Abstract
Semi-empirical equations are derived that describe the dependence of shear stress on shear rate during the flow of a one-component suspension. The suspension is considered as consisting of two fractions: single grains of the solid phase and their dimers, between which a reversible dimerization reaction occurs. In this case, the dimerization of single grains is considered as a reaction with an invariable rate constant, and the dissociation of dimers is considered as an inverse reaction with a rate constant that increases linearly with the shear rate. The equations are based on the Krieger−Doherty formula, generalized to the case of a multicomponent suspension.
Similar content being viewed by others
REFERENCES
Levinsky, A.I., Dependence of shear stress on shear rate during a flow of structured suspensions, Russ. J. Phys. Chem. A, 2021, vol. 95, no. 7, pp. 1491–1494. https://doi.org/10.1134/S0036024421070165
Krieger, I.M., Flow Properties of Latex and Concentrated Solutions, in Surfaces and Coatings Related to Paper and Wood, A Symposium, State University College of Forestry at Syracuse University, Syracuse University Press, 1967, pp. 25–51.
Orlov, E.V., Shear viscosity of suspensions of solid spherical particles, Physics of Aerodisperse Systems, 2020, no. 58, pp. 51–59.
Levinsky, A.I., Viscosity of suspensions: Krieger–Doherty formula and the Farris effect, Proceedings of Universities. Chemistry and Chemical Technology, 2005, vol. 48, no. 12, pp. 22–25.
Kamke, E., Differentialgleichungen Lösungsmethoden und Lösungen, New York: Chelsea Pub. Co., 1959.
Zaitsev, V.F. and Polyanin, A.D., Handbook of Ordinary Differential Equations, Moscow: Publishing Company “Physics-Mathematical Literature”, 2001.
Ortega, J. and Poole, U., Introduction to Numerical Methods for Solving Differential Equations, Pitman Publishing, 1981.
Kuznetsov, N.M., Influence of the shape of inorganic nanofillers on the electrorheological behavior of polymer liquids. Cand. (Phys. and Math.) Sci. Thesis, National Research Center “Kurchatov Institute”, 2018. Available at http://nrcki.ru/files/pdf/Diss_KNM.pdf (accessed on July 27, 2023).
Neuman, A. and Singer, A., Rheological properties of aqueous suspensions of palygorskite, Soil Sci. Soc. Am. J., 2000, vol. 64, no. 1, pp. 427–436.
Umerova, S. and Ragulya, A., Coexistence of rheopexy and dilatancy in polymer suspensions filled with ceramic nanoparticles, Rheol: Open Access, 2017, vol. 1, no. 2, p. e102.
Levinsky, A.I., Shear stresses during the flow of structured suspensions: Accounting for the formation of trimers, J. Mater. Sci. Eng. Short Communication, 2022, vol. 11, p. 3.
Funding
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The author declare that he have no conflict of interest.
Additional information
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Levinsky, A.I. On the Rheology of Thixotropic and Rheopexic Suspensions. Colloid J 85, 943–948 (2023). https://doi.org/10.1134/S1061933X23600628
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1061933X23600628