OP-II-3

OP-I-23where L c – capillary length; L uc – average unit cell length, σ – surface tension. Hence,corresponding pressure drop caused by permanent new surface formationΔWΔF=2πRU=2RbpΔF2sRwUsLLcucσ. (5)Total pressure drop for gas-liquid Taylor flow in micro channelsΔpcal= Δp с+ Δp. (6)A comparison of calculated and experimental [2] results illustrated by Fig. 1shows acceptable fit for most of the data.ΔFΔpΔpcalexp10аbc10.10 0.2 0.4 0.6 0.8ε LFig. 1. Comparison of calculated (this work) and experimental data [2] of pressure drop forair-water mixture in capillaries with diameters of 0.92 mm (a), 2 mm (b), 3.02 mm (c) as afunction of relative length of bubbles ε L .References[1]. Slezkin, N.A., Dinamika vyazkoi neszhimaemoi zhidkosti (Dynamics of Viscous IncompressibleLiquid), Moscow: Gos. Izd. Tekh.-Teor. Lit., 1955.[2]. Liu, H., Vandu, C.O., and Krishna, R., Hydrodynamics of Taylor Flow in Vertical Capillaries: FlowRegimes, Bubble Rise Velocity, Liquid Slug Length, and Pressure Drop, Ind. Eng. Chem. Res.,2005, vol. 44, p. 4884.81