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.
