TY - JOUR
T1 - Scaling relations of viscous fingers in anisotropic hele-shaw cells
AU - Sakaguchi, Hidetsugu
AU - Noto, Kazutaka
PY - 2009/2
Y1 - 2009/2
N2 - Viscous fingers in a channel with surface tension anisotropy are numerically studied. Scaling relations between the tip velocity v, the tip radius ρ, and the pressure gradient P x are investigated for two kinds of boundary conditions of pressure, when ν 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.
AB - Viscous fingers in a channel with surface tension anisotropy are numerically studied. Scaling relations between the tip velocity v, the tip radius ρ, and the pressure gradient P x are investigated for two kinds of boundary conditions of pressure, when ν 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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U2 - 10.1143/JPSJ.78.024601
DO - 10.1143/JPSJ.78.024601
M3 - Article
AN - SCOPUS:60249102168
SN - 0031-9015
VL - 78
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 2
M1 - 024601
ER -