Effects of longitudinal curvature, vorticity and displacement for two-dimensional turbulent boundary layers with heat and mass transfer

A general theory for two-dimensional turbulent boundary-layers on curved surfaces with heat and mass transfer is formulated, when the oncoming stream contains vorticity and enthalpy gradient. The present work employs the method of matched asymptotic expansions and deals with under-determined equations of mean motion. The analysis shows that in presence of mass transfer even the lowest-order solution of turbulent boundary-layer is global in nature, because of an induced pressure gradient and tangential velocity by displacement of basic indiviscid solution by the outer layer. Further, it is shown that the wall (inner) layer is affected by mass transfer, while the defect (outer) layer by mass transfer, displacement, curvature, vorticity and enthalpy gradient. In the overlap regions of inner and outer layers, the matching leads to logarithmic laws, whose constants depend upon the parameters of the problems.