Mass transfer into boundary layers for power law fluids

Abstract

The boundary layer equations for the class of non-Newtonian fluids having the shear stress proportional to a power of the strain rate are considered under conditions of similarity-preserving mass transfer at the wall. The adoption of Crocco variables results in a nonlinear, two point boundary value problem for which existence, uniqueness and analyticity are established. In the case of mass injection particular attention is paid to boundary conditions corresponding to the vanishing of the wall friction and values for the (possibly non-existent) critical injection rates are exhibited.