Numerical simulation of viscous liquid displacement in Hele-Shaw cell

Abstract

© 2019 Author(s). The paper studies the influence of initial shape of liquid interface in Hele-Shaw cell on the development of Saffman-Taylor instability. The impact of perturbation parameters of interface is investigated using computational fluid dynamics methods. The results of the research include concentration outlines, the dependence of the viscous fingering growth rate on the period and the amplitude of the initial boundary perturbation. The value of the perturbation period at which the growth rate of viscous fingering is maximal is determined. At large values of the perturbation period, the growth rate is significantly reduced. The increase in the amplitude of the perturbation leads to an increase in the velocity of viscous fingerings.