Bandwidth Effects on Mack-Mode Instability
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abstract
Hypersonic Mack-mode instability on the Purdue compression cone is investigated by means of the nonlinear parabolized stability equations method. To date, most nonlinear stability analyses have considered a single frequency primary mode, however experimental observations find a finite-bandwidth of disturbances. To determine the affects of disturbance bandwidth on Mack-mode stability, the nonlinear evolution of different numbers of primary Mack-modes is considered. It is found that disturbance bandwidth has a negative feedback affect, suppressing the growth of the primary Mack-modes. A novel methodology is introduced to isolate nonlinear saturation affects from other nonlinear mechanisms. In addition to nonlinear saturation, a separate mechanism, nonlinear detuning, is found to have a significant influence on Mach-mode growth. These results will impact the development of laminar flow control schemes at hypersonic speeds.