Mathematical Methods In Nonlinear Heat Transfer
Author: Davood Domairry Ganji
Publisher: Xlibris Corporation
Published: 2010-11-19
Total Pages: 55
ISBN-13: 1456808303
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Nonlinear Systems in Heat Transfer
Author: Davood Domairry Ganji
Publisher: Elsevier
Published: 2017-09-15
Total Pages: 288
ISBN-13: 0128120207
DOWNLOAD EBOOK →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 Conduction
Author: Liqiu Wang
Publisher: Springer Science & Business Media
Published: 2007-12-20
Total Pages: 524
ISBN-13: 3540743030
DOWNLOAD EBOOK →Many phenomena in social, natural and engineering fields are governed by wave, potential, parabolic heat-conduction, hyperbolic heat-conduction and dual-phase-lagging heat-conduction equations. This monograph examines these equations: their solution structures, methods of finding their solutions under various supplementary conditions, as well as the physical implication and applications of their solutions.
Mathematics of Heat Transfer
Author: G. E. Tupholme
Publisher: Clarendon Press/Institute of Mathematics and its Applications
Published: 1998-07-09
Total Pages: 361
ISBN-13: 0191590908
DOWNLOAD EBOOK →During this century, as no other, the two themes of mathematics and heat transfer have become inextricably intertwined, and it was with this underlying sentiment that this volume was conceived. It includes contributions from fifteen countries throughout the world, covering various problems in heat transfer. The contributors work in diverse fields and include mathematicians, theoretical engineers, experimentalists and industrialists.
Fluid Mechanics and Heat Transfer
Author: Kaveh Hariri Asli
Publisher: CRC Press
Published: 2015-06-10
Total Pages: 246
ISBN-13: 1498707696
DOWNLOAD EBOOK →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 techn
Boundary Value Problems of Heat Conduction
Author: M. Necati Ozisik
Publisher: Courier Corporation
Published: 2013-11-26
Total Pages: 515
ISBN-13: 0486782867
DOWNLOAD EBOOK →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.
Finite Difference Methods in Heat Transfer
Author: M. Necati Özişik
Publisher: CRC Press
Published: 2017-07-12
Total Pages: 361
ISBN-13: 1351686992
DOWNLOAD EBOOK →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.
An Introduction to Linear and Nonlinear Finite Element Analysis
Author: Prem Kythe
Publisher: Springer Science & Business Media
Published: 2011-06-27
Total Pages: 461
ISBN-13: 0817681604
DOWNLOAD EBOOK →Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.
Nonlinear Problems of Engineering
Author: William F. Ames
Publisher: Academic Press
Published: 2014-05-12
Total Pages: 267
ISBN-13: 148322581X
DOWNLOAD EBOOK →Nonlinear Problems of Engineering reviews certain nonlinear problems of engineering. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena. Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming. This text then explores nonlinear integral equations, which have long occupied a prominent place in mathematical analysis. Other chapters consider the phenomena associated with essentially divergent small-divisor series, such as may occur in the formal solution of differential equations that represent the oscillations of conservative dynamical systems. This book discusses as well the mechanics of idealized textiles consisting of inextensible filaments. The final chapter deals with the use of the Peaceman–Rachford alternating direction implicit method for solving the finite difference analogs of boundary value problems. This book is a valuable resource for engineers and mathematicians.
Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer
Author: Ganji, Davood Domiri
Publisher: IGI Global
Published: 2017-07-26
Total Pages: 275
ISBN-13: 1522527141
DOWNLOAD EBOOK →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.
