A theoretical, high Reynolds number, investigation into the combined influence of surface cooling and curvature on the stability and transition properties of a compressible axisymmetric boundary-layer is presented. Here we consider the boundary-layer flow along a semi-infinite circular cylinder where the temperature of the cylinder surface is kept significantly below the free-stream temperature and the cylinder radius is comparable with the boundary-layer thickness. Here we concentrate on linear, viscous-inviscid interactive Tollmien-Schlichting modes, rather than the inviscid, inflectional kind.
Elliott, J. W., & Strange, M. E. (2000). Viscous-inviscid interactions for surface-cooled axisymmetric boundary-layer flows. International Journal of Applied Mechanics and Engineering, 5(4), 923 - 957