Brandão Rodolfo, Fontana João V, Miranda José A
Departamento de Física, Universidade Federal de Pernambuco, Recife, Pernambuco 50670-901, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):063003. doi: 10.1103/PhysRevE.88.063003. Epub 2013 Dec 2.
We employ a weakly nonlinear perturbative scheme to investigate the stretch flow of a non-Newtonian fluid confined in Hele-Shaw cell for which the upper plate is lifted. A generalized Darcy's law is utilized to model interfacial fingering formation in both the weak shear-thinning and weak shear-thickening limits. Within this context, we analyze how the interfacial finger shapes and the nonlinear competition dynamics among fingers are affected by the non-Newtonian nature of the stretched fluid.
