Kornfeld, M., & Kluwick, A. (2010). Weakly 3D Transonic Flows in Narrow Channels. Proceedings in Applied Mathematics and Mechanics, 10(1), 469–470. https://doi.org/10.1002/pamm.201010227
Steady transonic flows through channels so slender that the classical boundary layer approach fails are considered. The resulting viscous inviscid interaction problem for weakly three-dimensional laminar flows is formulated for perfect gases under the requirement that the channel is sufficiently narrow so that the flow outside the viscous wall layers becomes two-dimensional in the leading order approximation. The behavior of the flow upstream of a surface mounted three-dimensional obstacle will be demonstrated.
