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On the theory of extraction from falling droplets

  • R. Kronig
  • J. C. Brink
Article

Summary

The extraction of a substance, dissolved in droplets of a fluid, when these are falling (or rising) in an other fluid under the influence of gravity, is investigated. The circulation currents which are caused in the droplets by the viscous forces between the two fluids modify the rate of extraction as compared with the case of droplets at rest. Under certain simplifying assumptions a differential equation governing the combined action of convection and diffusion is derived. The rate of extraction follows from the solution of an eigenvalue problem.

Keywords

Viscous Force Polar Axis Elliptic Integral Stream Line Surrounding Fluid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1).
    Hadamard, J., C. R. Acad. Sci., Paris 152 (1911) 1735; see also H. Lamb, Hydrodynamics, 6th ed., p. 600; Cambridge, 1932.zbMATHGoogle Scholar
  2. 2).
    Serret-Scheffers, Lehrbuch der Differential- und Integralrechnung, 4th and 5th ed., vol. 2, p. 78.Google Scholar
  3. 3).
    Carslaw, H. S., and J. C. Jaeger, Conduction of heat in solids, p. 200; Oxford, 1948.Google Scholar
  4. 4).
    Kamke, E., Differentialgleichungen, vol. 1, p. 220; Leipzig, 1942.Google Scholar

Copyright information

© Martinus Nijhoff, The Hague 1951

Authors and Affiliations

  • R. Kronig
    • 1
  • J. C. Brink
    • 1
  1. 1.Laboratorium voor Technische Physica der Technische HogeschoolDelft

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