Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary

Abstract : We consider a non-Newtonian fluid flow in a thin domain with thickness η ε 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 (η ε ≈ ε), Reynolds roughness (η ε ε) and high-frequency roughness (η ε ε) regime. Moreover, we obtain different nonlinear Reynolds type equations in each case.
Complete list of metadatas

Cited literature [29 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01665760
Contributor : María Anguiano <>
Submitted on : Saturday, December 16, 2017 - 7:38:39 PM
Last modification on : Wednesday, January 3, 2018 - 1:03:48 AM

File

Anguiano_SuarezGrau.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01665760, version 1

Collections

Citation

María Anguiano, Francisco J. Suárez-Grau. Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary. 2017. ⟨hal-01665760⟩

Share

Metrics

Record views

355

Files downloads

127