Two-dimcnsional flow of polymer solutions through porous media

P. Gestoso, A. J. Müller, Avelino E Saez

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this work we develop a mathematical model to predict velocity and pressure profiles for two-dimensional flow of polymer solutions through porous media. The model is based on a modification of the differential form of Darcy's law in which the apparent viscosity of the polymer solution is expressed as a function of the local (pore-scale) deformation rate. The relationship between apparent viscosity and deformation rate was obtained from experimental results corresponding to one-dimensional flow. Once this relationship is available, the model is completely predictive, i.e., it has no adjustable parameters. Experiments were conducted to characterize the relationship between total pressure drop and fluid flow rate in a two-dimensional porous medium. The fluids used in the experiments were aqueous solutions of high molecular weight polymers: (1) a flexible polymer, polyfethylene oxide), which exhibits extension thickening in one-dimensional flows through porous media, and (2) a semirigid polymer, hydroxypropyl guar, whose behavior in porous media is shear thinning. For the flexible polymer, the model predicts an extension thickening behavior that is less critical in terms of deformation rate variations than what is observed experimentally. We present arguments that suggest that the absence of elasticity in the constitutive relationship used in the model formulation is the reason for this inaccuracy. This indicates that elastic behavioral the pore level plays an important role in the macroscopic pressure drops of solutions of flexible polymer in porous media flows.

Original languageEnglish (US)
Pages (from-to)251-262
Number of pages12
JournalJournal of Porous Media
Volume2
Issue number3
StatePublished - 1999

Fingerprint

Polymer Solution
Polymer solutions
Porous Media
Porous materials
Polymers
polymers
Pressure Drop
one dimensional flow
Pressure drop
Viscosity
pressure drop
Predict
Darcy's Law
Shear Thinning
Flow in Porous Media
Shear thinning
Differential Forms
viscosity
Model
porosity

ASJC Scopus subject areas

  • Mechanical Engineering
  • Materials Science(all)
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes
  • Catalysis

Cite this

Two-dimcnsional flow of polymer solutions through porous media. / Gestoso, P.; Müller, A. J.; Saez, Avelino E.

In: Journal of Porous Media, Vol. 2, No. 3, 1999, p. 251-262.

Research output: Contribution to journalArticle

Gestoso, P. ; Müller, A. J. ; Saez, Avelino E. / Two-dimcnsional flow of polymer solutions through porous media. In: Journal of Porous Media. 1999 ; Vol. 2, No. 3. pp. 251-262.
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