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Instability of radially spreading extensional flows. Part 1. Experimental analysis

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Sayag, R 
Worster, MG 

Abstract

jats:pWe present laboratory experiments that show that fingering patterns can emerge when circular interfaces of strain-rate-softening fluids displace less viscous fluids in extensionally dominated flows. The fingers were separated by regions in which the fluid appeared to be torn apart. Initially, the interface had a large dominant wavenumber, but some of the fingers progressively merged so that the number of fingers gradually declined in time. We find that the transition rate to a lower wavenumber during this cascade is faster the larger is the discharge flux of the displacing fluid. At late times, depending on the discharge flux, the pattern either converged into an integer wavenumber or varied stochastically within a finite range of wavenumbers, implying convergence to a fractional wavenumber. In that stage of the evolution we find that the average wavenumber declines with the discharge flux of the displacing fluid.</jats:p>

Description

Keywords

complex fluids, instability, thin films

Journal Title

Journal of Fluid Mechanics

Conference Name

Journal ISSN

0022-1120
1469-7645

Volume Title

881

Publisher

Cambridge University Press (CUP)

Rights

All rights reserved
Sponsorship
Israel Science Foundation (grant no. 1368/16)