M. Kawaguchi et al., EFFECT OF GEOMETRY AND ANISOTROPY OF A HELE-SHAW CELL ON VISCOUS FINGERING OF POLYMER-SOLUTIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 785-788
Viscous fingering patterns of hydroxypropyl methyl cellulose (HPMC) so
lutions were investigated by forcing air in radial and linear geometry
Hele-Shaw cells with radial and linear geometry as functions of HPMC
concentration and applied pressure. The resulting patterns depended on
the HPMC concentration and the cell geometry and anisotropy. The char
acteristic quantities of pattern growth, such as the finger tip veloci
ty and the finger width, were evaluated. The tip velocity in the aniso
tropic linear cell was almost the same as that in the radial one, more
over, the finger width was well correlated with the pattern morphologi
cal changes.