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National Advisory Committee for Aeronautics, Technical Notes - Charts for the Analysis of One Dimensional Steady Compressible Flow

ChartsIare presented in terms of dimensionless parameters
to facilitate the computation involved in the solution of equations
of one-dimensional steady flow of a compressible fluid. These
‘charts Can be effectively used in analyses involving constant or
variable specific heats in the subsonic and supersonic ranges.

Examples are given in which the charts are applied to the one—
dimensional analysis of ideal adiabatic steady flow in ducts of.
varying area and of nonisentrOpic frictionless steady flows. A
discussion is also given of the application of the charts in I_the__
analysis of adiabatic steady flow with external forces andI or flows _
simultaneously involving friction, changes in area, and_ addition of
heat.

Many of the problems involving the. steady flow- of a compressible
fluid in a duct can be solved with sufficient accuracy for
engineering purposes by'treati.ng the flow as 'one-dimensional"; that
is, a flow in which the veIlocity, tie pressure, and the temperature
of the fluid _ar—J asSLned to be constant orer any'5_iven cross section
of the duct and are therefore functions only of the distance along
the duct.

In many cases the algebraic solution of these one~dimensional
compressible flow problems is difficult, particularly fer flows"w1th
velocities near the velocity of sound and flows with supersonic
velocities for which variations in specific heat and gas constant are
important.- Numerous charts have been published for use in the
solution of specific-problems involved in'the steady flow of a
compressible fluid. This report, however, presents charts of a
general.nature that facilitate‘the solution of a large number of
problems concerning flow processes, which involve variable or constant
specific heats, friction, heat transfer, and combustion including a
change in mass flow and the accompanying change in momentum.

The application of the charts to the analysis of ideal adiabatic
steady flow in ducts of varying area is illustrated by sample computa-
tions of the flow in a convergent-divergent nozzle and in an under-
expanding Jet and by calculation of the total temperature of a fluid
from its measured Jet thrust.