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Published September 2021 | Accepted Version
Journal Article Open

Spatially developing supersonic turbulent boundary layer subjected to static surface deformations


The effects of static surface deformations on a spatially developing supersonic boundary layer flow at Mach number M=4 and Reynolds number Reδ_(in) ≈ 49300, based on inflow boundary layer thickness (δin), are analyzed by performing large eddy simulations. Two low-order structural modes of a rectangular clamped surface panel of dimensions ≈33δ_(in) × 48δ_(in) are prescribed with modal amplitudes of δ_(in). The effects of these surface deformations are examined on the boundary layer, including changes in the mean properties, thermal and compressibility effects and turbulence structure. The results are analyzed in the context of deviations from concepts typically derived and employed for equilibrium turbulence. The surface deflections, to some degree, modify the correlations that govern both Morkovin's hypothesis and strong Reynolds analogy away from the wall, whereas in the near-wall region both the hypotheses breakdown. Modifications to the turbulence structure due to the surface deformations are elucidated by means of the wall pressure two-point correlations and anisotropy invariant maps. In addition to the amplification of turbulence, such surface deformations lead to local flow separation, instigating low-frequency unsteadiness. One consequence of significance to practical design is the presence of low frequency unsteadiness similar to that encountered in impinging or ramp shock boundary layer interactions.

Additional Information

© 2021 Elsevier Masson SAS. Received 10 February 2021, Revised 24 June 2021, Accepted 6 July 2021, Available online 16 July 2021. The authors express gratitude to the Air Force Office of Scientific Research (AFOSR) (Monitor: Dr. S. Popkin) and the Collaborative Center for Aeronautical Sciences (CCAS). This material is based on research partially sponsored by the U.S. Air Force under agreement number FA865019-2-2204. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purposes notwithstanding any copyright notation thereon. The simulations were performed with grants of computer time from the DoD HPCMP and the Ohio Supercomputer Center. Some figures have been made with complimentary licenses of FieldView obtained from Intelligent Light under the University Partners Program. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Accepted Version - 1-s2.0-S0997754621001011-main_acc.pdf


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