Boundary Value Problems Of Heat Conduction
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Boundary Value Problems Of Heat Conduction
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Author : M. Necati Ozisik
language : en
Publisher: Courier Corporation
Release Date : 2013-11-26
Boundary Value Problems Of Heat Conduction written by M. Necati Ozisik and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-26 with Technology & Engineering categories.
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.
Boundary Value Problems Of Heat Conduction
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Author : M. Necati Özışık
language : en
Publisher: Courier Corporation
Release Date : 1989-01-01
Boundary Value Problems Of Heat Conduction written by M. Necati Özışık and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Technology & Engineering categories.
Intended for graduate courses in heat transfer, this volume includes topics relevant to aerospace, chemical, and nuclear engineering. Systematic, comprehensive treatment employs modern methods of solving problems in heat conduction and diffusion. 1968 edition.
Boundary Element Methods In Heat Transfer
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Author : Wrobel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boundary Element Methods In Heat Transfer written by Wrobel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Heat transfer problems in industry are usually of a very complex nature, simultaneously involving different transfer modes such as conduction, convection, radiation and others. Because of this, very few problems can be solved analytically and one generally has to resort to numerical analysis. The boundary element method is a numerical technique which has been receiving growing attention for solving heat transfer problems because of its unique ability to confine the discretization process to the boundaries of the problem region. This allows major reductions in the data preparation and computer effort necessary to solve complex industrial problems. The purpose of this book is to present efficient algorithms used in conjunction with the boundary element method for the solution of steady and transient, linear and non-linear heat transfer problems. It represents the state-of-the-art of boundary element applications in the field of heat transfer, and constitutes essential reading for researchers and practising engineers involved with this important topic.
Boundary Value Problems
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Author : David L. Powers
language : en
Publisher: Academic Press
Release Date : 2006
Boundary Value Problems written by David L. Powers and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Preface -- Chapter 0. Ordinary Differential Equations -- Chapter 1. Fourier Series and Integrals -- Chapter 2. The Heat Equation -- Chapter 3. The Wave Equation -- Chapter 4. The Potential Equation -- Chapter 5. Higher Dimensions & Other Coordinates.
Heat Conduction
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Author : M. Necati Özışık
language : en
Publisher: John Wiley & Sons
Release Date : 1993-03-22
Heat Conduction written by M. Necati Özışık and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-22 with Science categories.
This Second Edition for the standard graduate level course in conduction heat transfer has been updated and oriented more to engineering applications partnered with real-world examples. New features include: numerous grid generation--for finding solutions by the finite element method--and recently developed inverse heat conduction. Every chapter and reference has been updated and new exercise problems replace the old.
Heat Conduction
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Author : Latif M. Jiji
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-09
Heat Conduction written by Latif M. Jiji and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-09 with Technology & Engineering categories.
This textbook presents the classical topics of conduction heat transfer and extends the coverage to include chapters on perturbation methods, heat transfer in living tissue, and microscale conduction. This makes the book unique among the many published textbook on conduction heat transfer. Other noteworthy features of the book are: The material is organized to provide students with the tools to model, analyze and solve a wide range of engineering applications involving conduction heat transfer. Mathematical techniques are presented in a clear and simplified fashion to be used as instruments in obtaining solutions. The simplicity of one-dimensional conduction is used to drill students in the role of boundary conditions and to explore a variety of physical conditions that are of practical interest. Examples are carefully selected to illustrate the application of principles and the construction of solutions. Students are trained to follow a systematic problem solving methodology with emphasis on thought process, logic, reasoning and verification. Solutions to all examples and end-of-chapter problems follow an orderly problems solving approach. Extensive training material is available on the web The author provides an extensive solution manual for verifiable course instructors on request. Please send your request to [email protected]
Boundary Value Problems Of Mathematical Physics
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Author : Ivar Stakgold
language : en
Publisher: SIAM
Release Date : 2000-06-30
Boundary Value Problems Of Mathematical Physics written by Ivar Stakgold and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-30 with Science categories.
For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Now a part of SIAM's Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory?subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.
Numerical Heat Transfer And Fluid Flow
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Author : Suhas Patankar
language : en
Publisher: CRC Press
Release Date : 2018-10-08
Numerical Heat Transfer And Fluid Flow written by Suhas Patankar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Science categories.
This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.
The One Dimensional Heat Equation
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Author : John Rozier Cannon
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28
The One Dimensional Heat Equation written by John Rozier Cannon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.
This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.
Solving Direct And Inverse Heat Conduction Problems
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Author : Jan Taler
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-16
Solving Direct And Inverse Heat Conduction Problems written by Jan Taler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-16 with Science categories.
This book is devoted to the concept of simple and inverse heat conduction problems. The process of solving direct problems is based on the tempera ture determination when initial and boundary conditions are known, while the solving of inverse problems is based on the search for boundary condi tions when temperature properties are known, provided that temperature is the function of time, at the selected inner points of a body. In the first part of the book (Chaps. 1-5), we have discussed theoretical basis for thermal conduction in solids, motionless liquids and liquids that move in time. In the second part of the book, (Chapters 6-26), we have discussed at great length different engineering problems, which we have presented together with the proposed solutions in the form of theoretical and mathematical examples. It was our intention to acquaint the reader in a step-by-step fashion with all the mathematical derivations and solutions to some of the more significant transient and steady-state heat conduction problems with respect to both, the movable and immovable heat sources and the phenomena of melting and freezing. Lots of attention was paid to non-linear problems. The methods for solving heat conduction problems, i. e. the exact and approximate analytical methods and numerical methods, such as the finite difference method, the finite volume method, the finite element method and the boundary element method are discussed in great detail. Aside from algorithms, applicable computational programs, written in a FORTRAN language, were given.