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Mass transfer between streams of liquid and vapor during evaporation from capillaries

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Abstract

We have estimated the degree of departure from one-dimensionality of the relative humidity field during evaporation from a capillary, allowing for interaction of the vapor and liquid phases according to the Deryagin-Nerpin-Churaev theory. The boundary conditions for the non-one-dimensional problem have been formulated. An analytical solution has been obtained for a non-one-dimensional relative humidity field in a capillary under simplifying assumptions.

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Abbreviations

ϕ:

relative humidity of air

l :

capillary length

R:

capillary radius

Rc :

universal gas constant

M:

molecular weight of water

v :

viscosity of water

ρ:

density of water

σ:

surface tension of water

h:

thickness of film of water on capillary wall

h00:

thickness of stationary film of water

II:

disjoining pressure of water in film

g:

flux density

L:

phase conductivity

D:

diffusion coefficient for water vapor in air

P:

barometric pressure

ps :

pressure of saturated water vapor

T:

temperature

v,l :

denote, respectively, vapor and liquid phases

o and m:

coordinates of the outlet and the meniscus of the capillary

References

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  2. A. V. Luikov, Transport Phenomena in Capillary-Porous Materials [in Russian], GITTL, 1954.

  3. L. G. Balaev, Pochvovedenie, no. 2, 1963.

  4. N. V. Churaev, DAN SSSR,148, no. 6, 1963.

  5. B. V. Deryagin, S. V. Nerpin, and N. V. Churaev, Kolloidn. zhurn.26, no. 3, 1964.

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  6. B. V. Deryagin, S. V. Nerpin, and N. V. Churaev, Collected Papers of the Agrophysics Institute [in Russian], no. 11, 1965.

  7. B. V. Deryagin and M. M. Kusakov, Izv. AN SSSR, ser. khim., no. 5, 1937.

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Authors and Affiliations

  1. Leningrad Agrophysics Institute, USSR

    A. M. Globus & B. M. Mogilevskii

Authors
  1. A. M. Globus
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  2. B. M. Mogilevskii
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Globus, A.M., Mogilevskii, B.M. Mass transfer between streams of liquid and vapor during evaporation from capillaries. Journal of Engineering Physics 11, 116–118 (1966). https://doi.org/10.1007/BF00831266

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  • DOI: https://doi.org/10.1007/BF00831266

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