), 2121 (1987)