1. Effective Rheology of Bi-viscous Non-newtonian Fluids in Porous Media
- Author
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Laurent Talon, Alex Hansen, Fluides, automatique, systèmes thermiques (FAST), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), and Norwegian University of Science and Technology (NTNU) more...
- Subjects
Materials Science (miscellaneous) ,Constitutive equation ,Biophysics ,General Physics and Astronomy ,FOS: Physical sciences ,01 natural sciences ,Physics::Fluid Dynamics ,percolation ,porous media ,Rheology ,Critical point (thermodynamics) ,0103 physical sciences ,[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] ,Physical and Theoretical Chemistry ,010306 general physics ,Mathematical Physics ,ComputingMilieux_MISCELLANEOUS ,non-newtonian fluid ,Physics ,non-linear Darcy law ,Fluid Dynamics (physics.flu-dyn) ,critical system ,Mechanics ,Physics - Fluid Dynamics ,[PHYS.MECA]Physics [physics]/Mechanics [physics] ,Square lattice ,Non-Newtonian fluid ,lcsh:QC1-999 ,Exponent ,Porous medium ,Critical exponent ,lcsh:Physics - Abstract
We model the flow of a bi-viscous non-Newtonian fluid in a porous medium by a square lattice where the links obey a piece-wise linear constitutive equation. We find numerically that the flow regime where the network transitions from all links behaving according to the first linear part of the constitutive equation to all links behaving according to the second linear part of the constitutive equation, is characterized by a critical point. We measure two critical exponents associated with this critical point, one of the being the correlation length exponent. We find that both critical exponents depend on the parameters of the model., Submitted to Frontiers in Physics more...
- Published
- 2020
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