Suspension Flows in a Pipeline with Partial Phase Separation

Details Suspension Flows in a Pipeline with Partial Phase Separation Suspension Flows in a Pipeline with Partial Phase Separation

2001-09-28

arxiv.org/abs/physics/0109073v2

Mathematical and Computer Modeling, 33/4-5, 2001, pp. 445-467

Physics

Fluid Dynamics

29 pages, 7 figures

Scientific paper

10.1016/S0895-7177(00)00254-5

The formulation of a model for the evolution of the flow of a solid-liquid mixture (coal-water) in a horizontal pipeline with partial phase separation is the aim of this work. Problems of instabilities due to complex eigenvalues, observed in previous models, seem to be completely solved in the present model, in which we give the genesis of the different terms written in the equations, coming from the natural definition of mass and momentum balance, and the consequent proof of well-posedness of the obtained PDE system with boundary-Cauchy data. The model describes a three-layer flow. Most of the material is carried by the upper layer, while the bottom layer consists of an immobile sediment. The intermediate layer grows to a maximum thickness and has the role of regulating the mass exchange between the extreme layers. In the last section we present some simulations for a particular choice of flow regime, and boundary-Cauchy data, that were suggested by experimental results provided by Snamprogetti (Fano, Italy).

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