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Hydrodynamic Model and Kinetics of Dispersion of a Solid Disperse Phase in the Process of Mixing in a Viscous Liquid Medium

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Journal of Engineering Physics and Thermophysics Aims and scope

A hydrodynamic model of the dispersion of the solid particles of pigments in a liquid in an apparatus with a high-speed stirrer (a dissolver) designed for the production of finely dispersed and readily dispersible pigments, which can be used as a preliminary stage of the dispersion of pigments in a liquid in which their concentration is high, is proposed. The kinetics of dispersion of solid particles in the process of their mixing in a liquid was investigated. It is shown that the time and rate of dispersion of solid particles in a liquid are dependent on the hydrodynamic and technological parameters of the process. Methods of increasing the output of dissolvers are proposed.

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References

  1. I. A. Gorlovskii and N. A. Kozulin, Equipment for the Paint and Varnish Industry [in Russian], Khimiya, Leningrad (1980)

  2. A. N. Kolmogorov, Energy dissipation under the conditions of local isotropic turbulence, Dokl. Akad. Nauk SSSR, 32, Issue 1, 19–21 (1941).

    Google Scholar 

  3. A. A. Townsend, The Structure of Turbulent Shear Flow [Russian translation], Nauka, Moscow (1959).

  4. S. G. Dyakonov, N. B. Sosnovskaya, and L. P. Klinova, Investigation of diff usion boundary layers by the holographic interferometry method, Dokl. Akad. Nauk SSSR, 264, Issue 4, 905–908 (1982).

    Google Scholar 

  5. E. M. Vigdorchik and A. B. Sheinin, Mathematical Simulation of Continuous Dissolution Processes [in Russian], Khimiya, Leningrad (1971).

  6. B. I. Brounshtein and A. S. Zhelezniak, Physicochemical Bases of the Liquid Extraction [in Russian], Khimiya, Moscow (1966).

  7. P. G. Romankov and M. I. Kurochkina, Hydromechanical Processes of the Chemical Technology [in Russian], Khimiya, Leningrad (1982).

  8. S. M. Orel and L. F. Ratych, Some models of the process of dissolution of solid particles in apparatus with stirrers, Zh. Prikl. Khim., 9, 1980–1984 (1990).

    Google Scholar 

  9. D. M. Levin and J. R. Glastonbury, Particle fluid mass transfer in a stirred vessel, Trans. Inst. Chem., 50, No. 2, 132–146 (1972).

    Google Scholar 

  10. L. N. Braginskii, V. I. Begachev, and V. M. Barabash, Mixing of Liquid Media: Physical Bases and Engineering Calculation Methods [in Russian], Khimiya, Leningrad (1984).

  11. N. E. Kochin, I. A. Kibel, and N. V. Roze, Theoretical Hydrodynamics, Part 2 [in Russian], Nauka, Moscow (1963).

  12. V. V. Karataeva, Simulation of the Process of Crystallization of Silver Halides in the Synthesis of Monodisperse Photographic Emulsions, Candidate's Dissertation (in Engineering), Kazan Gos. Tekh. Univ., Kazan (1994).

  13. V. B. Kogan, Theoretical Bases of Typical Processes of the Chemical Technology [in Russian], Khimiya, Leningrad (1977).

  14. L. G. Loitsyanskii, Mechanics of Liquids and Gases [in Russian], Nauka, Moscow (1987).

  15. D. A. Kirillov, V. I. Elizarov, and D. V. Elizarov, Hydrodynamics and mass transfer in the process of rubber crumb degassing, Vestn. Kazan. Tekhnol. Univ., No. 3, Part 1, 84–91 (2009).

  16. D. V. Elizarov, V. V. Elizarov, V. I. Elizarov, and S. G. Dyakonov, Approximate calculation of the kinetic parameters of the mass transfer in apparatus with mixing of a disperse phase in a continuous medium, Vestn. Tekhnol. Univ., 18, No. 20, 83–87 (2015).

    Google Scholar 

  17. S. G. Dyakonov, V. V. Elizarov, D. V. Elizarov, and D. A. Kirillov, Kinetics of the dissolution and growth of anely dispersed solid phase in stirred apparatuses, Theor. Found. Chem. Eng., 45, No. 4, 377–385 (2011).

    Article  Google Scholar 

  18. S. G. Dyakonov, V. V. Elizarov, D. V. Elizarov, and D. A. Kirillov, Optimization of the dissolution and crystallization of a finely divided solid phase in stirred apparatuses, Theor. Found. Chem. Eng., 45, No. 5, 619–630 (2011).

    Article  Google Scholar 

  19. S. G. Dyakonov and A. I. Razinov, Definition of the isobaric-isothermal diffusion in ideal liquid mixtures, Teor. Osnovy Khim. Tekhnol., 16, No. 1, 105–109 (1982).

    Google Scholar 

  20. K. F. Pavlov, P. G. Romankov, and A. A. Noskov, Examples and Tasks for the Course of the Processes and Apparatus of the Chemical Technology [in Russian], Al'yans, Moscow (2006).

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Correspondence to D. V. Elizarov.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 96, No. 1, pp. 30–38, January–February, 2023.

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Elizarov, D.V., Elizarov, V.V. Hydrodynamic Model and Kinetics of Dispersion of a Solid Disperse Phase in the Process of Mixing in a Viscous Liquid Medium. J Eng Phys Thermophy 96, 29–38 (2023). https://doi.org/10.1007/s10891-023-02658-4

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  • DOI: https://doi.org/10.1007/s10891-023-02658-4

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