TY - JOUR
T1 - Steadily growing viscous fingers in anisotropic Hele-Shaw cells
AU - Sakaguchi, Hidetsugu
AU - Noto, Kazutaka
PY - 2008/4
Y1 - 2008/4
N2 - We investigate viscous fingers under the influence of surface tension anisotropy. Steady solutions in a channel are numerically solved using the Newton method. We study relations among the tip velocity v, the tip radius ρ and the pressure gradient Px. Power law relations are found in a parameter range, but the anisotropic viscous fingers do not always satisfy the relations such as υρ2 = const. satisfied by dendrites in crystal growth.
AB - We investigate viscous fingers under the influence of surface tension anisotropy. Steady solutions in a channel are numerically solved using the Newton method. We study relations among the tip velocity v, the tip radius ρ and the pressure gradient Px. Power law relations are found in a parameter range, but the anisotropic viscous fingers do not always satisfy the relations such as υρ2 = const. satisfied by dendrites in crystal growth.
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U2 - 10.1143/JPSJ.77.044402
DO - 10.1143/JPSJ.77.044402
M3 - Article
AN - SCOPUS:54349102534
SN - 0031-9015
VL - 77
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 4
M1 - 044402
ER -