Acknowledgement
This research was supported by National Research Foundation of Korea Grant funded by the Korean Government (Grant No. 2017R1D1A1B03034457).
References
- Buscall, R., Mills, P. D., Goodwin, J. W. and Lawson, D., "Scaling Behavior of the Rheology of Aggregate Networks Formed From Colloidal Particles," J. Chem. Soc., Faraday Trans. 1, 84(12), 4248-4260(1988).
- Shih, W.-H., Shih, W. Y., Kim, S.-I., Liu, J. and Aksay, I. A., "Scaling Behavior of the Elastic Properties of Colloidal Gels," Phys. Rev. A., 42(8), 4772-4778(1990). https://doi.org/10.1103/PhysRevA.42.4772
- Potanin, A. A., De Rooij, R., van den Ende, D. and Mellema, J., "Microrheological Modeling of Weakly Aggregated Dispersions," J. Chem. Phys., 102(14), 5845-5853(1995). https://doi.org/10.1063/1.469317
- Quemada, D., "Rheological Modelling of Complex Fluids. I. The Concept of Effective Volume Fraction Revisited," Eur. Phys. J. AP, 1(1), 119-127(1998). https://doi.org/10.1051/epjap:1998125
- Wu, H. and Morbidelli, M., "A Model Relating Structure of Colloidal Gels to Their Elastic Properties," Langmuir, 17(4), 1030-1036(2001). https://doi.org/10.1021/la001121f
- Eggersdorfer, M. I., Kadau, D., Herrmann, H. J. and Pratsinis, S. E., "Fragmentation and Restructuring of Soft Agglomerates Under Shear," J. Colloid Interface Sci., 342(2), 261-268(2010). https://doi.org/10.1016/j.jcis.2009.10.062
- Mewis, J. and Wagner, N. J., Colloidal Suspension Rheology, Cambridge press, Cambridge(2012).
- Urena-Benavides, E. E., Kayatin, M. J. and Davis, V. A., "Dispersion and Rheology of Multiwalled Carbon Nanotubes in Unsaturated Polyester Resin," Macromolecules, 46(4), 1942-1950(2013).
- Lee, B. and Koo, S., "Estimation of Microstructure of Titania Particulate Dispersion Through Viscosity Measurement," Powder Technol., 266, 16-21(2014). https://doi.org/10.1016/j.powtec.2014.06.014
- Kawaguchi, M., "Dispersion Stability and Rheological Properties of Silica Suspensions in Aqueous Solutions," Adv. Colloid. Interf. Sci., 284, 1022-1048(2020). https://doi.org/10.1016/j.cis.2020.102248
- Meakin, P., "Fractal Aggregates," Adv. Colloid Interface Sci., 28, 249-331(1987). https://doi.org/10.1016/0001-8686(87)80016-7
- Lin, M., Lindsay, H., Weitz, D., Ball, R., Klein, R. and Meakin, P., "Universality in Colloid Aggregation," Nature, 339(6223), 360-362(1989). https://doi.org/10.1038/339360a0
- Sonntag, R. C. and Russel, W. B., "Structure and Breakup of Flocs Subjected to Fluid Stresses: I. Shear Experiments," J. Colloid Interface Sci., 113(2), 399-413(1986). https://doi.org/10.1016/0021-9797(86)90175-X
- Potanin, A. A., "On the Computer Simulation of the Deformation and Breakup of Colloidal Aggregates in Shear Flow," J. Colloid Interface Sci., 157(2), 399-410(1998). https://doi.org/10.1006/jcis.1993.1202
- Kim, D. and Koo, S., "Rheological Estimation of Aggregate Size for a Colloidal Suspension of Carbon Black Particles," Korea-Aust. Rheol. J., 32(4), 301-308(2020). https://doi.org/10.1007/s13367-020-0028-z
- Haynes, W. M. (Ed.), CRC Handbook of Chemistry and Physics, CRC Press, 4.100(2011).
- Ikeda, S., Foegeding, E. A. and Hagiwara, T., "Rheological Study on the Fractal Nature of the Protein Gel Structure," Langmuir, 15(25), 8584-8589(1999). https://doi.org/10.1021/la9817415
- Casson, N., in C. C. Mill(Ed.), Flocculated particles, Pergamon Press, New York, 84-104(1959).
- Herschel, W. H. and Bulkley, R., "Konsistenzmessungen von Gummi-Benzollosungen," Kolloid-Zeitschrift, 39, 291-300(1926). https://doi.org/10.1007/BF01432034
- Jullien, R. and Botet, R., Aggregation and Fractal Aggregates, World Scientific, Singapore(1987).
- Patel, P. D. and Russel, W. B., "A Mean Field Theory for Rheology of Phase Separated or Flocculated Dispersions," Colloids and Surfaces, 31, 355-383(1988). https://doi.org/10.1016/0166-6622(88)80205-1
- Potanin, A. A., "On the Model of Colloidal Aggregates and Aggregating Colloids," J. Chem. Phys., 96(12), 9191-9200(1992). https://doi.org/10.1063/1.462229
- Quemada, D., "Rheology of Concentrated Disperse Systems and Minimum Energy Dissipation Principle: 1. Viscosity-concentration Relationship," Rheol. Acta., 16(1), 82-94(1977). https://doi.org/10.1007/BF01516932
- Russel, W. B. and Sperry, P. R., "Effect of Microstructure on the Viscosity of Hard Sphere Dispersion and Modulus of Composites," Progress in Organic Coatings, 23(4), 305-324(1994). https://doi.org/10.1016/0033-0655(94)87001-2
- Chen, Z. Y., Meakin, P. and Deutch, J. M., "Hydrodynamic Behavior of Fractal Aggregates: Comment," Phys. Rev Lett., 59(18), 2121(1987). https://doi.org/10.1103/PhysRevLett.59.2121