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Nonlinear Systems in Heat Transfer

Nonlinear Systems in Heat Transfer
Mathematical Modeling and Analytical Methods

by Davood Domairry Ganji,Yaser Sabzehmeidani,Amin Sedighiamiri

  • Publisher : Elsevier
  • Release : 2017-09-15
  • Pages : 288
  • ISBN : 0128120207
  • Language : En, Es, Fr & De
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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

Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer

Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer
A Book

by Ganji, Davood Domiri,Talarposhti, Roghayeh Abbasi

  • Publisher : IGI Global
  • Release : 2017-07-26
  • Pages : 275
  • ISBN : 1522527141
  • Language : En, Es, Fr & De
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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.

Dimension Reduction of Large-Scale Systems

Dimension Reduction of Large-Scale Systems
Proceedings of a Workshop held in Oberwolfach, Germany, October 19-25, 2003

by Peter Benner,Volker Mehrmann,Danny C. Sorensen

  • Publisher : Springer Science & Business Media
  • Release : 2006-03-30
  • Pages : 404
  • ISBN : 3540279091
  • Language : En, Es, Fr & De
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In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.

Application of Nonlinear Systems in Nanomechanics and Nanofluids

Application of Nonlinear Systems in Nanomechanics and Nanofluids
Analytical Methods and Applications

by Davood Domairry Ganji,Sayyid Habibollah Hashemi Kachapi

  • Publisher : William Andrew
  • Release : 2015-03-19
  • Pages : 412
  • ISBN : 0323353819
  • Language : En, Es, Fr & De
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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

Fluid Mechanics and Heat Transfer

Fluid Mechanics and Heat Transfer
Advances in Nonlinear Dynamics Modeling

by Kaveh Hariri Asli,Soltan Ali Ogli Aliyev

  • Publisher : CRC Press
  • Release : 2015-06-10
  • Pages : 250
  • ISBN : 1498707696
  • Language : En, Es, Fr & De
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This valuable new book focuses on new methods and techniques in fluid mechanics and heat transfer in mechanical engineering. The book includes the research of the authors on the development of optimal mathematical models and also uses modern computer technology and mathematical methods for the analysis of nonlinear dynamic processes. It covers technologies applicable to both fluid mechanics and heat transfer problems, which include a combination of physical, mechanical, and thermal techniques. The authors develop a new method for the calculation of mathematical models by computer technology, using parametric modeling techniques and multiple analyses for mechanical system. The information in this book is intended to help reduce the risk of system damage or failure. Included are sidebar discussions, which contain information and facts about each subject area that help to emphasize important points to remember.

NASA Thesaurus

NASA Thesaurus
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1998
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Application of Nonlinear Systems in Nanomechanics and Nanofluids

Application of Nonlinear Systems in Nanomechanics and Nanofluids
Analytical Methods and Applications

by Davood Domairry Ganji,Sayyid Habibollah Hashemi Kachapi

  • Publisher : William Andrew
  • Release : 2015-03-19
  • Pages : 412
  • ISBN : 0323353819
  • Language : En, Es, Fr & De
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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

Nonlinear Systems: Dynamics and control

Nonlinear Systems: Dynamics and control
A Book

by Ronald R. Mohler

  • Publisher : Unknown Publisher
  • Release : 1991
  • Pages : 257
  • ISBN : 9780136234890
  • Language : En, Es, Fr & De
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Describes the applications of nonlinear systems and control in engineering and other fields, drawing upon examples from robotics, power generation, chemical plants, space propulsion/vehicle control and considering mathematical modelling principles as the basis for nonlinear systems and control.

Heat Transfer

Heat Transfer
A Problem Solving Approach

by Tariq Muneer,Jorge Kubie,Thomas Grassie,Grassie Thomas

  • Publisher : Taylor & Francis
  • Release : 2003
  • Pages : 353
  • ISBN : 9780415241694
  • Language : En, Es, Fr & De
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CD-ROM contains: Excel workbooks for examples and problems -- Software tool for thermodynamic properties.

Heat Conduction

Heat Conduction
A Book

by Latif M. Jiji

  • Publisher : Springer Science & Business Media
  • Release : 2009-07-09
  • Pages : 418
  • ISBN : 9783642012679
  • Language : En, Es, Fr & De
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This book is designed to: Provide students with the tools to model, analyze and solve a wide range of engineering applications involving conduction heat transfer. Introduce students to three topics not commonly covered in conduction heat transfer textbooks: perturbation methods, heat transfer in living tissue, and microscale conduction. Take advantage of the mathematical simplicity of o- dimensional conduction to present and explore a variety of physical situations that are of practical interest. Present textbook material in an efficient and concise manner to be covered in its entirety in a one semester graduate course. Drill students in a systematic problem solving methodology with emphasis on thought process, logic, reasoning and verification. To accomplish these objectives requires judgment and balance in the selection of topics and the level of details. Mathematical techniques are presented in simplified fashion to be used as tools in obtaining solutions. Examples are carefully selected to illustrate the application of principles and the construction of solutions. Solutions follow an orderly approach which is used in all examples. To provide consistency in solutions logic, I have prepared solutions to all problems included in the first ten chapters myself. Instructors are urged to make them available electronically rather than posting them or presenting them in class in an abridged form.

Fault Detection and Diagnosis in Nonlinear Systems

Fault Detection and Diagnosis in Nonlinear Systems
A Differential and Algebraic Viewpoint

by Rafael Martinez-Guerra,Juan Luis Mata-Machuca

  • Publisher : Springer
  • Release : 2013-11-19
  • Pages : 128
  • ISBN : 3319030477
  • Language : En, Es, Fr & De
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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.

Analytical Methods for Heat Transfer and Fluid Flow Problems

Analytical Methods for Heat Transfer and Fluid Flow Problems
A Book

by Bernhard Weigand

  • Publisher : Springer
  • Release : 2015-05-05
  • Pages : 310
  • ISBN : 3662465930
  • Language : En, Es, Fr & De
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This book describes useful analytical methods by applying them to real-world problems rather than solving the usual over-simplified classroom problems. The book demonstrates the applicability of analytical methods even for complex problems and guides the reader to a more intuitive understanding of approaches and solutions. Although the solution of Partial Differential Equations by numerical methods is the standard practice in industries, analytical methods are still important for the critical assessment of results derived from advanced computer simulations and the improvement of the underlying numerical techniques. Literature devoted to analytical methods, however, often focuses on theoretical and mathematical aspects and is therefore useless to most engineers. Analytical Methods for Heat Transfer and Fluid Flow Problems addresses engineers and engineering students. The second edition has been updated, the chapters on non-linear problems and on axial heat conduction problems were extended. And worked out examples were included.

Finite Difference Methods in Heat Transfer

Finite Difference Methods in Heat Transfer
A Book

by Necati Ozisik

  • Publisher : CRC Press
  • Release : 1994-04-25
  • Pages : 432
  • ISBN : 9780849324918
  • Language : En, Es, Fr & De
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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.

Nonlinear Flow Phenomena and Homotopy Analysis

Nonlinear Flow Phenomena and Homotopy Analysis
Fluid Flow and Heat Transfer

by Kuppalapalle Vajravelu,Robert A. Van Gorder

  • Publisher : Springer Science & Business Media
  • Release : 2013-07-22
  • Pages : 190
  • ISBN : 364232102X
  • Language : En, Es, Fr & De
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Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems and often fail when used for problems with strong nonlinearity. “Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer” presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering. Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA.

Heat Transfer: Soviet Research

Heat Transfer: Soviet Research
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1972
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nonlinear System Identification

Nonlinear System Identification
From Classical Approaches to Neural Networks and Fuzzy Models

by Oliver Nelles

  • Publisher : Springer Science & Business Media
  • Release : 2001
  • Pages : 785
  • ISBN : 9783540673699
  • Language : En, Es, Fr & De
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Written from an engineering point of view, this book covers the most common and important approaches for the identification of nonlinear static and dynamic systems. The book also provides the reader with the necessary background on optimization techniques, making it fully self-contained. The new edition includes exercises.

Modern Nonlinear Equations

Modern Nonlinear Equations
A Book

by Thomas L. Saaty

  • Publisher : Courier Corporation
  • Release : 2012-04-26
  • Pages : 496
  • ISBN : 0486143767
  • Language : En, Es, Fr & De
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Covers major types of classical equations: operator, functional, difference, integro-differential, and more. Suitable for graduate students as well as scientists, technologists, and mathematicians. "A welcome contribution." — Math Reviews. 1964 edition.

The Design of Controllers for Nonlinear Systems Via Bifurcation Techniques

The Design of Controllers for Nonlinear Systems Via Bifurcation Techniques
A Book

by Nolan Keever Read

  • Publisher : Unknown Publisher
  • Release : 1994
  • Pages : 734
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Boundary Value Problems of Heat Conduction

Boundary Value Problems of Heat Conduction
A Book

by M. Necati Ozisik

  • Publisher : Courier Corporation
  • Release : 2013-11-26
  • Pages : 512
  • ISBN : 0486782867
  • Language : En, Es, Fr & De
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Intended for first-year graduate courses in heat transfer, this volume includes topics relevant to chemical and nuclear engineering and aerospace engineering. The systematic and comprehensive treatment employs modern mathematical methods of solving problems in heat conduction and diffusion. Starting with precise coverage of heat flux as a vector, derivation of the conduction equations, integral-transform technique, and coordinate transformations, the text advances to problem characteristics peculiar to Cartesian, cylindrical, and spherical coordinates; application of Duhamel's method; solution of heat-conduction problems; and the integral method of solution of nonlinear conduction problems. Additional topics include useful transformations in the solution of nonlinear boundary value problems of heat conduction; numerical techniques such as the finite differences and the Monte Carlo method; and anisotropic solids in relation to resistivity and conductivity tensors. Illustrative examples and problems amplify the text, which is supplemented by helpful appendixes.

IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty

IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty
Proceedings of the IUTAM Symposium held in Nanjing, China, September 18-22, 2006

by H.Y. Hu,E. Kreuzer

  • Publisher : Springer Science & Business Media
  • Release : 2007-08-26
  • Pages : 395
  • ISBN : 1402063326
  • Language : En, Es, Fr & De
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This is a state-of-the-art treatise on the problems of both nonlinearity and uncertainty in the dynamics and control of engineering systems. The concept of dynamics and control implies the combination of dynamic analysis and control synthesis. It is essential to gain insight into the dynamics of a nonlinear system with uncertainty if any new control strategy is designed to utilize nonlinearity.