In this study we consider the boundary-layer flow of an inelastic non-Newtonian fluid over an
inclined flat plate. Using two popular generalised Newtonian models we determine base flow profiles
and associated linear stability results for a range shear-thinning fluids. In addition to neutral stability
curves we also present results concerning the linear growth of the Tollmien-Schlichting waves as they
propagate downstream. Furthermore, to gain an insight into the underlying physical mechanisms
affecting the destabilisation of the disturbances, an integral energy equation is derived and energy
calculations are presented. Results from all three analyses suggest that the effect of shear-thinning will
act to stabilise the boundary-layer flow. Consequently, it can be argued that the addition of shear-thinning
agents could act as a passive control mechanism for flows of this nature
