SPATIAL CHAOS IN BOUNDARY-LAYER-TRANSITION

Experiments have been performed on a laminar flat plate boundary layer undergoing transition to turbulence. Reproducible disturbances were introduced via a loudspeaker embedded at some upstream location and their evolution over the plate measured using hot-wire anemometry. A new technique has been used to estimate the number of nonlinearly independent modes in the reconstructed phase portraits. Nonlinear maps were then fitted that explicitly model the spatial evolution of disturbances. These maps are consistent with classical linear stability theory for small disturbances, and give rise to 'Smale horse-shoe' like behaviour for larger amplitude disturbances. Thus a mechanism for generating chaos has been uncovered.