Article
Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary
Author/s | Anguiano Moreno, María
![]() ![]() ![]() ![]() ![]() ![]() ![]() Suárez Grau, Francisco Javier ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Análisis Matemático Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2019 |
Deposit Date | 2019-02-19 |
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Abstract | 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 ... 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 < p < +∞. We consider the limit when the thickness tends to zero and we prove that the three characteristic regimes for Newtonian fluids are still valid for non-Newtonian fluids, i.e. Stokes roughness (ηε ≈ ε), Reynolds roughness (ηε << ε) and high-frequency roughness (ηε >> ε) regime. Moreover, we obtain different nonlinear Reynolds-type equations in each case. |
Funding agencies | Junta de Andalucía Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | P12-FQM-2466
![]() MTM2014-53309-P ![]() |
Citation | Anguiano Moreno, M. y Suárez Grau, F.J. (2019). Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary. IMA Journal of Applied Mathematics, 84 (1), 63-95. |
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