Micropolar Fluids

Name: We Took Pains To Make The Presentation Both Clear And Uniform. :- Media
Brand: Springer Nature
SKU: CBAH-136369
Price: 71.50 GBP
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About The 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. The model of micropolar fluids introduced in [65] by C

We took pains to make the presentation both clear and uniform. 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. Micropolar fluids are fluids with microstructure. A. 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, manÂ ageable to both mathematicians who study its theory and physicists and engineers who apply it. The model of micropolar fluids introduced in [65] by C. 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. Eringen is worth studying as a very well balanced one. 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.

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Micropolar Fluids

Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.

Topics and Features: * all chapters use interdisciplinary modeling perspective for investigating heterogeneous media*Five chapters provide self-contained discussions, with background provided*Focuses only upon most important techniques and models, fully exploring micro-macro interconnections*extensive introductory survey chapter on micromechanics of heterogeneous media*microstructure characterization via statistical correlation functions*micro-scale deformation of pore space*wave fields and effective dynamical properties*modeling of the complex production technologies for composite materials The book is ideal for a general scientific and engineering audience needing an in-depth view and guide to current ideas, methods and

Books > Engineering

Specifications of Micropolar Fluids
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Compartmental Modeling with Networks

These courses included varÂ ious mathematical topics such as Markov chains, differential equations, linear programming, optimization, and probability.But they concentrate on very specific problems and rely on previous formulations of similar problems. " Courses in the subject became a widespread if not standard part of the undergraduate mathematics curriculum.

Within this framework, one has an evolution equation and the reÂ lated mathematical problems obtained by adding all necessary conditions for their solution.

. Indeed, once the evolution equation is proposed, one has to deal with mathematical problems and develop suitable simulaÂ tions to provide the description of the real system according to the model. The information obtained by the model has to be compared with those deriving from the experimental observation of the real system. Asymptotic analysis may include a detailed description of stability properties.

The work is also a useful reference for researchers and practitioners working with optimal control theory in the above areas.

Combining two important and growing areas of applied mathematicsâcontrol theory and modelingâthis textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences..

Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.

Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetic-theory modeling process..

In addition, various interesting physical phenomena derived from the asymptotic theory are explained.

The background of the asymptotic studies is explained in Chapter 1, accordÂ ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes).

Topics and Features: * all chapters use interdisciplinary modeling perspective for investigating heterogeneous mediaFive chapters provide self-contained discussions, with background providedFocuses only upon most important techniques and models, fully exploring micro-macro interconnectionsextensive introductory survey chapter on micromechanics of heterogeneous mediamicrostructure characterization via statistical correlation functionsmicro-scale deformation of pore spacewave fields and effective dynamical properties*modeling of the complex production technologies for composite materials The book is ideal for a general scientific and engineering audience needing an in-depth view and guide to current ideas, methods and

This internal structure, or microstructure, plays a key role in understanding and controlling the continuum behavior, or macroscopic, of a wide variety of materials.

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.

Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.

Numerical Methods in Sensitivity Analysis and Shape Optimization.

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.

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.Moreover, it is elegant and not too complicated, in other words, manÂ ageable to both mathematicians who study its theory and physicists and engineers who apply it.

Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.

This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. Numerical Methods in Sensitivity Analysis and Shape Optimization.

Micropolar Fluids

Books > Engineering

Specifications of Micropolar Fluids

Compartmental Modeling with Networks

Within this framework, one has an evolution equation and the reÂ­ lated mathematical problems obtained by adding all necessary conditions for their solution.

The work is also a useful reference for researchers and practitioners working with optimal control theory in the above areas.

Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.

In addition, various interesting physical phenomena derived from the asymptotic theory are explained.

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.

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.

Within this framework, one has an evolution equation and the reÂ lated mathematical problems obtained by adding all necessary conditions for their solution.