Abstract

We study the displacement of two Stokes immiscible fluids in a porous medium, approximated by the Hele-Shaw horizontal model. An intermediate non-Newtonian polymer-solute, whose viscosity is depending on the velocity, is considered between the initial fluids. The linear stability problem of this three-layer displacement does not make sense. If the intermediate viscosity depends on velocity and on the polymer concentration, we can obtain a minimization of the Saffman-Taylor instability.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 4
Year: 2021

DOI: 10.12732/ijam.v34i4.6

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