Derivation of the Navier slip and slip length for viscous flows over a rough boundary
| Autor: | Silvia Jiménez Bolaños, Bogdan Vernescu |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Mechanical Engineering Computation Computational Mechanics Nanofluidics 02 engineering and technology Slip (materials science) Surface finish Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Homogenization (chemistry) 010305 fluids & plasmas Physics::Fluid Dynamics Boundary layer Classical mechanics Mechanics of Materials Rough surface 0103 physical sciences Boundary value problem 0210 nano-technology |
| Zdroj: | Physics of Fluids. 29:057103 |
| ISSN: | 1089-7666 1070-6631 |
| Popis: | In this paper, we derive the Navier slip boundary condition for flows over a rough surface, by combining homogenization methods and boundary layer techniques. The Navier slip condition is derived as the effective boundary condition, in the limit as the roughness becomes small; it is the first order corrector to the no-slip condition on the limiting smooth surface. Using this method, we are simultaneously able to provide a formula for computing the slip length for various geometries. The paper provides a theoretical justification for the observed slip in micro- or nanofluidics, as well as a computational tool. Computations done using FreeFem++ agree with experimental data. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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