Abstract
A one-dimensional, isothermal, transient model for the stratified flow of heavy oil, water and gas, in horizontal pipelines, is presented. The two-fluid mathematical model consists of mass, momentum and energy conservation equations for every phase. The model takes into account: (1) the hydrostatic pressure, (2) wall shear stress, (3) interfacial shear stress, (4) gas–oil interfacial roughness, and (5) the non-Newtonian oil behavior. The model is able to predict pressure, volumetric fraction, temperature, and velocity profiles for every phase. The numerical solution is based on the finite differences technique in an implicit scheme. The model is validated using experimental data reported in literature, for a light oil (32°API), and a heavy oil (14°API); in both cases the pressure drop calculated by the model is reasonably close to the experimental data.
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Centeno-Reyes, C., Cazarez-Candia, O. (2012). Mathematical Model for Heavy Oil–Water–Gas Stratified Flow in Horizontal Pipes. In: Klapp, J., Cros, A., Velasco Fuentes, O., Stern, C., Rodriguez Meza, M. (eds) Experimental and Theoretical Advances in Fluid Dynamics. Environmental Science and Engineering(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17958-7_22
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DOI: https://doi.org/10.1007/978-3-642-17958-7_22
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