Summary
The one-dimensional averaged equations for the conservation of mass and momentum have been solved for pipeline three-phase flows. The six governing evolution equations are not independent and they have been transformed to four evolution equations in hyperbolic form and supplemented with two algebraic equations. These equations have been solved by the two-step Lax-Wendroff method with Boris and Book antidiffusion. As for two-phase flows, small disturbances on the interfaces may grow forming a train of periodic, large amplitude, piecewise smooth waves joined together by shocks. Another example shown in the paper is the sweep-out of oil and water by a gas flow from a dip in a pipeline.
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© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Watson, M. (1993). A Model for Pipeline Three-Phase Flows. In: Donato, A., Oliveri, F. (eds) Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Notes on Numerical Fluid Mechanics (NNFM), vol 43. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87871-7_70
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DOI: https://doi.org/10.1007/978-3-322-87871-7_70
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-528-07643-6
Online ISBN: 978-3-322-87871-7
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