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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Perazzo |
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todo:paper_17426588_v166_n_p_Perazzo2023-10-03T16:30:30Z Self-similar asymptotics in non-symmetrical convergent viscous gravity currents Perazzo, C.A. Gratton, J. 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. 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_Perazzo |
| 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 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. |
| format |
CONF |
| author |
Perazzo, C.A. Gratton, J. |
| spellingShingle |
Perazzo, C.A. Gratton, J. Self-similar asymptotics in non-symmetrical convergent viscous gravity currents |
| author_facet |
Perazzo, C.A. Gratton, J. |
| author_sort |
Perazzo, C.A. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Perazzo |
| work_keys_str_mv |
AT perazzoca selfsimilarasymptoticsinnonsymmetricalconvergentviscousgravitycurrents AT grattonj selfsimilarasymptoticsinnonsymmetricalconvergentviscousgravitycurrents |
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1782023508234076160 |