TY - JOUR
T1 - Non-newtonian hele-shaw flow and the saffman-taylor instability
AU - Kondic, Ljubinko
AU - Shelley, Michael J.
AU - Palffy-Muhoray, Peter
PY - 1998/2/16
Y1 - 1998/2/16
N2 - We explore the Saffman-Taylor instability of a gas bubble expanding into a shear thinning liquid in a radial Hele-Shaw cell. Using Darcy’s law generalized for non-Newtonian fluids, we perform simulations of the full dynamical problem. The simulations show that shear thinning significantly influences the developing interfacial patterns. Shear thinning can suppress tip splitting, and produce fingers which oscillate during growth and shed side branches. Emergent length scales show reasonable agreement with a general linear stability analysis.
AB - We explore the Saffman-Taylor instability of a gas bubble expanding into a shear thinning liquid in a radial Hele-Shaw cell. Using Darcy’s law generalized for non-Newtonian fluids, we perform simulations of the full dynamical problem. The simulations show that shear thinning significantly influences the developing interfacial patterns. Shear thinning can suppress tip splitting, and produce fingers which oscillate during growth and shed side branches. Emergent length scales show reasonable agreement with a general linear stability analysis.
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U2 - 10.1103/PhysRevLett.80.1433
DO - 10.1103/PhysRevLett.80.1433
M3 - Article
AN - SCOPUS:0001407640
SN - 0031-9007
VL - 80
SP - 1433
EP - 1436
JO - Physical Review Letters
JF - Physical Review Letters
IS - 7
ER -