Linking supersonic boundary layer separation to structural deformation using the Karman-Pohlhausen momentum-integral equation

A first-order link between local separation of supersonic turbulent boundary layer flow and structural deformation is established. First, mathematical analysis of the Karman-Pohlhausen momentum integral equation is carried out with the assumption of spatially varying surface topology in order to identify fluid-centric representations of structural deformation. Next, a data-driven approach is used to identify the dominant fluid-centric parameters. This ultimately yields a simple linear correlation between local skin friction coefficient and surface curvature, which is the unifying parameter relating deformation and separation. This link represents a key step toward deep understanding of the nuanced interplay between turbulent boundary layers and structural deformation and significantly improves fundamental understanding of fluid-structure interaction problems with prominent turbulent boundary layer dynamics. Published under an exclusive license by AIP Publishing.

Automated summary

This study establishes a first-order link between local separation of supersonic turbulent boundary layer flow and structural deformation. Through mathematical analysis and a data-driven approach, a simple linear correlation between local skin friction coefficient and surface curvature is discovered, serving as the unifying parameter relating deformation and separation. This research deepens the understanding of the nuanced interplay between turbulent boundary layers and structural deformation, significantly improving fundamental understanding of fluid-structure interaction problems with prominent turbulent boundary layer dynamics.