Micropolar Fluids: Theory and Applications (MSSET)

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9780817640088: Micropolar Fluids: Theory and Applications (MSSET)

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 C. A. 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.

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From the Author:

Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor and include, as a special case, the well-established Navier-Stokes model.

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 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, manageable to both mathematicians who study its theory and physicists and engineers who apply it.

THE MAIN AIM OF THE BOOK is to present the theory and applications of micropolar fluids to a wide range of readers. We took pains to make the presentation both CLEAR and UNIFORM. We believe that the book will be interesting for applied mathematicians eager to study a quite new field of research that has promising perspectives, many applications, and where there is much to be done. On the other hand, it will be helpful for theoretically orientated engineers and physicists needing a unified picture of the mathematical theory that underlines the applications of the model of micropolar fluids.

In particular, we hope that it will be attractive for graduate and postgraduate students of mathematics and technical sciences. To this end quite a number of EXERCISES have been provided to help in an active study.

To the knowledge of the author it is THE ONLY BOOK in the mathematical literature devoted to hydrodynamics of micropolar fluids.

It is organized as follows.

In Part I we describe the model of micropolar fluids and show its place in the more general context of continuum mechanics.

Part II, the main body of the book, presents a mathematical analysis of equations of motion of micropolar fluids. This part contains mainly results obtained in the last decade by the author and his collaborators.

Finally, Part III is devoted to selected applications of micropolar fluids (lubrication theory, porous media, exact solutions for Poiseuille and Couette flows, comparison of solutions of the Navier-Stokes and micropolar fluid models, a numerical algorithm, etc.).

To make the book self-contained a section on mathematical preliminaries is included.

Several sections "Comments and Bibliographical Notes" contain a REVIEW of existing literature devoted to mathematical aspects of flows of micropolar fluids, an outline of other similar models, remarks on several aspects of modeling and other applications, as well as some indications of research perspectives.

Thanks for your interest in my book.

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Book Description BIRKHAUSER BOSTON INC, United States, 1999. Hardback. Book Condition: New. 1999 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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 C. A. 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. Bookseller Inventory # LIE9780817640088

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