An approximate solution of the turbulent boundary layer equations in incompressible and compressible flow

摘要

If over the ‘outer’ region/ of the boundary layer, where the meanvelocity varies but little from its value outside the shear layer, a virtualeddy viscosity is defined, which is constant over the outer region butvaries in the direction of the mainstream, a solution of the turbulentboundary layer equations can be found which satisfies the appropriateboundary conditions. The solution leads to a compatibility condition for the virtual eddy viscosity in terms of the wall shear stress, theboundary layer momentum thickness and the mainstream velocity, at least for the case of a constant external velocity. [...cont.]