Discrete self-similarity in the formation of satellites for viscous cavity break up

Document Type

Article

Publication Date

1-11-2021

Abstract

The breakup of a jet of a viscous fluid with viscosity μ1 immersed into another viscous fluid with viscosity μ2 is considered in the limit when the viscosity ratio λ=μ1/μ2 is close to zero. We show that, in this limit, a transition from ordinary continuous self-similarity to discrete self-similarity takes place as λ decreases. It follows that instead of a single point breakup, the rupture of the inner jet occurs through the appearance of an infinite sequence of filaments of decreasing size that will eventually produce infinite sequences of bubbles of the inner fluid inside the outer fluid. The transition can be understood as the result of a Hopf bifurcation in the system of equations modeling the physical problem.

Identifier

85100196313 (Scopus)

Publication Title

Physical Review Fluids

External Full Text Location

https://doi.org/10.1103/PhysRevFluids.6.013201

e-ISSN

2469990X

Issue

1

Volume

6

Grant

MTM2017-89423-P

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