Self-similar asymptotics in non-symmetrical convergent viscous gravity currents

We investigate the evolution of the ridge produced by the non-symmetrical convergent motion of two substrates over which an initially uniform layer of a Newtonian liquid rests. The lack of symmetry of the flow arises because the substrates move with different velocities. We focus on the self-similar...

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Autores principales: Perazzo, Carlos Alberto, Gratton, Julio
Publicado: 2009
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v166_n_p_Perazzo
http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Perazzo
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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_Perazzo2023-06-08T16:27:12Z Self-similar asymptotics in non-symmetrical convergent viscous gravity currents Perazzo, Carlos Alberto Gratton, Julio We investigate the evolution of the ridge produced by the non-symmetrical convergent motion of two substrates over which an initially uniform layer of a Newtonian liquid rests. The lack of symmetry of the flow arises because the substrates move with different velocities. 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 t1/2 and the profile is symmetric, independently of degree of asymmetry of the motion of the substrates. In the self-similar regime for large time, the height and the width of the ridge follow the same power laws as in the symmetric case, but the profiles are asymmetric. © 2009 IOP Publishing Ltd. Fil:Perazzo, C.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gratton, J. 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_Perazzo http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Perazzo
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 non-symmetrical convergent motion of two substrates over which an initially uniform layer of a Newtonian liquid rests. The lack of symmetry of the flow arises because the substrates move with different velocities. 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 t1/2 and the profile is symmetric, independently of degree of asymmetry of the motion of the substrates. In the self-similar regime for large time, the height and the width of the ridge follow the same power laws as in the symmetric case, but the profiles are asymmetric. © 2009 IOP Publishing Ltd.
author Perazzo, Carlos Alberto
Gratton, Julio
spellingShingle Perazzo, Carlos Alberto
Gratton, Julio
Self-similar asymptotics in non-symmetrical convergent viscous gravity currents
author_facet Perazzo, Carlos Alberto
Gratton, Julio
author_sort Perazzo, Carlos Alberto
title Self-similar asymptotics in non-symmetrical convergent viscous gravity currents
title_short Self-similar asymptotics in non-symmetrical convergent viscous gravity currents
title_full Self-similar asymptotics in non-symmetrical convergent viscous gravity currents
title_fullStr Self-similar asymptotics in non-symmetrical convergent viscous gravity currents
title_full_unstemmed Self-similar asymptotics in non-symmetrical convergent viscous gravity currents
title_sort self-similar asymptotics in non-symmetrical convergent viscous gravity currents
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v166_n_p_Perazzo
http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Perazzo
work_keys_str_mv AT perazzocarlosalberto selfsimilarasymptoticsinnonsymmetricalconvergentviscousgravitycurrents
AT grattonjulio selfsimilarasymptoticsinnonsymmetricalconvergentviscousgravitycurrents
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