Summary
This paper deals with interactions between shock waves and laminar boundary layers on flat plates with heat transfer. In order to describe this phenomenon the boundary layer is divided into inner viscous layer and outer inviscid layer after Gadd. The boundary layer approximations are assumed to remain valid in the inner layer and the momentum integral equation for the layer is utilized instead of the Pohlhausen's wall condition. In the outer inviscid layer the motion is described by Euler's equation in terms of the isobar coordinates and the deflection angle is determined to match with that at the outer edge of the inner layer. The present theory predicts that self-induced separation does occur for highly cooled wall and yields results in good agreement with the measurement of Lewis et al.
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Igarashi, S., Honda, M. & Onodera, K. Analysis of interactions between shock waves and laminar boundary layers with heat transfer. Acta Mechanica 73, 221–230 (1988). https://doi.org/10.1007/BF01177041
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DOI: https://doi.org/10.1007/BF01177041