Applied Mathematics and Mechanics >
Near-wall behaviors of oblique-shock-wave/turbulent-boundary-layer interactions
Received date: 2017-01-13
Revised date: 2017-03-04
Online published: 2017-10-01
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 11472189 and 11332007)
A direct numerical simulation (DNS) on an oblique shock wave with an incident angle of 33.2° impinging on a Mach 2.25 supersonic turbulent boundary layer is performed. The numerical results are confirmed to be of high accuracy by comparison with the reference data. Particular efforts have been made on the investigation of the near-wall behaviors in the interaction region, where the pressure gradient is so significant that a certain separation zone emerges. It is found that, the traditional linear and logarithmic laws, which describe the mean-velocity profiles in the viscous and meso sublayers, respectively, cease to be valid in the neighborhood of the interaction region, and two new laws of the wall are proposed by elevating the pressure gradient to the leading order. The new laws are inspired by the analysis on the incompressible separation flows, while the compressibility is additionally taken into account. It is verified by the DNS results that the new laws are adequate to reproduce the mean-velocity profiles both inside and outside the interaction region. Moreover, the normalization adopted in the new laws is able to regularize the Reynolds stress into an almost universal distribution even with a salient adverse pressure gradient (APG).
Mingsheng YE, Ming DONG . Near-wall behaviors of oblique-shock-wave/turbulent-boundary-layer interactions[J]. Applied Mathematics and Mechanics, 2017 , 38(10) : 1357 -1376 . DOI: 10.1007/s10483-017-2248-6
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