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Multiphase Science and Technology
ONE-DIMENSIONAL MODEL FOR NUMERICAL SIMULATION OF ANNULAR FLOW IN HORIZONTAL AND VERTICAL PIPES
Faculty of Energy and Mechanical Engineering, Shaihd Beheshti university
Raad I. Issa
Department of Mechanical Engineering, Imperial College London, South Kensington SW7 2AZ, United Kingdom
The results of the application of a general mathematical model to simulate two-phase annular gas-liquid flow in both horizontal and vertical pipes are presented. The method is based on the transient one-dimensional two-fluid model wherein the two phases are considered as (i) liquid layer and (ii) a mixture of the gas and liquid droplets in which the droplet concentration in the mixture is treated as a flow variable. The model entails the introduction of a scalar transport equation for the conservation of mass of liquid droplets accounting for liquid transfer to and from the film liquid layer. The rates of the entrainment and deposition of droplets are supplied as closure relations derived from modifications of models existing in the literature. Using the new model, the droplet entrained fraction (E), which is defined as the ratio of the droplet to the total liquid mass flow rate, can be computed. The purpose of the present paper is to validate the entrainment and deposition closure models used through comparisons of the computed entrained fraction against different experimental data found in the literature for steady, fully developed flow. The present comparisons show satisfactory agreement with most of the data with discrepancies of around ±30%. What is significant is that both horizontal and vertical annular flows can be predicted to this degree of accuracy using the same model.
Al-Sarkhi, A. and Hanratty, T.,
Effect of pipe diameter on the drop size in a horizontal annular gas–liquid flow.
Asali, J. C.,
Entrainment in vertical gas-liquid annular flow.
Azzopardi, B. J.,
Horizontal stratifying/annular gas-liquid flow.
Barbosa Jr., J., Hewitt, G., Konig, G., and Richardson, S.,
Liquid entrainment, droplet concentration and pressure gradient at the onset of annular flow in a vertical pipe.
Binder, J. L.,
Use of Lagrangian method to discribe particle deposition and distribution in discretised flows.
Bonizzi, M. and Issa, R.,
A model for simulating gas bubble entrainment in two-phase horizontal slug flows.
The prediction of dispersed flows boundaries in liquid-liquid and gas-liquid systems.
Cioncolini, A. and Thome, J. R.,
Prediction of the entrained liquid fraction in vertical annular gas-liquid two-phase flow.
Cioncolini, A. and Thome, J. R.,
Entrained liquid fraction prediction in adiabatic and evaporating annular two-phase flow.
Investigation of separated flow model in annular gas-liquid two-phase flows.
Dallman, J., Laurinat, J., and Hanratty, J.,
Entrainment for horizontal annular gas-liquid flow.
Modelling of annular two-phase flow in horizontal and vertical pipes including the transition from the stratified flow regime.
Emamzadeh, M. and Issa, R.,
A model for predicting the transition between stratified and annular flow in horizontal pipes.
Govan, A. H.,
Modelling of vertical annular flow and dispersed two-phase flows.
Hart, J., Hamersma, P., and Fortuin, J.,
Correlations predicting frictional pressure drop and liquid holdup during horizontal gas-liquid pipe flow with a small liquid holdup.
Hewitt, G. F. and Roberts, D. N.,
Studies of two phase flow patterns by simultaneous x-ray and flash photography.
Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes.
Ishii, M. and Grolmes, M.,
Inception criteria for droplet entrainment in two-phase concurrent film flow.
Ishii, M. and Kataoka, I.,
Hydrodynamics of annular-dispersed flow.
Ishii, M. and Mishima, K.,
Droplet entrainment correlation in annular two-phase flow.
Issa, R. and Kempf, M.,
Simulation of slug flow in horizontal and nearly horizontal pipes with two-fluid model.
Issa, R. and Montini, M.,
The effect of surface tension and diffusion on one-dimensional modelling of slug flow.
Kataoka, I., Ishii, M., and Nakayama, A.,
Entrainment and desposition rates of droplets in annular two-phase flow.
Studies of the effects of pipe size on horizontal annular two-phase flows.
Lopez de Bertodano, M. A., Assad, A., and Beus, S. G.,
Experiments for entrainment rate of droplets in the annular regime.
Lopez de Bertodano, M. A., Jan, C., and Beus, S. G.,
Annular flow entrainment rate experiment in a small vertical pipe.
Mandhane, J. M., Gregory, G. A., and Aziz, K.,
A flow pattern map for gas–liquid flow in horizontal pipes.
Okawa, T., Kitahara, T., Yoshida, K., Matsumoto, T., and Kataoka, I.,
New entrainmetn rate correlation in annular two-phase flow applicable wide range of flow condition.
Oliemans, R. V. A., Pots, B. F. M., and Tromp, N.,
Modelling of annular dispersed two-phase flow in vertical pipes.
Ottens, M., Hoefsloot, H., and Hamersma, P.,
Correlations predicting liquid hold-up and pressure gradient in steady-state (nearly) horizontal co-current gas-liquid pipe flow.
Owen, D. G.,
An experimental and theoretical analysis of equilibrium annular flows.
Paleev, I. and Filippovich, B.,
Phenomena of liquid transfer in two-phase dispersed annular flow.
Pan, L. and Hanratty, T.,
Correlation of entrainment for annular flow in horizontal pipes.
Paras, S. and Karabelas, A.,
Droplet entrainment and deposition in horizontal annular flow.
Sawant, P., Ishii, M., and Mori, M.,
Droplet entrainment correlation in vertical upward co-current annular two-phase flow.
Schadel, S., Leman, G., Binder, J., and Hanratty, T.,
Rates of atomization and deposition in vertical annular flow.
Schadel, S. A.,
Atomization and deposition rates in vertical annular two-phase flow.
Sommerfeld, M., van Wachem, B., and Oliemans, R. (Eds.),
Best Practice Guidlines for Computational Fluid Dynamics of Dispersed Multiphase Flows.
Droplet deposition and entrainment modeling based on the three-fluid model.
Whalley, P. B., Hewitt, G. F., and Hiutchinson, P.,
Experimental wave and entrainment measurements in vertical annular two-phase flow.
Effect of pipe diameter on horizontal annular two-phase flow.
Williams, L., Dykhno, L., and Hanratty, T.,
Droplet flux distributions and entrainment in horizontal gas-liquid flows.
Flow structure of vertical annular flow.
Zaichik, L. and Alipchenkov, V.,
A statistical model for transport and deposition of high-inertia colling particles in turbulent flow.
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