Methods For Inverse Heat Conduction Problems
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| Author | : Oleg M. Alifanov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 360 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642764363 |
This research monograph presents a systematic treatment of the theory of the propagation of transient electromagnetic fields (such as optical pulses) through dielectric media which exhibit both dispersion a.nd absorption. The work divides naturally into two parts. Part I presents a summary of the fundamental theory of the radiation and propagation of rather general electromagnetic waves in causal, linear media which are homogeneous and isotropic but which otherwise have rather general dispersive and absorbing properties. In Part II, we specialize to the propagation of a plane, transient electromagnetic field in a homogeneous dielectric. Although we have made some contributions to the fundamental theory given in Part I, most of the results of our own research appear in Part II. The purpose of the theory presented in Part II is to predict and to explain in explicit detail the dynamics of the field after it has propagated far enough through the medium to be in the mature-dispersion regime. It is the subject of a classic theory, based on the research conducted by A. Sommerfeld and L.
| Author | : M. Necat Ozisik |
| Publisher | : CRC Press |
| Total Pages | : 370 |
| Release | : 2000-04-01 |
| Genre | : Science |
| ISBN | : 9781560328384 |
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.
| Author | : Jan Taler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 890 |
| Release | : 2010-04-16 |
| Genre | : Science |
| ISBN | : 3540334718 |
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.
| Author | : James V. Beck |
| Publisher | : James Beck |
| Total Pages | : 336 |
| Release | : 1985-10-02 |
| Genre | : Mathematics |
| ISBN | : 9780471083191 |
Here is the only commercially published work to deal with the engineering problem of determining surface heat flux and temperature history based on interior temperature measurements. Provides the analytical techniques needed to arrive at otherwise difficult solutions, summarizing the findings of the last ten years. Topics include the steady state solution, Duhamel's Theorem, ill-posed problems, single future time step, and more.
| Author | : Dinh Nho Hào |
| Publisher | : Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften |
| Total Pages | : 274 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : |
The problems of determining the surface temperature and the surface heat flux, the capacity of the heat transfer coefficient from transient temperature measurements at one or more locations are frequently arising in many practical engineering contexts. These so-called inverse heat conduction problems (IHCPs) have been extensively studied over the last 30 years. This book starts with an up-to-date overview on the subject. It is mainly devoted to solvability criteria for IHCPs as well as efficient and stable solution methods like mollification methods, variational and iterative methods.
| Author | : Devashish Shrivastava |
| Publisher | : John Wiley & Sons |
| Total Pages | : 897 |
| Release | : 2018-07-02 |
| Genre | : Science |
| ISBN | : 1119127300 |
An authoritative guide to theory and applications of heat transfer in humans Theory and Applications of Heat Transfer in Humans 2V Set offers a reference to the field of heating and cooling of tissue, and associated damage. The author—a noted expert in the field—presents, in this book, the fundamental physics and physiology related to the field, along with some of the recent applications, all in one place, in such a way as to enable and enrich both beginner and advanced readers. The book provides a basic framework that can be used to obtain ‘decent’ estimates of tissue temperatures for various applications involving tissue heating and/or cooling, and also presents ways to further develop more complex methods, if needed, to obtain more accurate results. The book is arranged in three sections: The first section, named ‘Physics’, presents fundamental mathematical frameworks that can be used as is or combined together forming more complex tools to determine tissue temperatures; the second section, named ‘Physiology’, presents ideas and data that provide the basis for the physiological assumptions needed to develop successful mathematical tools; and finally, the third section, named ‘Applications’, presents examples of how the marriage of the first two sections are used to solve problems of today and tomorrow. This important text is the vital resource that: Offers a reference book in the field of heating and cooling of tissue, and associated damage. Provides a comprehensive theoretical and experimental basis with biomedical applications Shows how to develop and implement both, simple and complex mathematical models to predict tissue temperatures Includes simple examples and results so readers can use those results directly or adapt them for their applications Designed for students, engineers, and other professionals, a comprehensive text to the field of heating and cooling of tissue that includes proven theories with applications. The author reveals how to develop simple and complex mathematical models, to predict tissue heating and/or cooling, and associated damage.
| Author | : De-Shuang Huang |
| Publisher | : Springer |
| Total Pages | : 704 |
| Release | : 2012-07-09 |
| Genre | : Computers |
| ISBN | : 3642315763 |
This book constitutes the refereed proceedings of the 8th International Conference on Intelligent Computing, ICIC 2012, held in Huangshan, China, in July 2012. The 85 revised full papers presented were carefully reviewed and selected from 753 submissions. The papers are organized in topical sections on neural networks, evolutionar learning and genetic algorithms, granular computing and rough sets, biology inspired computing and optimization, nature inspired computing and optimization, cognitive science and computational neuroscience, knowledge discovery and data mining, quantum computing, machine learning theory and methods, healthcare informatics theory and methods, biomedical informatics theory and methods, complex systems theory and methods, intelligent computing in signal processing, intelligent computing in image processing, intelligent computing in robotics, intelligent computing in computer vision, intelligent agent and web applications, special session on advances in information security 2012.
| Author | : Helcio R.B. Orlande |
| Publisher | : CRC Press |
| Total Pages | : 754 |
| Release | : 2011-05-24 |
| Genre | : Science |
| ISBN | : 1439845565 |
With its uncommon presentation of instructional material regarding mathematical modeling, measurements, and solution of inverse problems, Thermal Measurements and Inverse Techniques is a one-stop reference for those dealing with various aspects of heat transfer. Progress in mathematical modeling of complex industrial and environmental systems has e
| Author | : Suvanjan Bhattacharyya |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 204 |
| Release | : 2020-12-02 |
| Genre | : Science |
| ISBN | : 1789851777 |
A direct solution of the heat conduction equation with prescribed initial and boundary conditions yields temperature distribution inside a specimen. The direct solution is mathematically considered as a well-posed one because the solution exists, is unique, and continuously depends on input data. The estimation of unknown parameters from the measured temperature data is known as the inverse problem of heat conduction. An error in temperature measurement, thermal time lagging, thermocouple-cavity, or signal noise data makes stability a problem in the estimation of unknown parameters. The solution of the inverse problem can be obtained by employing the gradient or non-gradient based inverse algorithm. The aim of this book is to analyze the inverse problem and heat exchanger applications in the fields of aerospace, mechanical, applied mechanics, environment sciences, and engineering.
| Author | : Keith A. Woodbury |
| Publisher | : CRC Press |
| Total Pages | : 481 |
| Release | : 2002-09-25 |
| Genre | : Mathematics |
| ISBN | : 1420041614 |
Inverse problems have been the focus of a growing number of research efforts over the last 40 years-and rightly so. The ability to determine a "cause" from an observed "effect" is a powerful one. Researchers now have at their disposal a variety of techniques for solving inverse problems, techniques that go well beyond those useful for relatively si
