Scaling Relations of Viscous Fingers in Anisotropic Hele-Shaw Cells

Details Scaling Relations of Viscous Fingers in Anisotropic Hele-Shaw Cells Scaling Relations of Viscous Fingers in Anisotropic Hele-Shaw Cells

2008-11-26

arxiv.org/abs/0811.4251v1

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 4 figures

Scientific paper

10.1143/JPSJ.77.044402

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.

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