Micropolar Fluids: Theory and Applications
Micropolar Fluids: Theory and Applications
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DOI：
10.1007/978-1-4612-0641-5
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发表时间：
1998
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影响因子：
--
通讯作者：
G. Lukaszewicz
中科院分区：
文献类型：
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作者：
G. Lukaszewicz
微极性流体是具有微观结构的流体。它们属于一类具有非对称应力张量的流体，我们将其称为极性流体，并且作为一种特例，包括我们将其称为普通流体的完善的经典流体纳维-斯托克斯模型。从物理上讲，微极性流体可以代表由悬浮在粘性介质中的刚性、随机取向（或球形）颗粒组成的流体，其中流体颗粒的变形被忽略。 CA Eringen 在[65]中引入的微极性流体模型是一个非常平衡的模型，值得研究。首先，它是经典纳维-斯托克斯模型的有理有据且意义重大的推广，在理论和应用上涵盖了比经典模型更多的现象。而且，它很优雅，而且不太复杂，换句话说，无论是研究其理论的数学家还是应用它的物理学家和工程师都可以使用。本书的主要目的是向广大读者介绍微极性流体的理论，特别是其数学理论。本书还介绍了微极性流体的两种应用，一种在润滑理论中，另一种在多孔介质理论中，以及特定问题的几种精确解和数值方法。我们煞费苦心地使演示既清晰又统一。
Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids. Physically, micropolar fluids may represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of fluid particles is ignored. The model of micropolar fluids introduced in [65] by CA Eringen is worth studying as a very well balanced one. First, it is a well-founded and significant generalization of the classical Navier-Stokes model, covering, both in theory and applications, many more phenomena than the classical one. Moreover, it is elegant and not too complicated, in other words, man ageable to both mathematicians who study its theory and physicists and engineers who apply it. The main aim of this book is to present the theory of micropolar fluids, in particular its mathematical theory, to a wide range of readers. The book also presents two applications of micropolar fluids, one in the theory of lubrication and the other in the theory of porous media, as well as several exact solutions of particular problems and a numerical method. We took pains to make the presentation both clear and uniform.