Transient Heat Transfer
This book presents a new and direct computational method for transient heat transfer. The approach uses the well-known dimensionless Biot number and a second dimensionless number introduced by the author. The methodology allows for a transient heat transf
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Donatello Annaratone
Transient Heat Transfer
123
Prof. Donatello Annaratone Via Ceradini 14 20129 Milano Italy e-mail: [email protected]
ISSN 2191-530X
e-ISSN 2191-5318
ISBN 978-3-642-19776-5
e-ISBN 978-3-642-19777-2
DOI 10.1007/978-3-642-19777-2 Springer Heidelberg Dordrecht London New York Ó Donatello Annaratone 2011 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: eStudio Calamar, Berlin/Figueres Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
After a brief introduction this publication presents Fourier’s well-known law of thermal conduction which constitutes the basis of any phenomenon related to transient heat transfer. Then the author examines heat diffusion in a plane plate under specific conditions. In these cases it is possible to solve the second degree differential equation. This has been accomplished for a plate of infinite thickness, and then, within certain boundaries, for a plate of finite thickness as well. By introducing a new dimensionless number indicated by X and with reference to Biot’s number, the author introduces a computation method to determine the time required to obtain a particular result, without relying on finite differences program. This is a direct computation based on the number X, the value of which is shown in several Tables. The method focuses on the following cases: plate immersed in fluid; plate heated or cooled on one side; tube heated or cooled on the outside surface; plate radiated on both sides or plate radiated on one side; transient heat transfer from one fluid to another through a plate; transient heat transfer from the outside fluid to the inside fluid in a tube. Finally, a series of diagrams highlight the behavior of temperatures over time and based on location, or other significant quantities that are characteristic of the study being discussed. Milano, Italy
Donatello Annaratone
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Contents
Transient Heat Transfer . . . . . . . . . . . . . . . . . . . . . . . . . 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 General Law of Thermal Conduction . . . . . . . . . . . . . . 3 Heat Diffusion in Plate
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