Effect of streamwise surface undulations on the nonlinear stability of crossflow instabilities
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Abstract
The nonlinear stability of three-dimensional boundary layers over various undulated surfaces was calculated using the generalized Nonlinear Parabolized Stability Equations (NPSE). The results are compared with a flat plate configuration to assess the effect of the undulation shape on the stability of the boundary layer. It was found that the effect of surface undulations is significant and should not be ignored when performing stability analysis. All undulation shapes considered in this work showed a destabilization of the primary mode and the associated harmonics. The stability of the boundary layer was directly affected by the amplitude of the undulations, while their respective shape did not meaningfully affect the evolution of the crossflow instabilities within the parameter range considered in this work.