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The generation, nonlinear evolution, and wall-transpiration control of unsteady Gortler vortices in an incompressible boundary layer over a concave plate is studied theoretically and numerically. Gortler rolls are initiated and driven by free-stream vortical perturbations of which only the low-frequency components are considered because they penetrate the most into the boundary layer. The formation and development of the disturbances are governed by the nonlinear unsteady boundary-region equations with the centrifugal force included. These equations are subject to appropriate initial and outer boundary conditions, which account for the influence of the upstream and free-stream forcing in a rigorous and mutually consistent manner. Numerical solutions show that the stabilizing effect on nonlinearity, which also occurs in flat-plate boundary layers, is significantly enhanced in the presence of centrifugal forces. Sufficiently downstream, the nonlinear vortices excited at different free-stream turbulence inte...

Growth and wall-transpiration control of nonlinear unsteady Görtler vortices forced by free-stream vortical disturbances