AXISYMMETRIC LAMINAR BOUNDARY LAYERS WITH VERY LARGE TRANSVERSE CURVATURE.
NAVAL ORDNANCE LAB WHITE OAK MD
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The compressible axisymmetric laminar boundary layer is considered for very large values of the transverse curvature parameter roughly proportional to the ratio of the Mangler value of the boundary layer displacement thickness to the local cross-sectional radius of the body. Asymptotic expansions are constructed using the method of inner-outer expansions and verified by comparison with exact numerical similarity solutions. Both finite and hypersonic Mach number inviscid flow conditions are considered. The principal results are asymptotic formulas for skin friction, heat transfer, and boundary layer displacement thickness. Existing expansions, obtained by Wei, are found to be incorrect. The viscous pressure interaction near the vertex of a pointed axisymmetric body is treated within the framework of boundary layer theory and a tangent-cone approximation. Author
- Fluid Mechanics