dorsal/arxiv
View SchemaSuspension Flows in a Pipeline with Partial Phase Separation
| Authors | Alessandro Speranza |
|---|---|
| Categories | |
| ArXiv ID | physics/0109073 |
| URL | https://arxiv.org/abs/physics/0109073 |
| DOI | 10.1016/S0895-7177(00)00254-5 |
| Journal | Mathematical and Computer Modeling, 33/4-5, 2001, pp. 445-467 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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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"abstract": "The formulation of a model for the evolution of the flow of a solid-liquid\nmixture (coal-water) in a horizontal pipeline with partial phase separation is\nthe aim of this work. Problems of instabilities due to complex eigenvalues,\nobserved in previous models, seem to be completely solved in the present model,\nin which we give the genesis of the different terms written in the equations,\ncoming from the natural definition of mass and momentum balance, and the\nconsequent proof of well-posedness of the obtained PDE system with\nboundary-Cauchy data.\n The model describes a three-layer flow. Most of the material is carried by\nthe upper layer, while the bottom layer consists of an immobile sediment. The\nintermediate layer grows to a maximum thickness and has the role of regulating\nthe mass exchange between the extreme layers.\n In the last section we present some simulations for a particular choice of\nflow regime, and boundary-Cauchy data, that were suggested by experimental\nresults provided by Snamprogetti (Fano, Italy).",
"arxiv_id": "physics/0109073",
"authors": [
"Alessandro Speranza"
],
"categories": [
"physics.flu-dyn",
"physics.comp-ph"
],
"doi": "10.1016/S0895-7177(00)00254-5",
"journal_ref": "Mathematical and Computer Modeling, 33/4-5, 2001, pp. 445-467",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Suspension Flows in a Pipeline with Partial Phase Separation",
"url": "https://arxiv.org/abs/physics/0109073"
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