Parabolized stability analysis of chemically reacting boundary-layer flows in equilibrium conditions

Abstract

Stability of self-similar hypersonic flows over a flat plate in local thermodynamic equilibrium is studied by means of linear parabolized stability equations. A spectral collocation numerical method together with a finite-difference-based marching scheme are used to solve the equations, while the gas mixture and transport properties are computed with a table look-up procedure. High-temperature effects are found to destabilize the second-Mack-mode regardless of the adiabatic/isothermal wall condition considered. On the other hand, nonlocal effects show a Mach-dependence influence: stabilizing at lower Mach, while destabilizing at higher ones. Strong oscillations in the growth rate of perturbations in local thermodynamic equilibrium are found to be caused by damped supersonic modes.

Keywords

Hypersonics stability boundary layer parabolized stability equation local thermodynamic equilibrium supersonic modes

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