Nonlinear Systems in Heat Transfer

Nonlinear Systems in Heat Transfer PDF Author: Davood Domairry Ganji
Publisher: Elsevier
ISBN: 0128120207
Category : Science
Languages : en
Pages : 289

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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

Nonlinear Systems in Heat Transfer

Nonlinear Systems in Heat Transfer PDF Author: Davood Domairry Ganji
Publisher: Elsevier
ISBN: 0128120207
Category : Science
Languages : en
Pages : 289

Get Book Here

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

Dimension Reduction of Large-Scale Systems

Dimension Reduction of Large-Scale Systems PDF Author: Peter Benner
Publisher: Springer Science & Business Media
ISBN: 3540279091
Category : Technology & Engineering
Languages : en
Pages : 397

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Book Description
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.

Nonlinear Flow Phenomena and Homotopy Analysis

Nonlinear Flow Phenomena and Homotopy Analysis PDF Author: Kuppalapalle Vajravelu
Publisher: Springer Science & Business Media
ISBN: 364232102X
Category : Mathematics
Languages : en
Pages : 197

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Book Description
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.

Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer

Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer PDF Author: Ganji, Davood Domiri
Publisher: IGI Global
ISBN: 1522527141
Category : Technology & Engineering
Languages : en
Pages : 283

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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.

Advances in Heat Transfer

Advances in Heat Transfer PDF Author:
Publisher: Academic Press
ISBN: 0080575846
Category : Technology & Engineering
Languages : en
Pages : 467

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Book Description
Advances in Heat Transfer

Impact of Thermal Conductivity on Energy Technologies

Impact of Thermal Conductivity on Energy Technologies PDF Author: Aamir Shahzad
Publisher: BoD – Books on Demand
ISBN: 178923672X
Category : Technology & Engineering
Languages : en
Pages : 210

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Book Description
This book is intended to provide a deep understanding on the advanced treatments of thermal properties of materials through experimental, theoretical, and computational techniques. This area of interest is being taught in most universities and institutions at the graduate and postgraduate levels. Moreover, the increasing modern technical and social interest in energy has made the study of thermal properties more significant and exciting in the recent years. This book shares with the international community a sense of global motivation and collaboration on the subject of thermal conductivity and its wide spread applications in modern technologies. This book presents new results from leading laboratories and researchers on topics including materials, thermal insulation, modeling, steady and transient measurements, and thermal expansion. The materials of interest range from nanometers to meters, bringing together ideas and results from across the research field.

Boundary Value Problems of Heat Conduction

Boundary Value Problems of Heat Conduction PDF Author: M. Necati Ozisik
Publisher: Courier Corporation
ISBN: 0486782867
Category : Technology & Engineering
Languages : en
Pages : 515

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Book Description
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.

Inverse Heat Transfer

Inverse Heat Transfer PDF Author: M. Necat Ozisik
Publisher: Routledge
ISBN: 1351436406
Category : Science
Languages : en
Pages : 349

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Book Description
This book introduces the fundamental concepts of inverse heat transfer problems. It presents in detail the basic steps of four techniques of inverse heat transfer protocol, as a parameter estimation approach and as a function estimation approach. These techniques are then applied to the solution of the problems of practical engineering interest involving conduction, convection, and radiation. The text also introduces a formulation based on generalized coordinates for the solution of inverse heat conduction problems in two-dimensional regions.

Variational Principles in Heat Transfer

Variational Principles in Heat Transfer PDF Author: Maurice Anthony Biot
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 208

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Book Description
The book develops a variational treatment of heat transfer which includes heat conduction and convection. It is intended to provide the foundation of a unified analysis of irreversible processes by methods analogous to those of classical mechanics. This opens the way to a formulation of heat transfer and dissipative phenomena in complex systems by means of Lagrangian-type equations and generalized coordinates. At the same time this approach suggests many approximate procedures and drastic simplifications applicable to the practical solution of a large category of problems in physics and technology. (Author).

Proceedings of the 4th European Conference, Elliptic and Parabolic Problems

Proceedings of the 4th European Conference, Elliptic and Parabolic Problems PDF Author: Josef Bemelmans
Publisher: World Scientific
ISBN: 9789812380456
Category : Mathematics
Languages : en
Pages : 508

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Book Description
This book provides an overview of the state of the art in important subjects, including ? besides elliptic and parabolic issues ? geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.