dorsal/arxiv
View SchemaInviscid coalescence of drops
| Authors | L. Duchemin, J. Eggers, C. Josserand |
|---|---|
| Categories | |
| ArXiv ID | physics/0212075 |
| URL | https://arxiv.org/abs/physics/0212075 |
| DOI | 10.1017/S0022112003004646 |
Abstract
We study the coalescence of two drops of an ideal fluid driven by surface tension. The velocity of approach is taken to be zero and the dynamical effect of the outer fluid (usually air) is neglected. Our approximation is expected to be valid on scales larger than $\ell_{\nu} = \rho\nu^2/\sigma$, which is $10 nm$ for water. Using a high-precision boundary integral method, we show that the walls of the thin retracting sheet of air between the drops reconnect in finite time to form a toroidal enclosure. After the initial reconnection, retraction starts again, leading to a rapid sequence of enclosures. Averaging over the discrete events, we find the minimum radius of the liquid bridge connecting the two drops to scale like $r_b \propto t^{1/2}$.
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"abstract": "We study the coalescence of two drops of an ideal fluid driven by surface\ntension. The velocity of approach is taken to be zero and the dynamical effect\nof the outer fluid (usually air) is neglected. Our approximation is expected to\nbe valid on scales larger than $\\ell_{\\nu} = \\rho\\nu^2/\\sigma$, which is $10\nnm$ for water. Using a high-precision boundary integral method, we show that\nthe walls of the thin retracting sheet of air between the drops reconnect in\nfinite time to form a toroidal enclosure. After the initial reconnection,\nretraction starts again, leading to a rapid sequence of enclosures. Averaging\nover the discrete events, we find the minimum radius of the liquid bridge\nconnecting the two drops to scale like $r_b \\propto t^{1/2}$.",
"arxiv_id": "physics/0212075",
"authors": [
"L. Duchemin",
"J. Eggers",
"C. Josserand"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1017/S0022112003004646",
"title": "Inviscid coalescence of drops",
"url": "https://arxiv.org/abs/physics/0212075"
},
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