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

Description

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