Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Fluids
13 (2001), S. 1130-1140
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
The van der Waals driven rupture of a freely suspended thin viscous sheet is examined using a long-wavelength model. Dimensional analysis shows the possibility of first-type similarity solutions in which the dominant physical balance is between inertia, extensional viscous stresses and the van der Waals disjoining pressure, while surface tension is negligible. For both line rupture and point rupture the film thickness decreases like (t*−t)1/3 and the lateral length scale like (t*−t)1/2, where t*−t is the time remaining until rupture. In each geometry these scalings are confirmed by numerical simulations of the time-dependent behavior, and a discrete family of similarity solutions is found. The "lowest-order" mode in the family is the one selected by the time-dependent dynamics. © 2001 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.1359749
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