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On the evolution of thin viscous jets: filament formation
Author(s) -
Fontelos Marco A.
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.489
Subject(s) - limit (mathematics) , viscosity , protein filament , mathematics , viscous liquid , initial value problem , classical mechanics , mechanics , mathematical analysis , statistical physics , physics , thermodynamics , materials science , composite material
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 → ∞) 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 © 2004 John Wiley & Sons, Ltd.