An approximate solution for liquid flow along corners of noncircular c
apillaries is proposed that relates the flow resistance to the geometr
y of a capillary and to the contact angle of the interfaces. The theor
y predicts liquid flow rates for both two-phase (hydrocarbon/air) and
three-phase (hydrocarbon/air/water) drainage. This solution is found t
o be superior to other expressions in the literature. Drainage rates o
f two different hydrocarbons along corners of square capillaries are m
easured with both air and water as stationary phases. The new solution
was used to predict the measured hydrocarbon drainage rates successfu
lly. Comparison of the measured and predicted drainage rates indicates
that a free boundary is appropriate for the air/hydrocarbon interface
and a no-flow boundary condition is valid for the water/hydrocarbon i
nterface. The effect of spreading coefficient on drainage rates is als
o demonstrated by the measurements and is compared with the proposed s
olution. A brief discussion of three-phase relative permeabilities is
offered based on the measured drainage rates and proposed solution. (c
) 1997 Academic Press