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Combination of Variational and Empirical Methods to Determine the Porosity during the Deposition of Spherical Particles

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Abstract

A combination of variational and empirical methods to determine the porosity is used to give a theoretical explanation of the power-law dependence of the dimensionless velocity of the constrained motion of particles during sedimentation.

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REFERENCES

  1. Trushin, A.M., Ravichev, L.V., Yashin, V.E., Nosyrev, M.A., and Komlyashev, R.B., Semiempirical method for determining the rate of slow hindered motion, Theor. Found. Chem. Eng., 2019, vol. 53, no. 6, p. 967.

    Article  CAS  Google Scholar 

  2. Davidson, J. and Harrison, F., Fluidization, London: Academic, 1978.

    Google Scholar 

  3. Shvydkii, V.S., Yaroshenko, Yu.G., Gordon, Ya.M., Shavrin, V.S., and Noskov, A.S., Fluid Mechanics, Moscow: IKTs Akademkniga, 2003.

  4. Trushin, A.M., Nosyrev, M.A., Ravichev, L.V., and Yashin, V.E., Semiempirical method for determining the rate of slow hindered motion, Theor. Found. Chem. Eng., 2019, vol. 53, no. 6, p. 967.

    Article  CAS  Google Scholar 

  5. Razinov, A.I., Klinov, A.V., and D’yakonov, G.S., Unit Operations and Equipment of Chemical Engineering, Kazan: Kazan. Nats. Issled. Tekhnol. Univ., 2017.

    Google Scholar 

  6. Loitsyanskii, L.G., Fluid Mechanics, Moscow: Nauka, 1978.

    Google Scholar 

  7. Myshkis, A.D., Applied Mathematics for Engineers: Special Courses, Moscow: Fizmatlit, 2007.

    Google Scholar 

  8. Glazunov, Yu.T., Variational Methods, Moscow: NITs Regulyarnaya I Khaoticheskaya Dinamika, 2006.

  9. Kol’tsova, E.M., Gordeev, L.S., Tret’yakov, Yu.D., and Vertegel, A.A., Thermodynamics of Irreversible Processes and Nonlinear Dynamics, Moscow: Yurait, 2019.

    Google Scholar 

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Correspondence to A. M. Trushin.

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Trushin, A.M., Nosyrev, M.A., Ravichev, L.V. et al. Combination of Variational and Empirical Methods to Determine the Porosity during the Deposition of Spherical Particles. Theor Found Chem Eng 56, 208–211 (2022). https://doi.org/10.1134/S0040579522020130

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  • DOI: https://doi.org/10.1134/S0040579522020130

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