DNS Study for the Origin of the Chaos in Late Boundary Layer Transition

Manoj Thapa, Ping Lu, Chaoqun Liu

Abstract


This paper is devoted to the investigation of the origin and mechanism of chaos in late boundary layer transition over a flat plate without pressure gradient. The chaotic flow not only exists at the last stage of flow transition but also in turbulence flow. According to existing theory, the formation of such kind of chaos was considered due to big background noise and non-periodic boundary condition in spanwise direction. It was assumed that the large ring structure is first affected by background noises and then the change of large ring structure affects the small length scale quickly, which directly leads to chaos and finally formation of turbulence. However, by careful analysis of our high order DNS results, we believe that the internal instability of multiple ring cycles structure triggered by overlapping of these cycles is the main reason.Furthermore, A significant asymmetric phenomenon is originated from the second cycle in middle of both streamwise and spanwise direction when third cycle overlaps first and second cycles. The chaotic phenomenon spreads to the top level through an important process known as ``ejections" which carries low speed fluid from bottom to top. Eventually,the whole flow domain becomes asymmetric and chaotic.

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