Solving Direct and Inverse Heat Conduction Problems
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Beschreibung
The book presents a solution for direct and inverse heat conduction problems. In the first part, the authors discuss the theoretical basis for the heat transfer process. In the second part, they present selected theoretical and numerical problems in the form of exercises with their subsequent solutions. Such layout of the book will allow the reader to become more familiar with step-by-step calculation methods and with the practical application of the equations to the solution of design and utilization problems of thermal machinery. It will also help to master complex mathematics behind the heat transfer theory.
The book covers one-, two- and three dimensional problems which are solved by using 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 method. Unlike other books on the subject, the superposition method is thoroughly presented. Particular attention is paid to the solution of inverse heat conduction problems.
The authors took special care that the solved inverse problems can be implemented in indirect measurements of boundary heat flux and heat transfer coefficient. Included in this text is the determination of optimal fluid temperature changes during heating and cooling of solids. In great detail the problems of temperature transients caused by both moveable and immovable heat sources is discussed. They analyze the melting and freezing processes, including the freezing of food products. Moreover, they use computing programs written in Fortran language for solving mathematical equations. The book content is strengthened by additional materials presented at the back of the book, which include, among others, the description of basic mathematical functions characteristic of heat transfer problems, calculation of the inverse Laplace transformation, the property tables for stable thermophysical bodies and shape coefficients for isothermal surfaces of various shapes and programs that are typically used for solving differential equations. This book is strongly recommended for undergraduate and PhD students, researchers and academics of Power, Process, Mechanical and Environmental Engineering Faculties. The book should also appeal to those who conduct research in the area of thermal engineering, house-heating, air-conditioning systems and cooling processes, combustion engines and welding technology.
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.
Presents the theoretical basis for thermal conduction in solids, motionless liquids and liquids that move Includes a multitude of solved examples and solutions of engineering heat conduction problems, for example during the designing and life-time calculations of industrial machinery, combustion engines and in refrigerating and air conditioning engineering User-oriented written, easy to follow Makes the reader in a step-by-step fashion acquainted with all the mathematical derivations and solutions to the significant transient and steady-state heat conduction problems Accompanying CD-Rom includes computational solutions of the examples/FORTRAN codes
Autor*in
Jan Taler
Themen in »Solving Direct and Inverse Heat Conduction Problems«
Heat Conduction Thermal Conduction energy finite element method heat transfer
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From the reviews:
"The present book is devoted to direct and inverse heat conduction problems. … The methods for solving problems involved with welding and laser technology are also discussed in great detail. The present book is addressed to undergraduate and PhD students of mechanical, power, process and environment engineering. … it can also serve as a reference book to be used by nuclear, industrial and civil engineers." (Lubomira Softova, Zentralblatt MATH, Vol. 1122 (24), 2007)
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