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On the evolution of thin viscous jets: filament formation

✍ Scribed by Marco A. Fontelos


Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
183 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

In this paper, we have studied the evolution of thin fluid jets, paying special attention on the limit of very large viscosity. Local well‐posedness of the one‐dimensional system describing this evolution as well as the existence of break‐up (at least as t β†’ ∞) under quite general conditions is proved. In addition, we have proved the well‐known experimental fact that in the limits of very large viscosities the solutions develop very long and thin filaments previous to break‐up and a complete detailed description of their structure is given. Copyright Β© 2004 John Wiley & Sons, Ltd.


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