Аннотация
We investigate the flow of various non-Newtonian fluids through
three-dimensional disordered porous media by direct numerical simulation
of momentum transport and continuity equations. Remarkably, our results
for power-law (PL) fluids indicate that the flow, when quantified in
terms of a properly modified permeability-like index and Reynolds
number, can be successfully described by a single (universal) curve over
a broad range of Reynolds conditions and power-law exponents. We also
study the flow behavior of Bingham fluids described in terms of the
Herschel-Bulkley model. In this case, our simulations reveal that the
interplay of (i) the disordered geometry of the pore space, (ii) the
fluid rheological properties, and (iii) the inertial effects on the flow
is responsible for a substantial enhancement of the macroscopic
hydraulic conductance of the system at intermediate Reynolds conditions.
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