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Author : Davood Domairry Ganji,Davood Domairry Ganji & Ehsan Mohseni Languri
Publisher : Xlibris Corporation
Page : 55 pages
File Size : 47,8 Mb
Release : 2010-11-19
Category : Technology & Engineering
ISBN : 9781456808303
Author : Davood Domairry Ganji,Yaser Sabzehmeidani,Amin Sedighiamiri
Publisher : Elsevier
Page : 288 pages
File Size : 43,8 Mb
Release : 2017-09-15
Category : Science
ISBN : 9780128120200
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
Author : Liqiu Wang,Xuesheng Zhou,Xiaohao Wei
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 42,8 Mb
Release : 2007-12-20
Category : Science
ISBN : 9783540743033
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.
Author : G. E. Tupholme,A. S. Wood
Publisher : Clarendon Press/Institute of Mathematics and its Applications
Page : 361 pages
File Size : 45,9 Mb
Release : 1998-07-09
Category : Electronic
ISBN : 9780191590900
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.
Author : Kaveh Hariri Asli,Soltan Ali Ogli Aliyev
Publisher : CRC Press
Page : 250 pages
File Size : 49,9 Mb
Release : 2015-06-10
Category : Science
ISBN : 9781498707695
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.
Author : M. Necati Özişik
Publisher : CRC Press
Page : 361 pages
File Size : 43,7 Mb
Release : 2017-07-12
Category : Science
ISBN : 9781351686990
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.
Author : Prem Kythe,Dongming Wei
Publisher : Springer Science & Business Media
Page : 461 pages
File Size : 40,7 Mb
Release : 2011-06-27
Category : Mathematics
ISBN : 9780817681609
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.
Author : William F. Ames
Publisher : Academic Press
Page : 267 pages
File Size : 48,5 Mb
Release : 2014-05-12
Category : Science
ISBN : 9781483225814
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.
Author : M. Necati Ozisik
Publisher : Courier Corporation
Page : 515 pages
File Size : 47,7 Mb
Release : 2013-11-26
Category : Technology & Engineering
ISBN : 9780486782867
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.
Author : Ganji, Davood Domiri,Talarposhti, Roghayeh Abbasi
Publisher : IGI Global
Page : 275 pages
File Size : 48,6 Mb
Release : 2017-07-26
Category : Technology & Engineering
ISBN : 9781522527145
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.
Author : Kuppalapalle Vajravelu,Robert A. Van Gorder
Publisher : Springer Science & Business Media
Page : 197 pages
File Size : 43,6 Mb
Release : 2013-07-22
Category : Mathematics
ISBN : 9783642321023
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.
Author : Vyacheslav Vikhrenko
Publisher : BoD – Books on Demand
Page : 366 pages
File Size : 40,6 Mb
Release : 2011-11-30
Category : Technology & Engineering
ISBN : 9789533074047
The content of this book covers several up-to-date approaches in the heat conduction theory such as inverse heat conduction problems, non-linear and non-classic heat conduction equations, coupled thermal and electromagnetic or mechanical effects and numerical methods for solving heat conduction equations as well. The book is comprised of 14 chapters divided into four sections. In the first section inverse heat conduction problems are discuss. The first two chapters of the second section are devoted to construction of analytical solutions of nonlinear heat conduction problems. In the last two chapters of this section wavelike solutions are attained.The third section is devoted to combined effects of heat conduction and electromagnetic interactions in plasmas or in pyroelectric material elastic deformations and hydrodynamics. Two chapters in the last section are dedicated to numerical methods for solving heat conduction problems.
Author : A. A. Samarskii,P. N. Vabishchevich
Publisher : Unknown
Page : 432 pages
File Size : 50,5 Mb
Release : 1995
Category : Science
ISBN : UIUC:30112000191442
This book, which is published in two volumes, studies heat transfer problems by modern numerical methods. Basic mathematical models of heat transfer are considered. The main approaches to the analysis of the models by traditional means of applied mathematics are described. Numerical methods for the approximate solution of steady and unsteady-state heat conduction problems are discussed. Investigation of difference schemes is based on the general stability theory. Much emphasis is put on problems in which phase transitions are involved and on heat and mass transfer problems. Problems of controlling and optimizing heat processes are discussed in detail. These processes are described by partial differential equations, and the main approaches to numerical solution of the optimal control problems involved here are discussed. Aspects of numerical solution of inverse heat exchange problems are considered. Much attention is paid to the most important applied problems of identifying coefficients and boundary conditions for a heat transfer equation. This first volume considers the mathematical models of heat transfer, classic analytical solution methods for heat conduction problems, numerical methods for steady-state and transient heat conduction problems, and phase change problems. The second volume presents solution techniques for complicated heat transfer problems (radiation, convection, thermoelasticity, thermal process control and inverse problems) as well as some examples of solving particular heat transfer problems.
Author : Tien Mo Shih
Publisher : CRC Press
Page : 588 pages
File Size : 46,5 Mb
Release : 1984-06-01
Category : Science
ISBN : 0891169199
Author : Jan Taler,Piotr Duda
Publisher : Springer Science & Business Media
Page : 890 pages
File Size : 42,7 Mb
Release : 2010-04-16
Category : Science
ISBN : 9783540334712
This book presents a solution for direct and inverse heat conduction problems, discussing the theoretical basis for the heat transfer process and presenting selected theoretical and numerical problems in the form of exercises with solutions. The book covers one-, two- and three dimensional problems which are solved by using exact and approximate analytical methods and numerical methods. An accompanying CD-Rom includes computational solutions of the examples and extensive FORTRAN code.