Toward a Mathematical Analysis for Drift-Flux Multiphase Flow Models in Networks

Authors:
Mapundi K. Banda;Michael Herty;Jean-Medard T. Ngnotchouye
Affiliations:
mapundi.banda@wits.ac.za;herty@mathc.rwth-aachen.de;207521833@ukzn.ac.za
Venue:
SIAM Journal on Scientific Computing
Year:
2010

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Abstract

Dynamics of multiphase flows through networks are considered. The dynamics of flow through the connected arcs are governed by an isothermal no-slip drift-flux model. Such problems arise in the context of multicomponent flows or in gas transport in pipe networks in which a phase change takes place due to geometrical or physical forces. Coupling conditions for the vertices (joints) in a network have been proposed. We present conditions at and introduce a mathematical representation of the vertex flow for the no-slip drift-flux case of multiphase flows. Mathematical analysis of coupling conditions at the vertices as well as numerical simulations and comparative studies with theoretical predictions are undertaken.