Nonparallel Flow Effects on Roughness-Induced Perturbations in Boundary Layers

摘要: A = perturbation function vector eigenfunction of the direct problem a height roughness element B adjoint F frequency parameter, ! e= eU e f x; z shape k parameter continuous spectrum Lj,Hj 16 matrices Lz spanwise period roughness-element array lx streamwise length scale lz M Mach number Pr Prandtl Re Reynolds T temperature t time U velocity u V vertical v normal w X slow coordinate, x distance from leading edge x0 to y coordinate wall wave specific heats ratio width narrow-wave packet " small scaled with ex= eUe 1=2 receptivity efficiency viscosity pressure density ’ Fourier transform angular