部分相分离管道中的悬浮流
Suspension Flows in a Pipeline with Partial Phase Separation
摘要：
制定的模型的发展的固液混合物（煤水）在水平管道部分相分离的流动是这项工作的目的。由于复杂的本征值，在以前的模型中观察到的不稳定性问题，似乎是完全解决在本模型中，我们给的成因写在方程中的不同条款，来自自然的定义质量和动量平衡，以及随之而来的证明所获得的偏微分方程系统与边界柯西数据的适定性。该模型描述了一个三层流动。大部分物质由上层携带，而底层由不动的沉积物组成。中间层生长到最大厚度，并且具有调节极端层之间的质量交换的作用。在最后一节中，我们提出了一些模拟的特定选择的流态，边界柯西数据，这是由Snamprogetti（法诺，意大利）提供的实验结果所建议的。
英文摘要：
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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