Micropolar Fluids

Micropolar Fluids PDF Author: Grzegorz Lukaszewicz
Publisher: Springer Science & Business Media
ISBN: 1461206413
Category : Technology & Engineering
Languages : en
Pages : 262

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Book Description
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.

Micropolar Fluids

Micropolar Fluids PDF Author: Grzegorz Lukaszewicz
Publisher: Springer Science & Business Media
ISBN: 1461206413
Category : Technology & Engineering
Languages : en
Pages : 262

Get Book Here

Book Description
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.

Micropolar Fluids

Micropolar Fluids PDF Author: Grzegorz Lukaszewicz
Publisher: Springer Science & Business Media
ISBN: 9780817640088
Category : Technology & Engineering
Languages : en
Pages : 284

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Book Description
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.

Theories of Fluids with Microstructure

Theories of Fluids with Microstructure PDF Author: V.K. Stokes
Publisher: Springer Science & Business Media
ISBN: 3642823513
Category : Science
Languages : en
Pages : 220

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Book Description
This book provides an introduction to theories of fluids with microstruc ture, a subject that is still evolving, and information on which is mainly available in technical journals. Several approaches to such theories, employ ing different levels of mathematics, are now available. This book presents the subject in a connected manner, using a common notation and a uniform level of mathematics. The only prerequisite for understanding this material is an exposure to fluid mechanics using Cartesian tensors. This introductory book developed from a course of semester-length lec tures that were first given in the Department of Chemical Engineering at the University of Delaware and subsequently were given in the Department of Mechanical Engineering at the Indian Institute of Technology, Kanpur. The encouragement of Professor A. B. Metzner and the warm hospitality of the Department of Chemical Engineering, University of Delaware, where the first set of notes for this book were prepared (1970-71), are acknowledged with deep appreciation. Two friends and colleagues, Dr. Raminder Singh and Dr. Thomas F. Balsa, made helpful suggestions for the improvement of this manuscript. The financial support provided by the Education Development Centre of the Indian Institute of Technology, Kanpur, for the preparation of the manuscript is gratefully acknowledged.

Applied Analysis, Computation and Mathematical Modelling in Engineering

Applied Analysis, Computation and Mathematical Modelling in Engineering PDF Author: Santanu Saha Ray
Publisher: Springer Nature
ISBN: 9811918244
Category : Computers
Languages : en
Pages : 373

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Book Description
This book is a compendium of the proceedings of the International Conference on Applied Analysis, Computation, and Mathematical Modelling in Engineering (AACMME-2021). The book covers a variety of applications such as mechanical, acoustical, physical, electrical, bio-mathematical, and computational fluid dynamics. Since mathematical modeling necessitates a wide range of skills and methods, the book concentrates on techniques that will be of specific interest to engineers, scientists, and those who work with discrete and continuous systems models. This book guides students, researchers, and professionals through the new approaches, the powerful tools for quickly mastering the most popular mathematical and computational models used in engineering and science. These new approaches enable readers to not only systematically create effective models, but also extend these models to any macroscopic physical structure.

Proceedings of Asia International Conference on Tribology 2018

Proceedings of Asia International Conference on Tribology 2018 PDF Author: Mohd Fadzli Bin Abdollah
Publisher: Malaysian Tribology Society
ISBN: 9671362524
Category :
Languages : en
Pages : 540

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Book Description
This ebook is a compilation of 234 papers presented at the 6th Asia International Conference on Tribology (ASIATRIB2018): Kuching, Sarawak - Malaysia from 17 to 20 September 2018.

Tribology in Materials and Applications

Tribology in Materials and Applications PDF Author: Jitendra Kumar Katiyar
Publisher: Springer Nature
ISBN: 3030474518
Category : Technology & Engineering
Languages : en
Pages : 306

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Book Description
This book broadens the knowledge of tribology. This book is evolved out of current research trends on tribological performance of systems related to nano tribology, rheology, engines, polymer brushes, composite materials, erosive wear and lubrication. The book deals with enhancing the ideas on tribological properties, the different types of wear phenomenon and lubrication enhancement. Further, the tribological performance of systems, whether nano, micro or macro-scale, depends upon a large number of external parameters and important among them are temperature, contact pressure and relative speed. Thus, the book focus on the theoretical aspects to industrial applications of tribology.

Boundary Elements and Other Mesh Reduction Methods XXX

Boundary Elements and Other Mesh Reduction Methods XXX PDF Author: L. Škerget
Publisher: WIT Press
ISBN: 1845641213
Category : Mathematics
Languages : en
Pages : 289

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Book Description
The major motivation behind the Boundary Element Method (BEM) was to reduce the dependency of analysis on the definition of meshes. This has allowed the method to expand naturally into new techniques such as Dual Reciprocity and all other Mesh reduction Methods (MRM). MRM and BEM continue to be very active areas of research with many of the resulting techniques applied to solve increasingly complex problems. This book contains papers presented at the much-acclaimed thirtieth International Conference on Boundary Elements and other Mesh Reductions Methods . The proceedings contain papers on practically all major developments in Boundary Elements, including the most recent MRM techniques, grouped under the following topics: Fluid Flow; Heat Transfer; Electrical Engineering and Electromagnetics; Damage Mechanics and Fracture; Mesh Reduction Techniques; Advanced Computational Techniques

Stabilization, Optimal and Robust Control

Stabilization, Optimal and Robust Control PDF Author: Aziz Belmiloudi
Publisher: Springer Science & Business Media
ISBN: 1848003447
Category : Technology & Engineering
Languages : en
Pages : 509

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Book Description
Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality. Mathematical foundations are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid mechanical, biological and materials scientific systems are laid out in detail. The combination of mathematical fundamentals with application of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists.

Computational Methods in Multiphase Flow IV

Computational Methods in Multiphase Flow IV PDF Author: A.A. Mammoli
Publisher: WIT Press
ISBN: 1845640799
Category : Science
Languages : en
Pages : 417

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Book Description
Fluid Dynamics is one of the most important topics of applied mathematics and physics. Together with complex flows and turbulence, multiphase flows remains one of the most challenging areas of computational mechanics, and even seemingly simple problems remain unsolved to date. Multiphase flows are found in all areas of technology, at all length scales and flow regimes. The fluids involved can be compressible or incompressible, linear or nonlinear. Because of the complexity of the problem, it is often essential to utilize advanced computational and experimental methods to solve the complex equations that describe them. Challenges in these simulations include nonlinear fluids, treating drop breakup and coalescence, characterizing phase structures, and many others.This volume brings together work presented at the Fourth International Conference on Computational and Experimental Methods in Multiphase and Complex Flows. Featured topics include: Suspensions; Bubble and Drop Dynamics; Flow in Porous Media; Interfaces; Turbulent Flow; Injectors and Nozzles; Particle Image Velocimetry; Macroscale Constitutive Models; Large Eddy Simulation; Finite Volumes; Interface Tracking Methods; Biological Flows; Environmental Multiphase Flow; Phase Changes and Stochastic Modelling.

Mathematical Fluid Mechanics

Mathematical Fluid Mechanics PDF Author: B. Mahanthesh
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110696088
Category : Technology & Engineering
Languages : en
Pages : 263

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Book Description
This book aims to include various significant research topics of mathematical fluid mechanics having relevance or applications in engineering and applied sciences, covering the tools and techniques used for developing mathematical methods and modelling related to real-life situations.