Scaling Relations of Viscous Fingers in Anisotropic Hele-Shaw Cells
Soft Condensed Matter
2009-11-13 v1 Statistical Mechanics
Abstract
Viscous fingers in a channel with surface tension anisotropy are numerically studied. Scaling relations between the tip velocity v, the tip radius and the pressure gradient are investigated for two kinds of boundary conditions of pressure, when v is sufficiently large. The power-law relations for the anisotropic viscous fingers are compared with two-dimensional dendritic growth. The exponents of the power-law relations are theoretically evaluated.
Keywords
Cite
@article{arxiv.0811.4251,
title = {Scaling Relations of Viscous Fingers in Anisotropic Hele-Shaw Cells},
author = {Hidetsugu Sakaguchi and Kazutaka Noto},
journal= {arXiv preprint arXiv:0811.4251},
year = {2009}
}
Comments
5 pages, 4 figures