dorsal/arxiv
View SchemaEffective velocity boundary condition at a mixed slip surface
| Authors | M. Sbragaglia, A. Prosperetti |
|---|---|
| Categories | |
| ArXiv ID | physics/0607003 |
| URL | https://arxiv.org/abs/physics/0607003 |
| DOI | 10.1017/S0022112007005149 |
| Journal | J. Fluid Mech. 578, 435-451 (2007) |
Abstract
This paper studies the nature of the effective velocity boundary conditions for liquid flow over a plane boundary on which small free-slip islands are randomly distributed. It is found that, to lowest order in the area fraction $\beta$ covered by free-slip regions with characteristic size $a$, a macroscopic Navier-type slip condition emerges with a slip length of the order of $a\beta$. The study is motivated by recent experiments which suggest that gas nano-bubbles may form on solid walls and may be responsible for the appearance of a partial slip boundary conditions for liquid flow. The results are also relevant for ultra-hydrophobic surfaces exploiting the so-called ``lotus effect''.
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"abstract": "This paper studies the nature of the effective velocity boundary conditions\nfor liquid flow over a plane boundary on which small free-slip islands are\nrandomly distributed. It is found that, to lowest order in the area fraction\n$\\beta$ covered by free-slip regions with characteristic size $a$, a\nmacroscopic Navier-type slip condition emerges with a slip length of the order\nof $a\\beta$. The study is motivated by recent experiments which suggest that\ngas nano-bubbles may form on solid walls and may be responsible for the\nappearance of a partial slip boundary conditions for liquid flow. The results\nare also relevant for ultra-hydrophobic surfaces exploiting the so-called\n``lotus effect\u0027\u0027.",
"arxiv_id": "physics/0607003",
"authors": [
"M. Sbragaglia",
"A. Prosperetti"
],
"categories": [
"physics.flu-dyn",
"cond-mat.stat-mech",
"nlin.PS"
],
"doi": "10.1017/S0022112007005149",
"journal_ref": "J. Fluid Mech. 578, 435-451 (2007)",
"title": "Effective velocity boundary condition at a mixed slip surface",
"url": "https://arxiv.org/abs/physics/0607003"
},
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