Coarsening of Fractal Viscous Fingering Patterns

Eran Sharon, Mitchell G. Moore, William D. McCormick, and Harry L. Swinney
Phys. Rev. Lett. 91, 205504 – Published 13 November 2003

Abstract

We have measured the coarsening due to surface tension of radially grown fractal viscous fingering patterns. The patterns at late times depend on the structural form at the onset of coarsening, providing information on the age of the fractal. The coarsening process is not dynamically scale invariant, exhibiting two dynamic length scales that grow as L1(t)t0.22±0.02 and L2(t)t0.31±0.02. The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Lipshtat et al., Phys. Rev. E 65, 050501 (2002)].

  • Figure
  • Figure
  • Figure
  • Received 25 April 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.205504

©2003 American Physical Society

Authors & Affiliations

Eran Sharon*, Mitchell G. Moore, William D. McCormick, and Harry L. Swinney

  • Center for Nonlinear Dynamics and Department of Physics, University of Texas at Austin, Austin, Texas 78712, USA

  • *Electronic address: eran@chaos.ph.utexas.edu
  • Electronic address: mgmoore@chaos.ph.utexas.edu
  • Electronic address: swinney@chaos.ph.utexas.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 91, Iss. 20 — 14 November 2003

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×