dorsal/arxiv
View SchemaFingering Instability in a Water-Sand Mixture
| Authors | A. Lange, M. Schröter, M. A. Scherer, A. Engel, I. Rehberg |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9706004 |
| URL | https://arxiv.org/abs/patt-sol/9706004 |
| DOI | 10.1007/s100510050405 |
| Journal | Eur. Phys. J. B, 4 (1998) 475 |
Abstract
The temporal evolution of a water-sand interface driven by gravity is experimentally investigated. By means of a Fourier analysis of the evolving interface the growth rates are determined for the different modes appearing in the developing front. To model the observed behavior we apply the idea of the Rayleigh-Taylor instability for two stratified fluids. Carrying out a linear stability analysis we calculate the growth rates from the corresponding dispersion relations for finite and infinite cell sizes. Based on the theoretical results the viscosity of the suspension is estimated to be approximately 100 times higher than that of pure water, in agreement with other experimental findings.
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"abstract": "The temporal evolution of a water-sand interface driven by gravity is\nexperimentally investigated. By means of a Fourier analysis of the evolving\ninterface the growth rates are determined for the different modes appearing in\nthe developing front. To model the observed behavior we apply the idea of the\nRayleigh-Taylor instability for two stratified fluids. Carrying out a linear\nstability analysis we calculate the growth rates from the corresponding\ndispersion relations for finite and infinite cell sizes. Based on the\ntheoretical results the viscosity of the suspension is estimated to be\napproximately 100 times higher than that of pure water, in agreement with other\nexperimental findings.",
"arxiv_id": "patt-sol/9706004",
"authors": [
"A. Lange",
"M. Schr\u00f6ter",
"M. A. Scherer",
"A. Engel",
"I. Rehberg"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1007/s100510050405",
"journal_ref": "Eur. Phys. J. B, 4 (1998) 475",
"title": "Fingering Instability in a Water-Sand Mixture",
"url": "https://arxiv.org/abs/patt-sol/9706004"
},
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