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2010
DOI: 10.1002/polb.22144
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Flow of non‐newtonian fluids in porous media

Abstract: The study of flow of non‐Newtonian fluids in porous media is very important and serves a wide variety of practical applications in processes such as enhanced oil recovery from underground reservoirs, filtration of polymer solutions and soil remediation through the removal of liquid pollutants. These fluids occur in diverse natural and synthetic forms and can be regarded as the rule rather than the exception. They show very complex strain and time dependent behavior and may have initial yield‐stress. Their comm… Show more

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Cited by 123 publications
(96 citation statements)
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References 153 publications
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“…So far, no general methodology has been developed. In the absence of such a general approach, four main models are found in the literature to deal with the flow of complex fluids in porous media, namely continuum models, ''bundle of tubes'' models, pore-scale network modeling and numerical methods (Sochi 2010). …”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…So far, no general methodology has been developed. In the absence of such a general approach, four main models are found in the literature to deal with the flow of complex fluids in porous media, namely continuum models, ''bundle of tubes'' models, pore-scale network modeling and numerical methods (Sochi 2010). …”
Section: Introductionmentioning
confidence: 99%
“…The disadvantage is that the detailed pore space description is often complex, hard to implement and leads to large computational costs and serious convergence difficulties, the latter being enhanced for viscoelastic fluids. For these reasons, the flow processes and porous media currently within the reach of numerical investigation are restricted to the simplest ones (Sochi 2010;Liu and Wu 2009), unless very advanced computational resources are available.…”
Section: Introductionmentioning
confidence: 99%
“…According to the Herschel-Bulkley model, the shear stress as a function of the shear rate is given by the following relation [22,50,53] …”
Section: Herschel-bulkley Modelmentioning
confidence: 99%
“…According to the Ellis model, the fluid viscosity µ as a function of the shearstress is given by the following expression [22,[46][47][48][49][50] …”
Section: Ellis Modelmentioning
confidence: 99%
“…A nonNewtonian fluid is a fluid whose viscosity varies with the applied stress. The relation between the strain rate and the shear stress is nonlinear, and can be time-dependent [2]. The constitutive equations tend to be highly nonlinear and intricate in comparison with those of a Newtonian fluid.…”
Section: Introductionmentioning
confidence: 99%