Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31324
##### Numerical Analysis of Oil-Water Transport in Horizontal Pipes Using 1D Transient Mathematical Model of Thermal Two-Phase Flows

Authors: Evgeniy Burlutskiy

Abstract:

The paper presents a one-dimensional transient mathematical model of thermal oil-water two-phase emulsion flows in pipes. The set of the mass, momentum and enthalpy conservation equations for the continuous fluid and droplet phases are solved. Two friction correlations for the continuous fluid phase to wall friction are accounted for in the model and tested. The aerodynamic drag force between the continuous fluid phase and droplets is modeled, too. The density and viscosity of both phases are assumed to be constant due to adiabatic experimental conditions. The proposed mathematical model is validated on the experimental measurements of oil-water emulsion flows in horizontal pipe [1,2]. Numerical analysis on single- and two-phase oil-water flows in a pipe is presented in the paper. The continuous oil flow having water droplets is simulated. Predictions, which are performed by using the presented model, show excellent agreement with the experimental data if the water fraction is equal or less than 10%. Disagreement between simulations and measurements is increased if the water fraction is larger than 10%.

Keywords: mathematical model, Oil-Water, Pipe flows

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1059469

References:

[1] J. Lovick, P. Angeli, "Experimental studies on the dual continuous flow pattern in oil-water flows," Int. Journal of Multiphase Flows, vol. 30, pp. 139-157, 2004.
[2] J.Y.-L. Lum, T. Al-Wahaibi, P. Angeli, "Upward and downward inclination oil-water flows," Int. Journal of Multiphase Flows, vol. 32, pp. 413-435, 2006.
[3] P. Poesio, "Experimental determination of pressure drop and statistical properties of oil-water intermittent flow through horizontal pipe," Exp. Thermal and Fluid Sci., vol. 32, pp. 1523-1529, 2008.
[4] P. Poesio, D. Strazza, G. Sotgia, "Very-viscous-oil/water/air flow through horizontal pipes: pressured rop measurement and prediction," Chemical Eng. Science, vol. 64, pp. 1136-1142, 2009.
[5] A.C. Bannwart, O.M.H. Rodriguez, F.E. Trevisan, F.F. Viera, C.H.M. de Carvalho, "Experimental investigation on liquid-liquid-gas flow: flow patterns and pressure-gradient," J. of Petr. Science and Eng., vol. 65, pp. 1-13, 2009.
[6] O. Cazarez, D. Montoya, A.G. Vital, A.C. Bannwart, "Modeling of three-phase heavy oil-water-gas bubbly flow in upward vertical pipes," Int. Journal of Multiphase Flows, vol. 36, pp. 439-448, 2010.
[7] K.H. Bendiksen, D. Maines, R. Moe, S. Nuland, "The Dynamic Two- Fluid Model OLGA: Theory and Application," SPE Production Eng., vol. 6, N 2, pp. 171-180, 1991.
[8] K.K. Botros, J. Geerligs, J. Zhou, A. Glover, "Measurements of flow parameters and decompression wave speed follow rapture of rich gas pipelines, and comparison with GASDECOM," International Journal of Pressure Vessels and Piping, vol. 84, pp. 358-367, 2007.
[9] E. Burlutskiy, "Numerical analysis of rapid decompression in conventional dry gases using one-dimensional modelling," International Conference on Fluid Mechanics and Thermal Engineering -ICFMTE- 2012 (28-30 March 2012), Madrid, Spain, to be published
[10] P.R.H. Blasius, "Das Aehnlichkeitsgesetz bei Reibungsvorgangen in Fluessigkeiten," Forschungsheft, vol. 131, pp. 1-41, 1913.
[11] Y. Taitel, A.E. Dukler, "A model for predicting flow regime transitions in horizontal and near horizontal gas-liquid flow," AIChE Journal, vol. 22, pp. 47-55, 1976.
[12] G.B. Wallis, "One-dimensional two-phase flows," McGraw Hill, New York, 1969.
[13] L. Schiller, A. Naumann, "Ueber die grundlegende berechnung bei der schwerkraftaufbereitung," Ver. Deut. Ing., vol. 44, pp. 318-320, 1933.
[14] S. Patankar, "Numerical heat transfer and fluid flow," Hemisphere Publishing, New York, 1980.