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ASCHER H. SHAPIRO is Professor of Mechanical Engineer•
ing at the Massachusetts Institute of Technology where he
received his . and his . For various periods he served
on the mittee on Turbines, the mittee on
Internal Flow, and the mittee pressors and
Turbines of the National mittee for Aeronau•
tics , Beginning with the Lexington Project he has been
associated with studies of the use of nuclear energy for air•
craft propulsion. An inventor and a consulting engineer for
many industrial 如ms , Professor Shapiro is a Fellow of the
American Academy of Arts and Sciences.
an
O PRESSIBLE FLUID
•
FL
By
ASCHER H. SHAPIRO
Professor of Mechanical Engineering
M assachusetts 1nstitute of T echnology
1N Two VOLUMES
VOLUME 11
THE RONALD PANY -f NEW YORK
Copyright, 1954, by
THE RONALD PANY
All Righ/.s Reserved
The teχt of this publicatiot;t or any part
therecf may not -be reproduced in an."Ï
manner whatsoever without permission i :û.
writing from the publisher.
lOMP
Library of Congress Catalog Card Number: 53-8869
PRINTED IN THE UNITED BTATES OF AMERICA
To
SYLVIA
who gave meaning to this effort
PREFACE
During the past two decades a rapid growth of interest in the motion
pressible fluids has panied developments in high-speed
flight, jet engines, rockets, ballistics, combustion, gas turbines, ram jets
and other novel propulsive mechanisms, heat transfer at high speeds,
and blast-wave phenomena. My purpose in writing this book is to make
available to students, engineers, and applied physicists a work •
pressible fluid motion which would be suitable as an introductory text
in the subject as well as a reference \York for some of its more advanced
phases. The choice of subject matter has not been dictated by any
particular field of engineering, but rather includes topics of interest to
aeron