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Gas Dynamics Tables
Genick Bar-Meir
December 4, 2007
Version 1.3
This document started as a collection of the tables made in the book
“Fundamentals of compressible Flow Mechanics.” However, since the
initial phase it has grown and now has additional tables for various
values of specific heat, k = 1:2; 1:3; 1:4 and 1:67 etc. Furthermore,
the tables are more detailed than those in the book. In fact, there are
no known tables that match the depth, variety, and quality of this
collection. So, as far as it is known, this collection of gas dynamics
tables is the biggest in the world.
These tables supposed to be used by professionals and students who
would like to have handy gas dynamics tables without going through
the pages of the whole books. These tables are intended to replace
commercial tables.
These Tables were created by Potto-GDC and later where translated
by using latex2html versions 1.7. Then they were translated from
html to php by toPHP script (our script). The oblique shock figures
were generate by a new script that use gd (non graphical part of gdc)
and produces a gle file. The simple operation is:
./obliqueFigur 1.4
and later use gle ob.jpg to generate a eps file. If you interested in
this php scrip or the figure script drop me a line.
2
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copyright
, 2007, by Dr. Bar–Meir www.potto.org
Contents
1 Isentropic Flow 7
1.1 Regular Isentropic Flow Tables . . . . . . . . . . . . . . . . . 7
1.1.1 Isentropic Flow for k=1.2 . . . . . . . . . . . . . . . . 7
1.1.2 Isentropic Flow for k=1.3 . . . . . . . . . . . . . . . . 9
1.1.3 Isentropic Flow for k =1.4 . . . . . . . . . . . . . . . . 12
1.1.4 Isentropic Flow k=1.67 . . . . . . . . . . . . . . . . . . 14
1.2 “Naughty Professor” Tables (NPT) for Isentropic Flow . . . . 17
1.2.1 NPTfor Isentropic Flow k=1.2 . . . . . . . . . . . . . 17
1.2.2 NPTfor Isentropic Flow k=1.3 . . . . . . . . . . . . . 19
1.2.3 NPTfor Isentropic Flow k=1.4 . . . . . . . . . . . . . 22
1.2.4 NPTfor Isentropic Flow k=1.67 . . . . . . . . . . . . . 24
2 Isothermal Nozzle 29
2.1 Isothermal Nozzle for k=1.2 . . . . . . . . . . . . . . . . . . . 29
2.2 Isothermal Nozzle for k=1.3 . . . . . . . . . . . . . . . . . . . 33
2.3 Isothermal Nozzle for k=1.4 . . . . . . . . . . . . . . . . . . . 35
2.4 Isothermal Nozzle for k=1.67 . . . . . . . . . . . . . . . . . . 38
3 Normal Shock 41
3.1 Normal Shock Standard tables . . . . . . . . . . . . . . . . . . 41
3.1.1 Normal Shock Standard Table for k=1.2 . . . . . . . . 41
3.1.2 Normal Shock Standard Table for k=1.3 . . . . . . . . 43
3.1.3 Normal Shock Standard Table for k=1.4 . . . . . . . . 45
3.1.4 Normal shock Standard Table for k=1.67 . . . . . . . . 47
3.2 Open Valve maximum values . . . . . . . . . . . . . . . . . . . 50
3.3 Shock Reflecting from a Suddenly Closed Valve . . . . . . . . 50
3.3.1 Reflecting Shock (closed Valve) k =1.2 . . . . . . . . . 50
3.3.2 Reflecting Shock (closed Valve) k =1.3 . . . . . . . . . 53
3
4 CONTENTS
3.3.3 Reflecting Shock (closed Valve) k =1.4 . . . . . . . . . 55
3.3.4 Reflecting Shock (closed Valve) k =1.67 . . . . . . . . 56
3.4 Shock propagating from suddenly open valve . . . . . . . . . . 58
3.4.1 Shock from suddenly open valve k =1.2 . . . . . . . . . 58
3.4.2 Shock from suddenly open valve k =1.3 . . . . . . . . . 60
3.4.3 Shock from suddenly open valve k =1.4 . . . . . . . . . 63
3.4.4 Shock from suddenly open valve k =1.67 . . . . . . . . 65
4 Isothermal Flow 69
4.1 Isothermal Flow k=1.2 . . . . . . . . . . . . . . . . . . . . . . 69
4.2 Isothermal Flow k=1.3 . . . . . . . . . . . . . . . . . . . . . . 72
4.3 Isothermal Flow k=1.4 . . . . . . . . . . . . . . . . . . . . . . 75
4.4 Isothermal Flow k=1.67 . . . . . . . . . . . . . . . . . . . . . 78
4.5 Unchoked Isothermal Flow k=1.4 . . . . . . . . . . . . . . . . 81
5 Fanno Flow 83
5.1 Standard Fanno Flow Table for k=1.2 . . . . . . . . . . . . . 83
5.2 Standard Fanno Flow Table for k=1.3 . . . . . . . . . . . . . 119
5.3 Standard Fanno Flow Table for k=1.4 . . . . . . . . . . . . . 155
5.4 Standard Fanno Flow Table for k=1.67 . . . . . . . . . . . . 191
6 Rayleigh Flow 229
6.1 Rayleigh Flow Table for k=1.2 . . . . . . . . . . . . . . . . . . 229
6.2 Rayleigh Flow Table for k=1.3 . . . . . . . . . . . . . . . . . . 265
6.3 Rayleigh Flow Table for k=1.4 . . . . . . . . . . . . . . . . . . 300
6.4 Rayleigh Flow Table for k=1.67 . . . . . . . . . . . . . . . . . 336
7 Prandtl-Meyer Function 373
7.1 Prandtl-Meyer Function for k=1.2 . . . . . . . . . . . . . . . . 373
7.2 Prandtl-Meyer Function for k=1.3 . . . . . . . . . . . . . . . . 403
7.3 Prandtl-Meyer Function for k=1.4 . . . . . . . . . . . . . . . . 432
7.4 Prandtl–Meyer Function for k=1.67 . . . . . . . . . . . . . . . 462
8 Oblique Shock 493
8.1 Values at the Deflection Point . . . . . . . . . . . . . . . . . . 493
8.1.1 Deflection Point for k=1.2 . . . . . . . . . . . . . . . . 493
8.1.2 Deflection Point for k=1.3 . . . . . . . . . . . . . . . . 523
8.1.3 Deflection Point for k=1.4 . . . . . . . . . . . . . . . . 553
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copyright
, 2007, by Dr. Bar–Meir www.potto.org
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