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National Advisory Committee for Aeronautics, Report - Equations, Tables, and Charts for Compressible Flow

This report, which is a revision and extension of NACA TN
1428, presents a compilation of equations, tables, and charts
useful in the analysis of high-speedflow of a compressible fluid.
The equations provide relations for continuous one—dimensional
flow, normal and oblique shock waves, and Prandtl-Meyer
expansions for both perfect and imperfect gases. The tables
present useful dimensionless ratios for continuous one-dimen—
sional flow and for normal shock waves as functions of Mach
numberfor air considered as a perfect gas. One series of charts
presents the characteristics of the flow of air (considered a perfect
gas) for oblique shock waves and for cones in a supersonic air
stream. A second series shows the eflects of caloric imperfec—
tions on continuous one-dimensional flow and on the flow
through normal and oblique shock waves.

The practical analysis of compressible flow involves fre—
quent application of a few basic results. A convenient
compilation of equations, tables, and charts embodying these
results is therefore of great assistance in both research and
design. The present report makes one of the. first such
compilations (ref. 1) more readily available in a revised and
extended form. The revisions include a complete rewriting
of the lists of equations, as well as the correction of certain
typographical errors which appeared in the earlier work.
The extensions are primarily in the directions dictated by
increasing flight speeds, that is, to higher hIach numbers and
to higher temperatures with the accompanying gaseous
imperfections.

Compilations similar to those of reference 1 have been
given in other publications, as, for example, references 2
through 6. These references have been utilized in extending
the tables and charts to higher values of the Mach number.
The extension to imperfect gases is based on the relations
presented in references 7 and 8.