Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids
We investigate the evolution of the ridge produced by the convergent motion of two substrates, on which a layer of a non-Newtonian power-law liquid rests. We focus on the self-similar regimes that occur in this process. For short times, within the linear regime, the height and the width increase as...
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todo:paper_17426588_v166_n_p_Gratton2023-10-03T16:30:30Z Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids Gratton, J. Perazzo, C.A. We investigate the evolution of the ridge produced by the convergent motion of two substrates, on which a layer of a non-Newtonian power-law liquid rests. We focus on the self-similar regimes that occur in this process. For short times, within the linear regime, the height and the width increase as t 1/2, independently of the rheology of the liquid. In the self- similar regime for large time, the height and the width of the ridge follow power laws whose exponents depend on the rheological index. © 2009 IOP Publishing Ltd. Fil:Gratton, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Perazzo, C.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Gratton |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We investigate the evolution of the ridge produced by the convergent motion of two substrates, on which a layer of a non-Newtonian power-law liquid rests. We focus on the self-similar regimes that occur in this process. For short times, within the linear regime, the height and the width increase as t 1/2, independently of the rheology of the liquid. In the self- similar regime for large time, the height and the width of the ridge follow power laws whose exponents depend on the rheological index. © 2009 IOP Publishing Ltd. |
format |
CONF |
author |
Gratton, J. Perazzo, C.A. |
spellingShingle |
Gratton, J. Perazzo, C.A. Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids |
author_facet |
Gratton, J. Perazzo, C.A. |
author_sort |
Gratton, J. |
title |
Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids |
title_short |
Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids |
title_full |
Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids |
title_fullStr |
Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids |
title_full_unstemmed |
Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids |
title_sort |
self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids |
url |
http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Gratton |
work_keys_str_mv |
AT grattonj selfsimilarasymptoticsinconvergentviscousgravitycurrentsofnonnewtonianliquids AT perazzoca selfsimilarasymptoticsinconvergentviscousgravitycurrentsofnonnewtonianliquids |
_version_ |
1782031142387449856 |