Transformation of a laterally diverging boundary layer flow to a two-dimensional boundary layer flow

Abstract

Laterally diverging boundary layer flow over a plate is shown to be reducible to a two-dimensional flow by modelling the diverging streamlines by a source flow.

An extension of Mangler transformation to a 3-D problem

“…This transformation is also useful in turbulent boundary layer flow over a body of revolution (Cebeci & Bradshaw 1968). Another application of this transformation is in the reduction of a laterally strained boundary layer to the Blasius flow (Ramesh et al 1997). In this case the span-wise velocity is zero along a streamline but its non-zero span-wise gradient appears as a source/sink term in the contunuity equation (Schlichting 1968).…”