Gilles Louis - Dynamics of Aircraft Flight

8 Chapter 9Figure 9.1. Rotation axis Δ. For a color version of this figure, see www.iste.co...Figure 9.2. Quaternion trihedrons

1 Cover

2 Table of Contents

3 Title Page Series Editor Jean-Paul Bourrières

4 Copyright First published 2022 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 London SW19 4EU UK www.iste.co.uk John Wiley & Sons, Inc. 111 River Street Hoboken, NJ 07030 USA www.wiley.com © ISTE Ltd 2022 The rights of Gilles Louis to be identified as the author of this work have been asserted by him in accordance with the Copyright, Designs and Patents Act 1988. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s), contributor(s) or editor(s) and do not necessarily reflect the views of ISTE Group. Library of Congress Control Number: 2022932439 British Library Cataloguing-in-Publication Data A CIP record for this book is available from the British Library ISBN 978-1-78630-719-4

5 Foreword

6 Introduction

7 Begin Reading

8 Glossary

9 List of Abbreviations

10 References

11 Index

12 End User License Agreement

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Series Editor

Jean-Paul Bourrières

Gilles Louis

First published 2022 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

London SW19 4EU

UK

www.iste.co.uk

John Wiley & Sons, Inc.

111 River Street

Hoboken, NJ 07030

USA

www.wiley.com

© ISTE Ltd 2022

The rights of Gilles Louis to be identified as the author of this work have been asserted by him in accordance with the Copyright, Designs and Patents Act 1988.

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s), contributor(s) or editor(s) and do not necessarily reflect the views of ISTE Group.

Library of Congress Control Number: 2022932439

British Library Cataloguing-in-Publication Data

A CIP record for this book is available from the British Library

ISBN 978-1-78630-719-4

When Gilles invited me to preface his book on the mechanics of flight systems, I immediately accepted. My interest in his work is not only the result of our collaboration on multiple subjects and technical projects over the past 12 years but is also based on the way he has dealt with the subject.

This book is not simply a collection of mathematical formulas; it is the fruit of experience coupled with an ability to conceptualize. Following a general guideline, each step is described in great detail, with a number of concrete examples to which mathematical formulations are added. The latter are of course the fundamental elements leading to the sizing and optimization of the systems.

The mathematics used in this context is not accessible without prior understanding. It is therefore out of a pedagogical spirit that Gilles first takes up all the definitions of the mathematical elements: lift, drag, aerodynamic focus and so on.

In conclusion, this book offers a global vision of what flight mechanics is and it is therefore of great interest to all engineers and scientists who are called upon to work in this field.

Serge ZANINOTTI

February 2022

What characterizes the mechanics of flight in relation to other branches of rational mechanics is that, among the various forces present, the aerodynamic forces intervene, and they themselves result from the relative movement of the aircraft in relation to the surrounding atmosphere. It is therefore essential to define the characteristics of the atmosphere.

The notion of a standard atmosphere meets this need. Air is considered an ideal gas, represented by the three state parameters (pressure, density and temperature), heavy and still.

Just as it is necessary to define the atmosphere in which the airplane is traveling, so it is necessary to be able to measure the velocity on board the aircraft, especially the velocity in relation to the air.