Ivan Yotov, University of Pittsburgh, A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media
ZoomA nonlinear model is developed for fluid-poroelastic structure interaction with quasi-Newtonian fluids that exhibit a shear-thinning property. The flow in the fluid region is described by the Stokes equations and in the poroelastic medium by the quasi-static Biot model. Equilibrium and kinematic conditions are imposed on the interface. A mixed Darcy formulation is employed, resulting…