A theoretical model for the computation of pressure drop in bubble-train fl
ow inside capillaries of square cross-section was developed. The model is b
ased on three contributions: hydrostatics, viscous pressure drop, and capil
lary pressure drop. Capillary pressure drop is related to the shape of the
fronts and ends of the bubbles. The model does not include entrance or exit
effects, has no adjustable parameters, and agrees very well with available
experimental data.
For a given set of flow parameters, bubble velocity and liquid slug average
velocity are computed as a function of gas and liquid superficial velociti
es. The length of the unit cell determines the number of bubbles inside the
capillary for a given flow situation. The model requires experimental info
rmation of average bubble lengths to compute the length of a unit cell cons
isting of a bubble and a liquid slug.
The three pressure contributions for a unit capillary length are linear fun
ctions of the number of bubbles inside the capillary. The length of the bub
bles in bubble-train flows is a critical parameter in the computation of pr
essure drop. (C) 2001 Elsevier Science B.V. All rights reserved.