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Boundary Layer for a Non-Newtonian Flow Over a Rough Surface

Boundary Layer for a Non-Newtonian Flow Over a Rough Surface

We analyze how small irregularities of a solid wall affect the steady flow of a non-Newtonian fluid. We consider the generalized Stokes system for power-law type fluids, with no-slip boundary conditions. Irregularities are modeled by small periodic variations of the boundary surface, described by a small parameter. We derive an …