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Copyright © 2006, 2004, 1990, New Age International (P) Ltd., Publishers Published by New Age International (P) Ltd., Publishers All rights reserved. No part of this ebook may be reproduced in any form, by photostat, microfilm, xerography, or any other means, or incorporated into any information retrieval system, electronic or mechanical, without the written permission of the publisher. All inquiries should be emailed to
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ISBN (10) : 81-224-2322-1 ISBN (13) : 978-81-224-2322-8
PUBLISHING FOR ONE WORLD
NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS 4835/24, Ansari Road, Daryaganj, New Delhi - 110002 Visit us at www.newagepublishers.com
Preface to the Fifth Edition The data given in the previous edition has been thoroughly checked. Errors occurring in some pages have been corrected. This little book has been the companion volume of the author’s book—Fundamentals of Compressible Flow. They together will continue to serve the needs of students, scientists and engineers in areas of aerospace, mechanical, chemical and gas engineering. It is hoped that the new format of this edition will be more convenient to use.
New Delhi July, 2006
S.M. YAHYA
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Preface to the First Edition There was a long-felt need for gas tables to support the courses in Gas Dynamics, Turbomachinery and Aerodynamics taught at different levels. These tables have been prepared for compressible fluids of common use. Long and detailed tables in a wide range covering a number of values of γ = cp /cv besides being expensive are not fully used by a majority of students. Various formulas which form the basis of the tables are also included which will be useful for ready reference. With numerical work of this magnitude it is highly probable that some errors may have crept in; reference to these errors and suggestions for improvement will be highly appreciated. The ranges of various tables have been chosen according to their importance and frequency in use.
New Delhi July, 1978
S.M. YAHYA
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Contents Preface to the Fifth Edition
v
Preface to the First Edition
vii
Notation
1
Introduction
2
1.
Gas Dynamic Properties of Some Gases and Vapours 1.1 1.2 1.3 1.4 1.5
Air Hydrogen Carbon Dioxide Steam Freon–21
2.
Properties of Standard Atmosphere
3.
Isentropic Flow of Perfect Gases 3.1 γ = 1.3 3.2 γ = 1.4 3.3 γ = 1.67
4.
47 52 57
62 71
Flow of Perfect Gases with Friction (Fanno Flow) 6.1 γ = 1.3 6.2 γ = 1.4 6.3 γ = 1.67
7.
21 28 40
Oblique Shocks in Perfect Gases 5.1 Wave Angles for Given Deflections, γ = 1.4 5.2 Upstream and Downstream Mach Numbers and Deflections from Normal Shock Relations, γ = 1.4
6.
19
Normal Shocks in Perfect Gases 4.1 γ = 1.3 4.2 γ = 1.4 4.3 γ = 1.67
5.
14 15 16 17 18
75 81 87
Isothermal Flow of Perfect Gases with Friction 7.1 γ = 1.3 7.2 γ = 1.4
93 99
Contents
x
8.
Flow of Perfect Gases with Heat Transfer (Rayleigh Flow) 8.1 8.2 8.3 8.4
9.
γ = 1.3 γ = 1.4 γ = 1.67 Maximum Heat Transfer in Perfect Gases
Prandtl-Meyer Function with Mach Angles 9.1 α and ω (M) as functions of M 9.2 M and α as functions of ω (M)
10.
105 111 117 123
125 130
Approximate Velocities and Mach Numbers of Air Corresponding to Dynamic Heads, and Pressure Ratios 10.1 Air velocities and Mach numbers as functions of dynamic heads in mm W.G. 10.2 Air velocities and Mach numbers as functions of dynamic heads in mm Hg. 10.3 Mach Numbers as functions of pressure ratios (γ = 1.4)
135 136
Manometer Inclinations Required for the Desired Magnification of the Deflection
138
12.
Static Pressure Drop in Gas Pipe Lines
139
13.
Isentropic Compressor Power
141
14.
Pumping Power for Fans and Blowers
143
15.
S.I, Metric and British Units
11.
15.1 Principal dimensions and units 15.2 Conversion of Units
134
147 148