Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary
María Anguiano, Francisco J. Suárez‐Grau · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · 2019
We consider a non-Newtonian fluid flow in a thin domain with thickness ηε and an oscillating top boundary of period ε. The flow is described by the 3D incompressible Navier-Stokes system with a nonlinear viscosity, being a power of the shear rate (power law) of flow index p, with 9/5 > ε) regime. Moreover, we obtain different nonlinear Reynolds-type equations in each case.