On the positive self-similar solutions of the boundary-layer wedge flow problem of a power-law fluid
摘要
We first study the existence and uniqueness of a positive self-similar solution of the 2D boundary-layer equations of an incompressible viscous power-law fluid when the external flow is accelerating, and then we derive the bounds of the wall shear stress rate. For shear-thickening fluids, we show that the matching with the external flow occurs at a finite distance. Furthermore, we also investigate the asymptotic behaviour at infinity of positive solutions in the case of shear-thinning fluids.