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Title: Tip-splitting instabilities in the channel Saffman-Taylor flow of constant viscosity elastic fluids

Abstract

Boger fluids are used to study viscous fingering growth in viscoelastic fluids in channel Hele-Shaw flow. We have found that the viscous finger growing in the Boger fluid is unstable to tip splitting at high velocities, in a regime where a Newtonian viscous finger is stable. No fracturelike instabilities were observed. We show that the viscoelastic normal stress differences arising in shear and extensional flow reach very high values at shear and extensional rates comparable to those achieved at the tip of the finger at the onset of tip splitting, and the fluid becomes highly anisotropic. The viscoelastic stress could affect the dynamics of the finger and induce the tip-splitting instability. (c) 2000 The American Physical Society.

Authors:
 [1];  [1]
  1. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States)
Publication Date:
OSTI Identifier:
20216392
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 61; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; VISCOUS FLOW; INSTABILITY; FLOW STRESS; ELASTICITY; SHEAR; THEORETICAL DATA

Citation Formats

Vlad, D. H., and Maher, J. V. Tip-splitting instabilities in the channel Saffman-Taylor flow of constant viscosity elastic fluids. United States: N. p., 2000. Web. doi:10.1103/PhysRevE.61.5439.
Vlad, D. H., & Maher, J. V. Tip-splitting instabilities in the channel Saffman-Taylor flow of constant viscosity elastic fluids. United States. doi:10.1103/PhysRevE.61.5439.
Vlad, D. H., and Maher, J. V. Mon . "Tip-splitting instabilities in the channel Saffman-Taylor flow of constant viscosity elastic fluids". United States. doi:10.1103/PhysRevE.61.5439.
@article{osti_20216392,
title = {Tip-splitting instabilities in the channel Saffman-Taylor flow of constant viscosity elastic fluids},
author = {Vlad, D. H. and Maher, J. V.},
abstractNote = {Boger fluids are used to study viscous fingering growth in viscoelastic fluids in channel Hele-Shaw flow. We have found that the viscous finger growing in the Boger fluid is unstable to tip splitting at high velocities, in a regime where a Newtonian viscous finger is stable. No fracturelike instabilities were observed. We show that the viscoelastic normal stress differences arising in shear and extensional flow reach very high values at shear and extensional rates comparable to those achieved at the tip of the finger at the onset of tip splitting, and the fluid becomes highly anisotropic. The viscoelastic stress could affect the dynamics of the finger and induce the tip-splitting instability. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevE.61.5439},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
issn = {1063-651X},
number = 5,
volume = 61,
place = {United States},
year = {2000},
month = {5}
}