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Study of mass transfer in a system of gas bubbles and a liquid

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The dissolution of a system of CO2 bubbles in water and aqueous solutions of dextrose has been studied experimentally. The interfacial surface area is calculated, and the mass-transfer coefficientβ is determined. A relation is found amongβ, the bubble diameter, the physical properties of the liquid, and the rate at which the gas is bubbled through the liquid. A criterial equation is proposed forβ.

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  1. 1.

    A. M. Rosen and V. S. Krylov, “Problems in the theory of mass transfer, “ Khim. prom-st, no. 1, 51–57, 1966.

  2. 2.

    J. A. Redfield and G. Houghton, “Mass transfer and drag coefficients for single bubbles at Reynolds numbers of 0.02-5000,” Chem. Engng Sci., vol. 20, no. 2, pp. 131–139, 1965.

  3. 3.

    V. G. Levich, Physicochemical Hydrodynamics [in Russian], Izd. AN SSSR, p. 332, 1952.

  4. 4.

    M. H. L. Baird and J. F. Davidson, “Gas absorption by large rising bubbles, “ Chem. Engng Sci., vol. 17, pp. 87–93, February 1962.

  5. 5.

    L. I. Agarev and K. N. Shabalin, “Absorption rate of relatively soluble and relatively insoluble gases during massive bubbling, “ Chem. Engng Sci., no. 5, pp. 8–12, 1952.

  6. 6.

    A. I. Johnson and C. W. Bowman, “Mass transfer in a bubble column, “ Canad. J. Chem. Engng, vol. 36, no. 6, pp. 253–261, 1958.

  7. 7.

    H. L. Shulman and M. C. Molstad, “Gas-bubble columns for gas-liquid contacting, “ Ind. Engng Chem., vol. 42, no. 6, pp. 1058–1070, 1950.

  8. 8.

    I. V. Belov and E. V. Prokolov, “Velocity and shape of air bubbles in water, “ PMTF [Journal of Applied Mechanics and Technical Physics], no. 3, 1968.

  9. 9.

    Chemical Handbook, Vol. 1, [in Russian], Goskhimizdat, Leningrad, p. 1010, 1962.

  10. 10.

    S. Bretschneider, Properties of Gases and Liquids [Russian translation], Khimiya, Moscow-Leningrad, 1966.

  11. 11.

    B. R. W. Pinsent, L. Pearson, and F. J. W. Roughton, “The kinetics of combination of carbon dioxide with hydroxide ions,” Trans. Faraday Soc., vol. 52, no. 11, pp. 1512–1516, 1956.

  12. 12.

    A. Kumar and N. R. Kuloor, “Blasenbildung in Flüssigkeiten niedriger Viskosität 〈mit Oberflächenspannung) unter Konstanten Strömungsbedingungen,” Chem. Techn., vol. 19, no. 2, pp. 78–82, 1967.

  13. 13.

    T. Nate and D. M. Himmelblau, “Mass transfer from large single bubbles at high Reynolds numbers,” AIChE Journal, vol. 13, no. 4, pp. 697–702, 1967.

  14. 14.

    L. N. Braginskii, M. A. Evilevich, and I. S. Pavlushenko, “Mass transfer during aeration by bubbling,” collection: Processes of Chemical Technology. Hydronamics and Heat and Mass Transfer [in Russian], Nauka, Moscow-Leningrad, pp. 304–308, 1965.

  15. 15.

    V. V. Pavlov and S. I. Popel, “Kinetic features of the reaction C+O=CO at bubble surfaces in a boiling bath,” Izuestiya VUZ. Chernaya metallurgiya, no. 6, pp. 5–10, 1964.

  16. 16.

    F. D. Richardson, “Rates of slag-metal reactions and steelmaking processes, “ Iron and Coal, vol. 183, no. 4871, pp. 1105–1116, 1961.

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Belov, I.V., Prokolov, E.V. Study of mass transfer in a system of gas bubbles and a liquid. J Appl Mech Tech Phys 10, 119–125 (1969).

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  • Aqueous Solution
  • Mathematical Modeling
  • Mass Transfer
  • Mechanical Engineer
  • Industrial Mathematic