Optimal perturbations and transition in the magnetohydrodynamic boundary layer under the influence of a spanwise magnetic field

Many shear flows exhibit laminar to turbulent transitions at subcritical Reynolds numbers. In this context, the computation of perturbations that largest possible transient growth is central interest as it often sheds light on actual bypass transition route. work, we consider effect a spanwise magnetic field in boundary layer flow liquid metal over an electrically insulating flat plate. We compute optimal using non-modal theory and perform parametric study measure influence their amplification orientation with respect direction. also direct numerical simulations examine how evolve nonlinear regime. To assess development, both constant Blasius base profile growing profile. show properties are not significantly affected by choice profile, whereas has more important impact evolution