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Mathematical and Mechanical Engineering Set
coordinated by
Abdelkhalak El Hami
Volume 10
Heat Transfer 2
Radiative Transfer
Michel Ledoux
Abdelkhalak El Hami
First published 2021 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc.
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address:
ISTE Ltd
27-37 St George’s Road
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UK
John Wiley & Sons, Inc.
111 River Street
Hoboken, NJ 07030
USA
© ISTE Ltd 2021
The rights of Michel Ledoux and Abdelkhalak El Hami to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988.
Library of Congress Control Number: 2020949611
British Library Cataloguing-in-Publication Data
A CIP record for this book is available from the British Library
ISBN 978-1-78630-517-6
Preface
Thermal science is to thermodynamics as decree is to law. It answers the following question – which all good leaders must (or should) ask themselves whenever they have an “idea”: “How would this work in practice?”. In a way, thermal science “implements” thermodynamics, of which it is a branch. A thermodynamics specialist is a kind of energy economist. Applying the first principle, they create a “grocery store”. With the second principle, they talk about the quality of their products. I add or remove heat from a source or work from a system. And the temperature, among other things, defines the quality of the energy for me.
But by what means do I take or do I give? Even calculations of elementary reversible transformations do not tell us by what process heat passes from a source to a system.
Thermal science specifies how, but “evacuates” work. If in a given problem related to, for example, a convector where an electrical energy (therefore in the “work” category) appears, it is immediately dissipated into heat by the Joule effect.
Three heat transfer modes can be identified: conduction and radiation – which can be seen separately, although they are often paired up – and convection, which is by nature an interaction of fluid mechanics and conduction.
Dividing the study of thermal science into three is the result of logic. Presenting this work in three volumes is somewhat arbitrary; in our opinion, however, this split was necessary in order to keep the volumes in the collection a reasonable size.
This is Volume 2 of a collection of problems on thermal transfer, dedicated to radiation and digital approaches to transfer. Even though it is primarily a collection of exercises, a great deal of attention is focused on lessons. For the most part, the work is a first introduction to the thermal calculation of practical devices, which may be enough in itself. For subsequent calculations, the reader will still have to turn to specialist works or encyclopedias available in the field of thermics.
In Chapter 1, after a brief historical background, we summarize the vital notions of electromagnetic radiation and how they are written. The emphasis in this book is on the aspect of energy: the notions of photometry prove indispensable at this stage of exploration.
At the heart of studying radiation, Chapter 2 focuses on calculating luminances, relying on black body laws (Planck’s law; Rayleigh–Jeans and Wien approximations) and its derivatives: Stefan–Boltzmann laws and Wien laws. For evaluating a fraction of total emittance radiated in a spectral band, the
Chapter 3 tackles these interactions between a light flux and a material medium, a fundamental subject in any practical calculation of radiation: the phenomena of emission, absorption, transmission, etc., as well as the Kirchhoff law, emissivity, absorption coefficient, etc.
Chapter
