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Two-phase bubbly flow through vertical tube: Void-fraction distribution and velocity profiles

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  • Vreenegoor, A.J.N.
  • Geurst, J.A.

Abstract

The macroscopic theory of two-phase bubbly flow developed recently by one of the authors is extended with a dispersive force that models the small irregular motions of the bubbles which, in the case of vertical two-phase flow, come into prominince near a solid boundary. It is demonstrated by means of analytical and numerical calculations how the dispersive force and the “lift” force already contained in the original theory combine to produce void-fraction distributions and velocity profiles for vertical pipe flow which are in good agreement with the experimental results obtained by Serizawa et al., Wang et al. and Kapteyn. In particular the “turbulent” character of the velocity profile for the liquid phase is reflected by the computations. In conformity with the experiments the void-fraction distribution displays a distinct maximum in the vicinity of the wall both for the cocurrent upward flow of a bubbly liquid/gas mixture and the collective rise of bubbles in a stagnant liquid.

Suggested Citation

  • Vreenegoor, A.J.N. & Geurst, J.A., 1993. "Two-phase bubbly flow through vertical tube: Void-fraction distribution and velocity profiles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(3), pages 410-442.
    • Handle: RePEc:eee:phsmap:v:192:y:1993:i:3:p:410-442
    DOI: 10.1016/0378-4371(93)90046-7
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    References listed on IDEAS

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    1. Kerry Richter, 1985. "Nonmetropolitan growth in the late 1970s: The end of the turnaround?," Demography, Springer;Population Association of America (PAA), vol. 22(2), pages 245-263, May.
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