NACA-Report-1135. Equations, tables, and charts for compressible flow

National Advisory Committee for Aeronautics (NACA). — Meffet Field, Calif.: Ames Aeronautical Laboratory, 1953. — 73 p.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-speed flow 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-dimensional flow and for normal shock waves as functions of Mach number for 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 effects of caloric imperfections on continuous one-dimensional flow and on the flow through normal and oblique shock waves.Contents:Summary
Introduction
Symbols and notationFundamental relations
Thermodynamics
Thermal equations of state
Caloric equation of state
Energy relations
Specific heats
Enthalpy
Entropy
Continuous one-dimensional flow
Basic equations and definitions
Integrated forms of energy equation
Pressure-density relation
Bernoulli's equation
Relations between local and free-stream conditions
Useful ratios
Stream-tube-area relationsShock waves
Normal shock waves
Basic equations
Useful relations
Oblique shock waves
Basic equations
Connection with normal shock
Useful relations
Shock polarSupersonic flow past wedges and cones
Flow past wedges
Flow past conesPrandtl-Meyer expansionImperfect-gas effects
Thermodynamics
Equations of state
Specific heats
Continuous one-dimensional flow
Basic equations and definitions
Integrated forms of energy equation
Pressure and density relations
Stream-tube-area relations
Normal shock waves
Oblique shock waves
Prandtl-Meyer expansionAppendices
Viscosity and thermodynamic constants for air
Reynolds number
Pressure conversion factorsReferences
Tables
Charts