Heat Conduction Using Green S Functions

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Heat Conduction Using Green S Functions

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Author : Kevin Cole
language : en
Publisher: Taylor & Francis
Release Date : 2010-07-16

Heat Conduction Using Green S Functions written by Kevin Cole and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-16 with Science categories.

Since its publication more than 15 years ago, Heat Conduction Using Green's Functions has become the consummate heat conduction treatise from the perspective of Green's functions-and the newly revised Second Edition is poised to take its place. Based on the authors' own research and classroom experience with the material, this book organizes the so

Heat Conduction Using Green S Function

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Author : James V. Beck
language : en
Publisher: Taylor & Francis
Release Date : 1992-02-01

Heat Conduction Using Green S Function written by James V. Beck and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-01 with Science categories.

The purpose of the book is to organize the solution of heat conduction and diffusion problems and to make them more accessible. This is accomplished using the method of Green’s functions, together with extensive tables of Green’s functions and related integrals. The tables of Green’s function were first compiled as a supplement to a first-year graduate course in heat conduction. The book was originally envisioned as a reference volume, but it has since grown into a heat conduction treatise from a Green’s-functions perspective.

Heat Conduction Using Green S Functions

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Author : Forooza Samadi
language : en
Publisher:
Release Date : 2020

Heat Conduction Using Green S Functions written by Forooza Samadi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.

Finding the unknowns in directly inaccessible areas is one of the challenging problems in engineering applications. The fluid flow or thermal conditions of the flow inside the pipe are examples of such unknowns. Developing analytical models that provide explicit mathematical formulas is a mathematically efficient and desirable way of dealing with these challenges. This dissertation focuses on developing an analytical solution that can find the temperature distribution in radial and axial directions in the pipe wall. Partial heating along with Green's functions is used to develop this solution. Working with Greens functions sparked the idea of using them as building blocks for a novel numerical method for solving the heat conduction equation. In the second chapter, the transient temperature response inside the pipe to the partial heating on it is found using GFs and the solution is verified using a few intrinsic verification principles. This analytical solution, then, is used in developing a non-invasive method for measuring the flow rate in pipes by measuring the temperature at a single point. Optimal experiment design methods are used to find the optimal location and time duration for performing the measurement. Chapter 3 is about developing a novel numerical solution to the linear heat conduction equation. This method uses superposition of exact solutions (SES), obtained using GFs, to evaluate the temperature and heat flux at any point of the 1-D domain. The SES method is not sensitive to the size of the grids and is much more accurate than the conventional Crank Nicolson (CN) method. This method is extended to the cases in which the thermal properties vary with temperature, later, in Chapter 4. The results confirm the grid independence of the SES and show high accuracy in its prediction when the time step is not large. One of the applications of the analytical solution obtained herein is using them in solving inverse problems. Inverse heat conduction problems (IHCPs) are used to estimate unknown heat flux functions through measuring temperatures far from active surfaces. The second part of this dissertation (Chapters 5 and 6) focuses on generalizing and optimizing two IHCP solution methods.

Symbolic Algebraic And Numeric Solutions To Heat Conduction Problems Using Green S Functions

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Author : Paul Henry Zang
language : en
Publisher:
Release Date : 1987

Symbolic Algebraic And Numeric Solutions To Heat Conduction Problems Using Green S Functions written by Paul Henry Zang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Green's functions categories.

Diffusion Wave Fields

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Author : Andreas Mandelis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Diffusion Wave Fields written by Andreas Mandelis 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 2013-03-09 with Science categories.

Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to provide a unified approach, the author develops the properties of diffusion-wave fields first for the well-studied case of thermal-wave fields and then applies the methods to nonthermal fields.

Heat Conduction

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Author : David W. Hahn
language : en
Publisher: John Wiley & Sons
Release Date : 2012-08-20

Heat Conduction written by David W. Hahn 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 2012-08-20 with Science categories.

HEAT CONDUCTION Mechanical Engineering THE LONG-AWAITED REVISION OF THE BESTSELLER ON HEAT CONDUCTION Heat Conduction, Third Edition is an update of the classic text on heat conduction, replacing some of the coverage of numerical methods with content on micro- and nanoscale heat transfer. With an emphasis on the mathematics and underlying physics, this new edition has considerable depth and analytical rigor, providing a systematic framework for each solution scheme with attention to boundary conditions and energy conservation. Chapter coverage includes: Heat conduction fundamentals Orthogonal functions, boundary value problems, and the Fourier Series The separation of variables in the rectangular coordinate system The separation of variables in the cylindrical coordinate system The separation of variables in the spherical coordinate system Solution of the heat equation for semi-infinite and infinite domains The use of Duhamel’s theorem The use of Green’s function for solution of heat conduction The use of the Laplace transform One-dimensional composite medium Moving heat source problems Phase-change problems Approximate analytic methods Integral-transform technique Heat conduction in anisotropic solids Introduction to microscale heat conduction In addition, new capstone examples are included in this edition and extensive problems, cases, and examples have been thoroughly updated. A solutions manual is also available. Heat Conduction is appropriate reading for students in mainstream courses of conduction heat transfer, students in mechanical engineering, and engineers in research and design functions throughout industry.

Use Of Green S Function In Heat Conduction With Change Of Phase

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Author : Hsin Chang
language : en
Publisher:
Release Date : 1988

Use Of Green S Function In Heat Conduction With Change Of Phase written by Hsin Chang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Use Of Green S Function In Heat Conduction With Change Of Phase

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Author : Xin Zhang
language : en
Publisher:
Release Date : 1988

Use Of Green S Function In Heat Conduction With Change Of Phase written by Xin Zhang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Encyclopedia Of Thermal Stresses

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Author : Richard B. Hetnarski
language : en
Publisher: Springer
Release Date : 2013-12-04

Encyclopedia Of Thermal Stresses written by Richard B. Hetnarski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-04 with Technology & Engineering categories.

The Encyclopedia of Thermal Stresses is an important interdisciplinary reference work. In addition to topics on thermal stresses, it contains entries on related topics, such as the theory of elasticity, heat conduction, thermodynamics, appropriate topics on applied mathematics, and topics on numerical methods. The Encyclopedia is aimed at undergraduate and graduate students, researchers and engineers. It brings together well established knowledge and recently received results. All entries were prepared by leading experts from all over the world, and are presented in an easily accessible format. The work is lavishly illustrated, examples and applications are given where appropriate, ideas for further development abound, and the work will challenge many students and researchers to pursue new results of their own. This work can also serve as a one-stop resource for all who need succinct, concise, reliable and up to date information in short encyclopedic entries, while the extensive references will be of interest to those who need further information. For the coming decade, this is likely to remain the most extensive and authoritative work on Thermal Stresses.

Handbook Of Green S Functions And Matrices

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Author : V. D. Şeremet
language : en
Publisher: Witpress
Release Date : 2003

Handbook Of Green S Functions And Matrices written by V. D. Şeremet and has been published by Witpress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with CD-ROMs categories.

Designed for graduate and postgraduate students investigating such areas as elasticity, thermoelasticity, mechanics, heat conduction, elector and magneto conduction, electronics, radio-physics, hydrodynamics, and conduction of moisture, the text will also be of interest to engineers and researchers working in these fields.