TY - JOUR
T1 - A Simple Theory for the Two-Dimensional Compressible Turbulent Boundary Layer
PB - ASME
AU - White, F. M.
AU - Christoph, G. H.
Y1 - 1972/09/01
N1 - 10.1115/1.3425519
JO - Journal of Basic Engineering
SP - 636
EP - 642
VL - 94
IS - 3
N2 - A new approach is proposed for analyzing the compressible turbulent boundary layer with arbitrary pressure gradient. Utilizing a compressible law-of-the-wall and a Crocco energy approximation, the new theory integrates the momentum equation across the boundary layer in terms of inner variables only. The result is a single first-order ordinary differential equation for skin friction, devoid of integral thicknesses and shape factors. When analyzed for flat plate flow, this new equation has an exact solution apparently superior in accuracy to any other flat plate theory (Table 1). The new equation also agrees well with supersonic skin friction data in both favorable and adverse pressure gradients. The new theory contains an explicit separation criterion and is the simplest and possibly most accurate existing analysis for compressible turbulent flow.
SN - 0098-2202
M3 - doi: 10.1115/1.3425519
UR - http://dx.doi.org/10.1115/1.3425519
ER -