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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Autores principales: Gratton, Julio, Perazzo, Carlos Alberto
Publicado: 2009
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v166_n_p_Gratton
http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Gratton
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_17426588_v166_n_p_Gratton2023-06-08T16:27:11Z Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids Gratton, Julio Perazzo, Carlos Alberto 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. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v166_n_p_Gratton http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Gratton
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection 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.
author Gratton, Julio
Perazzo, Carlos Alberto
spellingShingle Gratton, Julio
Perazzo, Carlos Alberto
Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids
author_facet Gratton, Julio
Perazzo, Carlos Alberto
author_sort Gratton, Julio
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
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v166_n_p_Gratton
http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Gratton
work_keys_str_mv AT grattonjulio selfsimilarasymptoticsinconvergentviscousgravitycurrentsofnonnewtonianliquids
AT perazzocarlosalberto selfsimilarasymptoticsinconvergentviscousgravitycurrentsofnonnewtonianliquids
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