On viscoelastic effects in non-Newtonian steady flows through porous media
โ Scribed by H. Pascal; F. Pascal
- Book ID
- 104635621
- Publisher
- Springer Netherlands
- Year
- 1989
- Tongue
- English
- Weight
- 810 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0169-3913
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โฆ Synopsis
This paper presents a mathematical model for describing approximately the viscoelastic effects in non-Newtonian steady flows through a porous medium. The rheological behaviour of power law fluids is considered in the Maxwell model of elastic behaviour of the fluids. The equations governing the steady flow through porous media are derived and an analytical solution of these equations in the case of a simple flow system is obtained. The conditions for which the viscoelastic effects may become observable from the pressure distribution measurements are shown and expressed in terms of some dimensionless groups. These have been found to be relevant in the evaluation of viscoelastic effects in the steady flow through porous media.
๐ SIMILAR VOLUMES
In this article we present a review of the single-phase flow of non-Newtonian fluids in porous media. The four main approaches for describing the flow through porous media in general are examined and assessed in this context. These are: continuum models, bundle of tubes models, numerical methods and
The conditions for expecting a similarity solution on the lines of d'Arcy's Law for non-Newtonian flow in porous media are examined. A modified d'Arcy Law can be expected for a power law fluid. If the viscometric data does not indicate a power law fluid one cannot find a simple solution for calculat