Effect of curvature modulation on Gortler vortices in boundary layers

The stability of a high-Reynolds-number flow over a curved surface with varying curvature is studied. The investigation is concentrated on spanwise-periodic vortices of wavelength comparable with the boundary layer thickness. Motivated by the amendment of Rayleigh's criterion (Hall,2013), the effect of wavy-wall modulation on Gortler vortices is addressed. Both linear and nonlinear investigations are performed to understand the destabilization and stabilization mechanisms of the vortices. Furthermore, due to the wavy-wall curvature modulation, the growth or decay rate of the vortices is discussed. Finally, a control strategy of the vortices is proposed based on distributing the curvature.