Parameter Variation in a Third Order Singular Boundary Value Problem

A third order non-linear boundary value problem that arises from the problem of boundary-layer flows of an incompressible non-Newtonian fluid modelled by a power-law rheology is considered. The shear stress parameter (curvature at the origin) is computed for different values of the power-law index n and different values of (the initial rates of change at the origin). The interrelationships between these parameters are examined and regions of linear/non-linear interaction/dependence are revealed.