Coarsening of fractal viscous fingering patterns

Eran Sharon; Mitchell G. Moore; William D. McCormick; Harry L. Swinney

doi:10.1103/PhysRevLett.91.205504

Coarsening of fractal viscous fingering patterns

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

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 [Formula presented] and [Formula presented]. The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Lipshtat PLEEE8 65, 050501 (2002)10.1103/PhysRevE.65.050501].

Original language	English
Journal	Physical Review Letters
Volume	91
Issue number	20
DOIs	https://doi.org/10.1103/PhysRevLett.91.205504
State	Published - 2003
Externally published	Yes

Bibliographical note

Funding Information:
We thank Baruch Meerson and his colleagues for inspiration and advice and for providing the images in Fig. 1 , and Jack Swift and Olivier Praud for frequent assistance. This work was supported by the Office of Naval Research. E. S. acknowledges support by the Fulbright Foundation, and M. G. M. acknowledges support from the University of Texas.

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title = "Coarsening of fractal viscous fingering patterns",

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 [Formula presented] and [Formula presented]. The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Lipshtat PLEEE8 65, 050501 (2002)10.1103/PhysRevE.65.050501].",

author = "Eran Sharon and Moore, {Mitchell G.} and McCormick, {William D.} and Swinney, {Harry L.}",

note = "Funding Information: We thank Baruch Meerson and his colleagues for inspiration and advice and for providing the images in Fig. 1 , and Jack Swift and Olivier Praud for frequent assistance. This work was supported by the Office of Naval Research. E. S. acknowledges support by the Fulbright Foundation, and M. G. M. acknowledges support from the University of Texas.",

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doi = "10.1103/PhysRevLett.91.205504",

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AU - Sharon, Eran

AU - Moore, Mitchell G.

AU - McCormick, William D.

AU - Swinney, Harry L.

N1 - Funding Information: We thank Baruch Meerson and his colleagues for inspiration and advice and for providing the images in Fig. 1 , and Jack Swift and Olivier Praud for frequent assistance. This work was supported by the Office of Naval Research. E. S. acknowledges support by the Fulbright Foundation, and M. G. M. acknowledges support from the University of Texas.

PY - 2003

Y1 - 2003

N2 - 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 [Formula presented] and [Formula presented]. The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Lipshtat PLEEE8 65, 050501 (2002)10.1103/PhysRevE.65.050501].

AB - 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 [Formula presented] and [Formula presented]. The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Lipshtat PLEEE8 65, 050501 (2002)10.1103/PhysRevE.65.050501].

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Coarsening of fractal viscous fingering patterns

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