The Analysis of Nonequilibrium, Chemically Reacting, Supersonic Flow in Three Dimensions. Volume I. Theoretical Development and Results

A second-order numerical method of characteristics was used to solve the equations of motion for three-dimensional, steady, supersonic, nonequilibrium, chemically reacting flow of a system of thermally perfect gases in an exhaust nozzle. A production type computer program which is capable of solving...

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Bibliographic Details
Main Authors: Cline,Michael C, Hoffman,Joe D
Format: Report
Language:English
Subjects:
ALGORITHMS
COMPUTER AIDED ANALYSIS
COMPUTER PROGRAMMING
COMPUTERIZED SIMULATION
DISSOCIATION
EQUATIONS OF MOTION
EXCHANGE REACTIONS
FLOW FIELDS
Fluid Mechanics
Jet and Gas Turbine Engines
NONEQUILIBRIUM FLOW
NOZZLE GAS FLOW
REACTION KINETICS
RECOMBINATION REACTIONS
SUPERSONIC COMBUSTION RAMJET ENGINES
SUPERSONIC NOZZLES
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Summary:A second-order numerical method of characteristics was used to solve the equations of motion for three-dimensional, steady, supersonic, nonequilibrium, chemically reacting flow of a system of thermally perfect gases in an exhaust nozzle. A production type computer program which is capable of solving a wide variety of supersonic nozzle problems was developed for the CDC-6500 computer. A bicharacteristic method of characteristics due to D.S. Butler and a special implicit method for the species continuity equations were employed. The chemical kinetic model considers 19 species formed from the 6 elements--carbon, hydrogen, ocygen, nitrogen, flourine and chlorine--and 48 chemical reactions (13 dissociation-recombination reactions and 35 binary exchange reactions). In addition to the nonequilibrium chemistry model, the program also considers frozen and equilibrium flows, and flows with constant specific heat ratios. The absolute accuracy and order of accuracy of the method was shown by comparing the computed solution for spherical source flow with the exact solution for isentropic flow, and by comparing the computed solution for an axisymmetric, nonequilibrium flow with the results of an existing two-dimensional method. (Author)