We discuss the cooperative failure dynamics in the fiber bundle model where the individual
elements or fibers are Hookean springs that have identical spring constants but different …

Predicting the flow of non-Newtonian fluids in a porous structure is still a challenging issue
due to the interplay between the microscopic disorder and the nonlinear rheology. In this …

Abstract The Buckingham–Reiner models for the one-dimensional flow of a Bingham fluid
along a uniform pipe or channel are well-known, but are modified here to cover much more …

The depinning transition critical point is manifested as power-law distributed avalanches
exhibited by slowly driven elastic interfaces in quenched random media. Here we show that …

Flows of Non-Newtonian fluids have different applications in porous media. Indeed, slurries,
colloidal suspensions, emulsions, foams or heavy oil which present complex rheologies are …

This theoretical study analyses the effects of geometrical and fluid parameters on the flow
metrics in the Hagen-Poiseuille and plane-Poiseuille flows of Herschel-Bulkley fluid through …

The fiber bundle model is essentially an array of elements that break when sufficient load is
applied on them. With a local loading mechanism, this can serve as a model for a one …

In this paper, we investigate possible improvements that can be made to the bundle of
capillaries model in order to better represent the flow of yield stress fluids through porous …

The yield stress fluids porosimetry method (YSM) was recently presented as a simple and
non-toxic potential alternative to the extensively used mercury intrusion porosimetry (MIP) …

We report on numerical studies of avalanches of an autocatalytic reaction front in a porous
medium. The front propagation is controlled by an adverse flow resulting in upstream, static …