Martyushev L M, Birzina A I
Ural Federal University, Mira Street 19, Yekaterinburg, 620002 Russia.
Ural Federal University, Mira Street 19, Yekaterinburg, 620002 Russia and and Institute of Industrial Ecology, S. Kovalevskoi Street 20a, Yekaterinburg, 620219 Russia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jan;91(1):013004. doi: 10.1103/PhysRevE.91.013004. Epub 2015 Jan 8.
The problem of the morphological stability of an interface in the case of the displacement of one non-Newtonian fluid by another non-Newtonian fluid in a radial Hele-Shaw cell has been considered. Both fluids have been described by the two-parameter Ostwald-de Waele power-law model. The nonzero viscosity of the displacing fluid has been taken into account. A generalized Darcy's law for the system under consideration, as well as an equation for the determination of the critical size of morphological stability with respect to harmonic perturbations (linear analysis), has been derived. Morphological phase diagrams have been constructed, and the region of the parameters in which nonequilibrium reentrant morphological transitions are possible has been revealed.
