Gas–Liquid Interfacial Friction Factor for the Transition from Stratified to Slug Flow

Abstract

Calculations based on the slug stability model and simplified stratified flow model provide predictions of the critical liquid height and the critical superficial velocities of a stratified flow for the transition to a slug flow in a horizontal pipe. Since slug flow derives from different interfacial waves patterns, previous interfacial waves model in stratified gas-liquid flows brings about the discrepancy between theoretical prediction and experimental data. A partial analysis for this behavior is given, which recognizes that the values of gas-liquid interfacial friction factor at the onset of slug flow have been underestimated, especially at high gas flows, and they should be obtained indirectly from other measured variables. Modified correlations for the interfacial friction factor are presented and better agreement between predicted and measured critical superficial velocities has been obtained.

An Empirical Model to Predict the Transition Between Stratified and Nonstratified Gas–Liquid Two-Phase Flow in Horizontal and Downward Inclined Pipes

“…(20) can be also cast in the form of two-phase mixture mass flux (G) given by Eq. (25). The mass flux calculated using this equation is the limiting value of G below which stratified flow would exist in a given two-phase flow system.…”

“…The accuracy of the proposed model is compared against the models of Taitel and Dukler [13] and Cheng et al [16] using data tabulated in Table 2 [1,2,3,4,5,6,19,[21][22][23][24][25][26][27]. The correlation of reference 13 is used for comparison against all data considered in this study, while the model of reference 16 is used only for horizontal two-phase flow data (since it is developed and recommended to be used for horizontal two-phase flow).…”

“…Air-water 0, -5, -10, -20, -30, -45, -60, -75 998 1 Andritsos [23] 95.3 Air-water 0 998 1 Jepson et al [24] 300 Air-water 0 998 1 Nguyen [1] 45.5 Air-water 0, -7, -20, -45, -67 998 1 Shoham [2] 25.4 Air-water 0, -10, -30, -50, -70 998 1 Ping et al [25] 50.4 Air-oil 0 856 63 Kang et al [6] 101 Air-oil -15, -30 ≈ 910 2.5 Kokal and Stanislav [5] 25.4 Air-oil -1, -5, -9 860 7 Meng et al [26] 50.1 Air-oil 0, -1, -2 875 5.6 Colombo et al [22] 8.9 R-134a 0 1278 0.25 Crawford et al [3] 25.4 R-113 -15, -30, -45, -60 1379 0.28 Quiben and Thome [21] 13.8 R22/R-410A 0 1265/1150 0.21/0.15 Thome and Hajal [19] 12 R-134a 0 1260 0.23 Gibson [4] 50.1 A i r -K 2 CO 3 -2, -7 1420 3 Andritsos [23] 95.3 Air-glycerin 0 1160-1220 10-80 Mukherjee [27] 38.1 Air-kerosene -5, -20, -30, -50, -70 780-800 1.6-2 It is also of interest to check the performance of the proposed correlation against the empirical model of Cheng et al [16] for horizontal two-phase flow. As shown in Figure 7, all three correlations appear to predict stratified flow data correctly.…”

Prediction of Turbulent–Turbulent Stratified Gas–Liquid Flow in Horizontal Pipe Using CFD-Generated Specified Shear Wall Method

“…Liné and Lopez (1997) developed a model to account for a wavy surface and the interfacial transfer of momentum induced both by pressure and viscous stress distributions along the wavy gas-liquid interface. Liu et al (2008) used a slug stability model and simplified stratified flow model to predict the transition from stratified to slug flow and calculated the critical phase velocities and critical liquid level height. Tzotzi and Andritsos (2013) developed a new local model based on a TF model for wavy flow in which the stratified flow was divided into twodimensional wave and Kelvin-Helmholtz wave sub-regimes.…”

Effect of bubble volume on the sweeping velocity of air bubbles in horizontal pipelines in water supply system

“…Ni et al (2008) believed that bubbles are merely affected by surface tension and buoyancy force. Liu et al (2008) proposed the correction relation of the friction coefficient between the air phase and water phase using theoretical and experimental analysis. Wang et al (2019) conducted air-water two-phase flow experiments using a horizontal pipeline, and deduced the friction coefficient between the air phase and water phase.…”