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Nonlinear Systems In Heat Transfer

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Nonlinear Systems in Heat Transfer

Nonlinear Systems in Heat Transfer Book
Author : Davood Domairry Ganji,Yaser Sabzehmeidani,Amin Sedighiamiri
Publisher : Elsevier
Release : 2017-09-15
ISBN : 0128120207
Language : En, Es, Fr & De

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Book Description :

Nonlinear Heat Transfer: Mathematical Modeling and Analytical Methods addresses recent progress and original research in nonlinear science and its application in the area of heat transfer, with a particular focus on the most important advances and challenging applications. The importance of understanding analytical methods for solving linear and nonlinear constitutive equations is essential in studying engineering problems. This book provides a comprehensive range of (partial) differential equations, applied in the field of heat transfer, tackling a comprehensive range of nonlinear mathematical problems in heat radiation, heat conduction, heat convection, heat diffusion and non-Newtonian fluid systems. Providing various innovative analytical techniques and their practical application in nonlinear engineering problems is the unique point of this book. Drawing a balance between theory and practice, the different chapters of the book focus not only on the broader linear and nonlinear problems, but also applied examples of practical solutions by the outlined methodologies. Demonstrates applied mathematical techniques in the engineering applications, especially in nonlinear phenomena Exhibits a complete understanding of analytical methods and nonlinear differential equations in heat transfer Provides the tools to model and interpret applicable methods in heat transfer processes or systems to solve related complexities

Heat Transfer in Graphene and Anisotropic Nonlinear Systems

Heat Transfer in Graphene and Anisotropic Nonlinear Systems Book
Author : Zhen Chen
Publisher : Unknown
Release : 2014
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Various modern devices involve highly anisotropic materials. For example, Bi2Te3 is used in thermoelectrics, and graphene finds broad applications ranging from microelectronics to optoelectronics. The heat transfer in these materials can deviate significantly from classical isotropic transport theory. Nonlinear thermal devices have also drawn a great deal of attention for such applications as thermal regulation of building envelopes, and thermal protection of delicate components in electrical hardware, spacecraft thermal shielding, and satellite radiators. In this thesis, heat transfer in nonlinear devices and anisotropic materials, in particular graphene, is investigated using both experimental and theoretical methods. Measurements on graphene sheets encased by silicon dioxide layers show the strong effect of the encasing oxide in disrupting the thermal conductivity of adjacent graphene layers, leading to more than one order of magnitude suppression as compared to the freely-suspended graphene experiment reported in literature. Modeling thermal properties of anisotropic materials reveals an unexpected guideline to engineer heat transport: due to phonon focusing effects, in many cases the heat transfer can be enhanced by reducing a phonon velocity component perpendicular to the transport direction. Finally, a nonlinear thermal diode, based on a new mechanism exploiting asymmetric scattering of ballistic energy carriers by pyramidal reflectors, is demonstrated experimentally. Experiments underline that all thermal rectifiers require nonlinearity in addition to asymmetry.

Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer

Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer Book
Author : Ganji, Davood Domiri,Talarposhti, Roghayeh Abbasi
Publisher : IGI Global
Release : 2017-07-26
ISBN : 1522527141
Language : En, Es, Fr & De

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Book Description :

Engineering applications offer benefits and opportunities across a range of different industries and fields. By developing effective methods of analysis, results and solutions are produced with higher accuracy. Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer is an innovative source of academic research on the optimized techniques for analyzing heat transfer equations and the application of these methods across various fields. Highlighting pertinent topics such as the differential transformation method, industrial applications, and the homotopy perturbation method, this book is ideally designed for engineers, researchers, graduate students, professionals, and academics interested in applying new mathematical techniques in engineering sciences.

Application of Nonlinear Systems in Nanomechanics and Nanofluids

Application of Nonlinear Systems in Nanomechanics and Nanofluids Book
Author : Davood Domairry Ganji,Sayyid Habibollah Hashemi Kachapi
Publisher : William Andrew
Release : 2015-03-19
ISBN : 0323353819
Language : En, Es, Fr & De

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Book Description :

With Application of Nonlinear Systems in Nanomechanics and Nanofluids the reader gains a deep and practice-oriented understanding of nonlinear systems within areas of nanotechnology application as well as the necessary knowledge enabling the handling of such systems. The book helps readers understand relevant methods and techniques for solving nonlinear problems, and is an invaluable reference for researchers, professionals and PhD students interested in research areas and industries where nanofluidics and dynamic nano-mechanical systems are studied or applied. The book is useful in areas such as nanoelectronics and bionanotechnology, and the underlying framework can also be applied to other problems in various fields of engineering and applied sciences. Provides comprehensive coverage of nano-dynamical systems and their specialized processes and applications in the context of nonlinear differential equations and analytical methods Enables researchers and engineers to better model, interpret and control nanofluidics and other nano-dynamical systems and their application processes Explains nano-dynamical systems by means of describing ‘real-life’ application case studies

Localization and Energy Transfer in Nonlinear Systems

Localization and Energy Transfer in Nonlinear Systems Book
Author : Luis Vázquez,Robert S MacKay,María Paz Zorzano
Publisher : World Scientific
Release : 2003-05-22
ISBN : 9814486515
Language : En, Es, Fr & De

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Book Description :

This conference was the third meeting organized in the framework of the European LOCNET project. The main topics discussed by this international research collaboration were localization by nonlinearity and spatial discreteness, and energy transfer (in crystals, biomolecules and Josephson arrays). Contents:The Discrete Nonlinear Schrödinger Equation — 20 Years on (J C Eilbeck & M Johansson)Breathers and Conformational Transitions in Molecular Crystals (M Barthes)Some Exact Results for Quantum Lattice Problems (J C Eilbeck)Isochronous Potentials (S Bolotin & R S Mackay)Dynamics of Discrete Breathers in Flexible Chains (J M Sancho et al.)Interaction of Moving Breathers with an Impurity (J Cuevas et al.)Quantum Targeted Energy Transfer (P Maniadis et al.)Spontaneous Pattern Retrieval in a Neural Network (M-P Zorzano)Discrete Breathers in 2D Josephson Arrays (J J Mazo)Fluxon Ratchet Potentials (J J Mazo et al.)and other papers Readership: Researchers, academics and graduate students in the fields of new materials, analysis & differential equations, numerical & computational mathematics, stochastic theory, theoretical physics, statistical physics, semiconductors and mathematical biology. Keywords:Nonlinearity;Spatial Discreteness;Energy Transfer;Crystals;Biomolecules;Josephson Array;Localization

Dynamics of Nonlinear Systems

Dynamics of Nonlinear Systems Book
Author : Vladimír Hlaváček (Ing.)
Publisher : CRC Press
Release : 1986
ISBN : 9782881241116
Language : En, Es, Fr & De

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Book Description :

Download Dynamics of Nonlinear Systems book written by Vladimír Hlaváček (Ing.), available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Nonlinear Systems and Their Remarkable Mathematical Structures

Nonlinear Systems and Their Remarkable Mathematical Structures Book
Author : Norbert Euler,Maria Clara Nucci
Publisher : CRC Press
Release : 2019-12-06
ISBN : 0429554303
Language : En, Es, Fr & De

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Book Description :

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics

Nonlinear Systems of Partial Differential Equations in Applied Mathematics

Nonlinear Systems of Partial Differential Equations in Applied Mathematics Book
Author : Basil Nicolaenko,Darryl D. Holm,James M. Hyman,American Mathematical Society
Publisher : American Mathematical Soc.
Release : 1986-12-31
ISBN : 9780821896907
Language : En, Es, Fr & De

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Book Description :

These two volumes of 47 papers focus on the increased interplay of theoretical advances in nonlinear hyperbolic systems, completely integrable systems, and evolutionary systems of nonlinear partial differential equations. The papers both survey recent results and indicate future research trends in these vital and rapidly developing branches of PDEs. The editor has grouped the papers loosely into the following five sections: integrable systems, hyperbolic systems, variational problems, evolutionary systems, and dispersive systems. However, the variety of the subjects discussed as well as their many interwoven trends demonstrate that it is through interactive advances that such rapid progress has occurred. These papers require a good background in partial differential equations. Many of the contributors are mathematical physicists, and the papers are addressed to mathematical physicists (particularly in perturbed integrable systems), as well as to PDE specialists and applied mathematicians in general.

Finite Difference Methods in Heat Transfer

Finite Difference Methods in Heat Transfer Book
Author : M. Necati Özişik,Helcio R. B. Orlande,Marcelo J. Colaço,Renato M. Cotta
Publisher : CRC Press
Release : 2017-07-20
ISBN : 1482243466
Language : En, Es, Fr & De

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Book Description :

Finite Difference Methods in Heat Transfer, Second Edition focuses on finite difference methods and their application to the solution of heat transfer problems. Such methods are based on the discretization of governing equations, initial and boundary conditions, which then replace a continuous partial differential problem by a system of algebraic equations. Finite difference methods are a versatile tool for scientists and for engineers. This updated book serves university students taking graduate-level coursework in heat transfer, as well as being an important reference for researchers and engineering. Features Provides a self-contained approach in finite difference methods for students and professionals Covers the use of finite difference methods in convective, conductive, and radiative heat transfer Presents numerical solution techniques to elliptic, parabolic, and hyperbolic problems Includes hybrid analytical–numerical approaches

Nonlinear Systems Vol 2

Nonlinear Systems  Vol  2 Book
Author : Juan F. R. Archilla,Faustino Palmero,M. Carmen Lemos,Bernardo Sánchez-Rey,Jesús Casado-Pascual
Publisher : Springer
Release : 2017-12-21
ISBN : 3319722182
Language : En, Es, Fr & De

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Book Description :

This book presents an overview of the most recent advances in nonlinear science. It provides a unified view of nonlinear properties in many different systems and highlights many new developments. While volume 1 concentrates on mathematical theory and computational techniques and challenges, which are essential for the study of nonlinear science, this second volume deals with nonlinear excitations in several fields. These excitations can be localized and transport energy and matter in the form of breathers, solitons, kinks or quodons with very different characteristics, which are discussed in the book. They can also transport electric charge, in which case they are known as polarobreathers or solectrons. Nonlinear excitations can influence function and structure in biology, as for example, protein folding. In crystals and other condensed matter, they can modify transport properties, reaction kinetics and interact with defects. There are also engineering applications in electric lattices, Josephson junction arrays, waveguide arrays, photonic crystals and optical fibers. Nonlinear excitations are inherent to Bose-Einstein Condensates, constituting an excellent benchmark for testing their properties and providing a pathway for future discoveries in fundamental physics.

Fault Detection and Diagnosis in Nonlinear Systems

Fault Detection and Diagnosis in Nonlinear Systems Book
Author : Rafael Martinez-Guerra,Juan Luis Mata-Machuca
Publisher : Springer
Release : 2013-11-19
ISBN : 3319030477
Language : En, Es, Fr & De

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Book Description :

The high reliability required in industrial processes has created the necessity of detecting abnormal conditions, called faults, while processes are operating. The term fault generically refers to any type of process degradation, or degradation in equipment performance because of changes in the process's physical characteristics, process inputs or environmental conditions. This book is about the fundamentals of fault detection and diagnosis in a variety of nonlinear systems which are represented by ordinary differential equations. The fault detection problem is approached from a differential algebraic viewpoint, using residual generators based upon high-gain nonlinear auxiliary systems (‘observers’). A prominent role is played by the type of mathematical tools that will be used, requiring knowledge of differential algebra and differential equations. Specific theorems tailored to the needs of the problem-solving procedures are developed and proved. Applications to real-world problems, both with constant and time-varying faults, are made throughout the book and include electromechanical positioning systems, the Continuous Stirred Tank Reactor (CSTR), bioreactor models and belt drive systems, to name but a few.

Heat Transfer Soviet Research

Heat Transfer  Soviet Research Book
Author : Anonim
Publisher : Unknown
Release : 1971
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Heat Transfer Soviet Research book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Deterministic Nonlinear Systems

Deterministic Nonlinear Systems Book
Author : Vadim S. Anishchenko,Tatyana E. Vadivasova,Galina I. Strelkova
Publisher : Springer
Release : 2014-06-16
ISBN : 3319068717
Language : En, Es, Fr & De

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Book Description :

This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research.

Advanced Analytic and Control Techniques for Thermal Systems with Heat Exchangers

Advanced Analytic and Control Techniques for Thermal Systems with Heat Exchangers Book
Author : Libor Pekar
Publisher : Academic Press
Release : 2020-07-10
ISBN : 0128194235
Language : En, Es, Fr & De

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Book Description :

Advanced Analytic Control Techniques for Thermal Systems with Heat Exchangers presents the latest research on sophisticated analytic and control techniques specific for Heat Exchangers (HXs) and heat Exchanger Networks (HXNs), such as Stability Analysis, Efficiency of HXs, Fouling Effect, Delay Phenomenon, Robust Control, Algebraic Control, Geometric Control, Optimal Control, Fuzzy Control and Artificial Intelligence techniques. Editor Libor Pekař and his team of global expert contributors combine their knowledge and experience of investigated and applied systems and processes in this thorough review of the most advanced networks, analyzing their dynamics, efficiency, transient features, physical properties, performance, feasibility, flexibility and controllability. The structural and dynamic analyses and control approaches of HXNs, as well as energy efficient manipulation techniques are discussed, in addition to the design of the control systems through the full life cycle. This equips the reader with an understanding of the relevant theory in a variety of settings and scenarios and the confidence to apply that knowledge to solve problems in an academic or professional setting. Graduate students and early-mid career professionals require a robust understanding of how to suitably design thermal systems with HXs and HXNs to achieve required performance levels, which this book offers in one consolidated reference. All examples and solved problems included have been tried and tested, and these combined with the research driven theory provides professionals, researchers and students with the most recent techniques to maximize the energy efficiency and sustainability of existing and new thermal power systems. Analyses several advanced techniques, the theoretical background of these techniques and includes models, examples and results throughout Focusses on advanced analytic and control techniques which have been investigated or applied to thermal systems with HXs and HXNs. Includes practical applications and advanced ideas from leading experts in the field, as well as case studies and tested problems and solutions.

Analysis and Control of Nonlinear Process Systems

Analysis and Control of Nonlinear Process Systems Book
Author : Katalin M. Hangos,József Bokor,Gábor Szederkényi
Publisher : Springer Science & Business Media
Release : 2006-04-18
ISBN : 185233861X
Language : En, Es, Fr & De

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Book Description :

This straightforward text makes the complicated but powerful methods of non-linear control accessible to process engineers. Not only does it cover the necessary mathematics, but it consistently refers to the widely-known finite-dimensional linear time-invariant continuous case as a basis for extension to the nonlinear situation.

On the Integration of Coupled Nonlinear Equations in Boundary Layer Theory with Specific Reference to Heat Transfer Near the Stagnation Point in Three dimensional Flow

On the Integration of Coupled Nonlinear Equations in Boundary Layer Theory with Specific Reference to Heat Transfer Near the Stagnation Point in Three dimensional Flow Book
Author : A. A. Hayday,D. Bowlus,ARMY MISSILE COMMAND REDSTONE ARSENAL ALA ARPA DIV.
Publisher : Unknown
Release : 1966
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The purpose of this report is to indicate the accuracy of the asymptotic method in solving systems of nonlinear differential equations in contrast to the methods that deal with a single equation. Also, a ready comparison with corresponding numerical solutions is made by considering a general three-dimensional flow of a viscous incompressible fluid in the vicinity of a stagnation point on a regular surface. (Author).

Finite Difference Methods in Heat Transfer

Finite Difference Methods in Heat Transfer Book
Author : Necati Ozisik
Publisher : CRC Press
Release : 1994-04-25
ISBN : 9780849324918
Language : En, Es, Fr & De

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Book Description :

Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications. The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields. Fundamental concepts are introduced in an easy-to-follow manner. Representative examples illustrate the application of a variety of powerful and widely used finite difference techniques. The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions.

Handbook of Nonlinear Partial Differential Equations Second Edition

Handbook of Nonlinear Partial Differential Equations  Second Edition Book
Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : CRC Press
Release : 2016-04-19
ISBN : 142008724X
Language : En, Es, Fr & De

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Book Description :

New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.

Emergent Problems in Nonlinear Systems and Control

Emergent Problems in Nonlinear Systems and Control Book
Author : Bijoy Ghosh,Clyde F. Martin,Yishao Zhou
Publisher : Springer
Release : 2009-10-13
ISBN : 3642036279
Language : En, Es, Fr & De

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Book Description :

Papers in this collection partly represent the set of talks that were presented at Texas Tech University on the occasion of Daya’s memorial workshop in the year 2007. Daya had a varied interest in the field of Dynamics and Control Theory and the papers bring out the essence of his involvement in these activities. He also had a large number of collaborators and this collection represent a good fraction of them. The papers included here cover his interest in control theory. Also included are papers from application areas that we believe are of strong interest to him.