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首页> 外文期刊>International Journal of Heat and Fluid Flow >A mixture theory model for the forced convection flow through an unsaturated wellbore
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A mixture theory model for the forced convection flow through an unsaturated wellbore

机译：通过非饱和井筒的强制对流流动的混合理论模型

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摘要

This work studies the dynamics of the filling up of a rigid cylindrical porous matrix by a Newtonian fluid and the heat transfer associated phenomenon. A mixture theory approach is employed to obtain a preliminary local description for non-isothermal flows through a wellbore. The mixture consists of three overlapping continuous constituents, representing the porous matrix (solid constituent), the Newtonian fluid (liquid constituent) and an inert gas included to account for the compressibility of the mixture as a whole. Assuming the convective flow on radial direction only, a set of four non-linear partial differential equations describes the problem. Its hydrodynamic part—a non-linear hyperbolic system—is approximated by means of a Glimm's scheme, combined with an operator splitting technique, while an implicit finite difference scheme is used to simulate the thermal part. Some examples illustrate the proposed strategy.
机译：这项工作研究了牛顿流体填充刚性圆柱多孔基质的动力学以及与传热相关的现象。采用混合理论方法来获得通过井眼的非等温流动的初步局部描述。该混合物由三种重叠的连续组分组成，分别代表多孔基质（固体组分），牛顿流体（液体组分）和惰性气体，这些惰性气体考虑了整个混合物的可压缩性。假设对流仅在径向方向，则一组四个非线性偏微分方程描述了该问题。它的流体动力部分（一个非线性双曲系统）是通过Glimm方案与算子拆分技术相结合来近似的，而隐式有限差分方案则用于模拟热力部分。一些示例说明了提出的策略。

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