dorsal/arxiv
View SchemaA note on the stability of slip channel flows
| Authors | Eric Lauga, Carlo Cossu |
|---|---|
| Categories | |
| ArXiv ID | physics/0503225 |
| URL | https://arxiv.org/abs/physics/0503225 |
| DOI | 10.1063/1.2032267 |
| Journal | Phys. Fluids (2005) 17, 088106 |
Abstract
We consider the influence of slip boundary conditions on the modal and non-modal stability of pressure-driven channel flows. In accordance with previous results by Gersting (1974) (Phys. Fluids, 17) but in contradiction with the recent investigation of Chu (2004) (C.R. Mecanique, 332), we show that slip increases significantly the value of the critical Reynolds number for linear instability. The non-modal stability analysis however reveals that the slip has a very weak influence on the maximum transient energy growth of perturbations at subcritical Reynolds numbers. Slip boundary conditions are therefore not likely to have a significant effect on the transition to turbulence in channel flows.
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"abstract": "We consider the influence of slip boundary conditions on the modal and\nnon-modal stability of pressure-driven channel flows. In accordance with\nprevious results by Gersting (1974) (Phys. Fluids, 17) but in contradiction\nwith the recent investigation of Chu (2004) (C.R. Mecanique, 332), we show that\nslip increases significantly the value of the critical Reynolds number for\nlinear instability. The non-modal stability analysis however reveals that the\nslip has a very weak influence on the maximum transient energy growth of\nperturbations at subcritical Reynolds numbers. Slip boundary conditions are\ntherefore not likely to have a significant effect on the transition to\nturbulence in channel flows.",
"arxiv_id": "physics/0503225",
"authors": [
"Eric Lauga",
"Carlo Cossu"
],
"categories": [
"physics.flu-dyn",
"cond-mat.soft"
],
"doi": "10.1063/1.2032267",
"journal_ref": "Phys. Fluids (2005) 17, 088106",
"title": "A note on the stability of slip channel flows",
"url": "https://arxiv.org/abs/physics/0503225"
},
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