Multiphase mixtures are a common occurrence in oil and gas production and transportation pipelines. This mixture flow can be modeled as the biphasic flow of liquid and gas. The simultaneous flow of liquid and gas in pipelines is characterized by the pattern in which the phases are arranged. Over a wide range of flows of the phases, including the flows common to the oil industry, the flow is arranged in an intermittent pattern known as slug flows. This flow pattern is characterized by a random repetition in time and space of liquid slugs and elongated bubbles of gas. This paper presents the mathematical and numerical modeling of intermittent slug flows. Mathematical modeling is based on the application of mass conservation equations and the quantity of bubble and slug momentum. The numerical model is the dynamic tracking of slugs, in which the bubbles and slugs are spread along the pipe and can interact through the exchange of mass and the quantity of momentum. A model for the random input of the bubbles and slugs at the pipe entrance is also proposed, to capture the inherent intermittency of the flow. Numerical results obtained from the simulations are presented and they are compared with experimental data for the vertical and horizontal flow of air and water. The results show the average values and the distribution of variables along the pipeline. Furthermore, the simulation results are compared using the random and periodic boundary conditions. There is a good comparison between the numerical and experimental results, and the intermittent flow is captured.41105124Barnea, D., Taitel, Y., A model for slug length distribution in gas-liquid slug flow (1993) International Journal of Multiphase Flow, 19 (5), pp. 829-838. , Amsterdam, Oct. 1993Dukler, A.E., Hubbard, M.G., A model for gas-liquid slug flow in horizontal and near horizontal tubes (1975) Industrial and Engineering Chemistry Fundamentals, 14 (4), pp. 337-347. , Washington, NovFernandes, R.C., Semiat, R., Dukler, A.E., Hydrodynamic model for gas-liquid slug flow in vertical tubes (2004) AIChE Journal, 29 (6), pp. 981-989. , Malden, JunGrenier, P., Jean, F., (1997) Evolution des Longueurs de Bouchons en Écoulement Intermittent Horizontal, p. 198. , Tese (Doutorado) - Institut de Mécanique des Fluides de Toulouse, Institut National Polytechnique de Toulouse, Toulouse, 1997Ujang, P.M., Lawrence, C.J., Hewitt, G.F., Conservative incompressible slug tracking model for gas-liquid flow in a pipe (2006) Cranfield: BHR Group, , NORTH AMERICAN CONFERENCE ON MULTIPHASE TECHNOLOGY, 5., 2006, Banff. Paper presentedRosa, E.S., (2006) Análise de Escoamentos em Golfadas de Óleos Pesados e de Emulsōes Óleo-água, , [quarto relatório de atividades e resultados alcançados]. Campinas: Conselho Consultivo do Centro de Estudos de Petróleo da UNICAMP, 2006. Relatório apresentado para aprovação na 23a Reunião Ordinária entre o Centro de Pesquisas da Petrobras e a UNICAMP em 09 de junho deTaitel, Y., Barnea, D., Two-phase slug flow (1990) Advances in Heat Transfer, pp. 83-132. , Hartnett, J. P.Irvine Jr, T. F. Academic Press: San Diego, (Advances in Heat Transfer, 20)Taitel, Y., Barnea, D., A consistent approach for calculating pressure drop in inclined slug flow (1990) Chemical Engineering Science, 45 (5), pp. 1199-1206. , AmsterdamWallis, G.B., (1969) One Dimensional Two-phase Flow, p. 408. , New York: McGraw-Hill