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Laminar counterflow of two mutually insoluble liquids within a narrow slot

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Abstract

Laminar counterflow of mutually insoluble liquids in a narrow slot is discussed. Expressions relating the velocity profiles in upward and downward flows with the physical properties of the liquids and volumetric flow rates are suggested. An equation for the volumetric flow is proposed for the case of inversionless movement (zero flow rate at the interface).

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Abbreviations

A :

δ/(S-gd)

B :

μ1/μ2

g :

free fall acceleration, m/s2

L :

slot length, m

p :

pressure, Pa

S :

slot thickness, m

V :

volumetric flow rate, m3/s

w :

local rate

y :

coordinate perpendicular to the wall, m

z :

vertical coordinate, m

δ:

the width of effective cross section occupied by the heavier liquid, m

μ:

dynamic viscosity, Pa s

ρ:

density, kg/m3

τ:

friction force, N

1:

heavier liquid

2:

lighter liquid

*:

inversionless flow

References

  1. Brinsmade, D.S. and Bliss, H., Extraction of Acetic Acid in Methyl Isobutyl Ketone with Water in a Wetted-Wall Tower,Trans. AIChE, 1943, vol. 39, no. 5, p. 679.

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  2. Morello, V.S. and Poffenberger, N., Commercial Extraction Equipment,Ind. Eng. Chem., Prod. Res. Dev., 1950, vol. 42, no. 6, p. 1021.

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  3. Zakharov, M.K. and Ainshtein, V.G., Flow of Two Immiscible Liquids in a Narrow Slot,Teor. Osn. Khim. Tekhnol., 1993, vol. 27, no. 5, p. 462.

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  4. Bird, R., Stewart, W., and Lightfoot, E.,Transport Phenomena. Translated under the titleYavleniya perenosa, Moscow: Khimiya, 1974.

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Authors and Affiliations

  1. Lomonosov State Academy of Fine Chemical Technology, pr. Vernadskogo 86, 117571, Moscow, Russia

    M. K. Zakharov, V. G. Ainshtein & Dzh L. Lokshin

Authors
  1. M. K. Zakharov
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  2. V. G. Ainshtein
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  3. Dzh L. Lokshin
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Zakharov, M.K., Ainshtein, V.G. & Lokshin, D.L. Laminar counterflow of two mutually insoluble liquids within a narrow slot. Theor Found Chem Eng 34, 232–235 (2000). https://doi.org/10.1007/BF02755971

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  • DOI: https://doi.org/10.1007/BF02755971

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