Study of shear thinning fluid flow through highly permeable porous media
โ Scribed by M. Parvazinia; V. Nassehi
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 280 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0735-1933
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โฆ Synopsis
The Brinkman equation is used to model the flow of power-law fluids in a highly permeable porous medium. Isothermal flow of shear thinning fluids in a porous medium between two impermeable parallel walls at different Darcy parameters (Da) and powerlaw index is studied. Both finite element method and analytical solutions are applied to solve the Brinkman equation. The analytical solution is based on a trial and error procedure. This solution reveals a channelling in the flow regime within the thin near walls boundary layer. Finite element solution is, in general, unstable but can be stabilised for a limited rang of Darcy parameter and power-law index.
๐ SIMILAR VOLUMES
Non-linear laws of fluid flow through anisotropic porous media are written out in invariant tensor form for all crystallographic point symmetry groups. The equations, as is customary in seepage theory [1,2], are represented by expressions containing the seepage velocity up to and including the third
The macroscopic description of the dynamics of two immiscible fluids flowing through a deformable porous medium is obtained from the description of the pore scale using the homogenization theory of periodic structures. The result is a generalization of the description of saturated porous media with