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Similitude for Normal Shock Waves in Non-Equilibrium Flows

Report Number: AFFDL TR 65-91
Author(s): R. E. Thomas, D. Brooke, S. L. Petrie
Corporate Author: The Ohio State University Research Foundation
Laboratory: Air Force Flight Dynamics Laboratory
Date of Publication: 1965-10
Pages: 50
Contract: AF 33(657)-10416
Project: 1426
Task: 142604
AD Number: AD0627031

Similarity parameters are developed which govern the length of nonequilibrium zones behind normal shock waves. Non-equilibrium effects produced by both vibrational relaxation and dissociation are considered. The parameters can also account for arbitrary levels of free-stream vibrational energy or dissociation level. The validity of the parameters is examined using numerical computations of the properties of the non-equilibrium fields. These computations are made with the aid of experimentally based rate expressions. The parameters, when written in a form describing the variation of non-equilibrium zone length with Mach number, are shown to have acceptable accuracy.

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