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.
Documento: | Artículo |
Título: | Self-similar solution of the second kind for a convergent viscous gravity current |
Autor: | Diez, J.A.; Gratton, R.; Gratton, J. |
Filiación: | Instituto de Física Arroyo Seco, Facultad de Ciencias Exactas, Universidad Nacional del Centro de la Provincia de Buenos Aires, Pinto 399, 7000 Tondil, Argentina Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET, Argentina) |
Año: | 1992 |
Volumen: | 4 |
Número: | 6 |
Página de inicio: | 1148 |
Página de fin: | 1155 |
DOI: | http://dx.doi.org/10.1063/1.858233 |
Título revista: | Physics of Fluids A |
ISSN: | 08998213 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08998213_v4_n6_p1148_Diez |