Self-similar solution of the second kind for a convergent viscous gravity current
The axisymmetric flow of a very viscous fluid toward a central orifice is studied. In a recent paper, a self-similar solution for this problem has been found. The self-similarity is of the second kind and hence the flow remembers its initial condition only through a nondimensional constant which cha...
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1992
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08998213_v4_n6_p1148_Diez http://hdl.handle.net/20.500.12110/paper_08998213_v4_n6_p1148_Diez |
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paper:paper_08998213_v4_n6_p1148_Diez |
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paper:paper_08998213_v4_n6_p1148_Diez2023-06-08T15:49:30Z Self-similar solution of the second kind for a convergent viscous gravity current The axisymmetric flow of a very viscous fluid toward a central orifice is studied. In a recent paper, a self-similar solution for this problem has been found. The self-similarity is of the second kind and hence the flow remembers its initial condition only through a nondimensional constant which characterizes it. In this work this convergent flow is studied experimentally (using silicone oils) by measuring the front position and the height profile as a function of time. It is verified that the self-similar solution properly describes the flow within a certain interval of the cavity radius, where values are obtained for the similarity exponent δ in agreement (accounting for experimental errors) with the theoretical value 0.762... . The transition to the self-similar flow is also simulated numerically and numerical values are obtained for the time closure for different initial conditions. These simulations also show the theoretical self-similar flow after the cavity closure, which is very difficult to observe experimentally. © 1992 American Institute of Physics. 1992 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08998213_v4_n6_p1148_Diez http://hdl.handle.net/20.500.12110/paper_08998213_v4_n6_p1148_Diez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
The axisymmetric flow of a very viscous fluid toward a central orifice is studied. In a recent paper, a self-similar solution for this problem has been found. The self-similarity is of the second kind and hence the flow remembers its initial condition only through a nondimensional constant which characterizes it. In this work this convergent flow is studied experimentally (using silicone oils) by measuring the front position and the height profile as a function of time. It is verified that the self-similar solution properly describes the flow within a certain interval of the cavity radius, where values are obtained for the similarity exponent δ in agreement (accounting for experimental errors) with the theoretical value 0.762... . The transition to the self-similar flow is also simulated numerically and numerical values are obtained for the time closure for different initial conditions. These simulations also show the theoretical self-similar flow after the cavity closure, which is very difficult to observe experimentally. © 1992 American Institute of Physics. |
| title |
Self-similar solution of the second kind for a convergent viscous gravity current |
| spellingShingle |
Self-similar solution of the second kind for a convergent viscous gravity current |
| title_short |
Self-similar solution of the second kind for a convergent viscous gravity current |
| title_full |
Self-similar solution of the second kind for a convergent viscous gravity current |
| title_fullStr |
Self-similar solution of the second kind for a convergent viscous gravity current |
| title_full_unstemmed |
Self-similar solution of the second kind for a convergent viscous gravity current |
| title_sort |
self-similar solution of the second kind for a convergent viscous gravity current |
| publishDate |
1992 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08998213_v4_n6_p1148_Diez http://hdl.handle.net/20.500.12110/paper_08998213_v4_n6_p1148_Diez |
| _version_ |
1768543235417833472 |