Sensitivity of Second-Mode Linear Stability to Constitutive Models within Hypersonic Flow
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The goal of this investigation is to evaluate the sensitivity of second-mode growth to changes (within accepted uncertainties) in thermodynamic, reaction-rate, and transport models. The geometry considered in this investigation is a 0.5-mm radius spherically blunted right-circular cone, with a half-angle of 21°. The free-stream conditions are representative of flight through the upper atmosphere at Mach 13.5. Accordingly, the thermodynamics and transport properties are considered using a chemical non-equilibrium framework. Five cases are run: a baseline case, a case using different models for the species' specific-heats, a case using a different transport model, and two cases with adjusted reaction-rates for the dissociation of oxygen. Following second-mode theory, particular attention is paid to the thermal boundary-layer profiles for the basic state. The largest change in these thermal profiles is noted for the case where a different transport model is used. Consistent with theory, the magnitude of change in the second-mode stability results correlates strongly with changes in the basic-state thermal boundary-layer profile. The largest change in the stability behavior is observed for the case where the transport model is changed. Copyright © 2005 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
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