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Dynamic adsorption in a radial flow of a solution around a spherical cavity

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The paper studies the local variation of the concentration of a neutral dilute solution during its radial flow around a spherical cavity in the approximations of an adsorption layer and the Langmuir adsorption kinetics. The authors used the boundary‐layer method and the method of asymptotic series expansion of the solution in a small parameter, which is the ratio of the time of establishing an adsorption equilibrium to the time of establishing a steady diffusion layer around the cavity. The equations obtained for a zeroth approximation were studied analytically and numerically. In the case of high‐frequency oscillations of the cavity in the solution, a solution of the problem was found that corresponds to the process of “straightened” adsorption or “pumping” an admixture into the adsorption layer.

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REFERENCES

  1. L. N. Matusevich, Crystallization from Solutions in Chemical Industry [in Russian], Khimiya, Moscow (1968).

    Google Scholar 

  2. V. V. Yaminskii, K. B. Yaminskaya, A. V. Pertsov, et al., “Ultrasonic effect on nucleation and coagulation during crystallization from a solution," Kolloid. Zh., 53, No. 1, 100-104 (1991).

    Google Scholar 

  3. G. A. Kardashev, Physical Methods of Activating Applied Chemical Processes [in Russian], Khimiya, Moscow (1990).

    Google Scholar 

  4. O. V. Voinov and A. G. Petrov, “Motion of bubbles in a liquid," Itogi Nauki Tekh., Ser. Mekh. Zhidk. Gaza, 10 (1976), pp. 86-147.

    Google Scholar 

  5. S. S. Dukhin, “Dynamic adsorption layer and the Marangoni-Gibbs effect," in: Modern Theory of Capillarity [in Russian], Khimiya, Leningrad (1980), pp. 126-161.

    Google Scholar 

  6. B. Jachinska, P. Warsynsky, and K. Malysa, “Effect of adsorption kinetics and rate of formation on stability of single bubbles at solution surface," in: Proc. of the 3rd European Conf. on Foams, Emulsions, and Their Applications (Eurofoam 2000) (Delft, Netherlands, June 4-8, 2000), Verlag MIT, Bremen (2000), pp. 207-215.

    Google Scholar 

  7. M. S. Plesset and S. A. Zwick, “The growth of vapor bubbles in superheated liquids,” J. Appl. Phys., 25, No. 4, 493-500 (1954).

    Google Scholar 

  8. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  9. L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 6: Fluid Mechanics, Pergamon Press, Oxford-Elmsford, New York (1987).

    Google Scholar 

  10. V. A. Akulichev, V. N. Alekseev, and V. A. Bulanov, Periodic Phase Transformations in Liquids [in Russian], Nauka, Moscow (1986).

    Google Scholar 

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Authors and Affiliations

  1. Tyumen' Department, Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Tyumen', 625000

    S. V. Amel'kin & V. L. Mokan

Authors
  1. S. V. Amel'kin
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  2. V. L. Mokan
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Amel'kin, S.V., Mokan, V.L. Dynamic adsorption in a radial flow of a solution around a spherical cavity. Journal of Applied Mechanics and Technical Physics 43, 424–431 (2002). https://doi.org/10.1023/A:1015374522009

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