Solving direct and inverse heat conduction problems / Jan Taler, Piotr Duda

Por: Taler, JanColaborador(es): Duda, PiotrTipo de material: TextoTextoDetalles de publicación: Berlín : Springer, 2006 Descripción: XXVI, 889 p. : gráf. ; 24 cm + 1 disco compactoISBN: 978-3-540-33470-5Tema(s): Calor -- Transmisión -- Problemas, ejercicios, etcResumen: 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.Resumen: Índice: From the contents Part I: Heat conduction fundamentals.- Fourier Law.-Mass and energy balance equations.- The reduction of transient heat conduction equations and boundary conditions.- Substituting heat conduction equation by two-equations system.- Variable change.- Part II: Exercises. Solving heat conduction problems.- Heat transfer fundamentals.- Two-dimensional steady-state heat conduction. Analytical solutions.- Analytical approximation methods. Integral heat balance method.- Two-dimensional steady-state heat conduction. Graphical method.- Two-dimensional steady-state problems. The shape coefficie... Etc.
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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.

Índice: From the contents Part I: Heat conduction fundamentals.- Fourier Law.-Mass and energy balance equations.- The reduction of transient heat conduction equations and boundary conditions.- Substituting heat conduction equation by two-equations system.- Variable change.- Part II: Exercises. Solving heat conduction problems.- Heat transfer fundamentals.- Two-dimensional steady-state heat conduction. Analytical solutions.- Analytical approximation methods. Integral heat balance method.- Two-dimensional steady-state heat conduction. Graphical method.- Two-dimensional steady-state problems. The shape coefficie... Etc.

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