RT Journal Article T1 Stabilization of periodically forced Hele-Shaw flows by means of a nonmonotonic viscosity profile A1 Pérez Muñuzuri, Vicente K1 Displacement of immiscible fluids K1 Saffman-Taylor instability AB The onset of viscous fingering in the presence of a viscosity profile is investigated theoretically for two immiscible fluids undergoing a time-dependent injection. Here, we show that the presence of a positive viscosity gradient at the interface between both fluids stabilizes the interface facilitating the spread of the perturbation. This effect is much more pronounced in the case of sinusoidal injection flows. The influence of the viscosity gradient on the dispersion relation is analyzed. Numerical simulations of the Navier-Stokes equation confirm the linear stability analysis. PB American Physical Society SN 2470-0045 YR 2022 FD 2022-07-14 LK https://hdl.handle.net/10347/37597 UL https://hdl.handle.net/10347/37597 LA eng DS Minerva RD 27 abr 2026