Non-Newtonian flow in stratified porous media and in axisymmetric geometries
β Scribed by D.A. White
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 741 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0009-2509
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β¦ Synopsis
The power law form of d'Arcy's Law is applied to the equation of continuity to give the diierential equations linking pressure distributions within a three dimensional porous bed and an equation for the stream function in axisymmetric flow in a similar bed.
Stratified interfaces cause non-linear refraction of the streamlines at the interface but the equations governing this refraction can be incorporated into the relaxation procedure used to solve the differential equations for stream functions. A simple example is given of the use of these equations and is verified experimentally.
π SIMILAR VOLUMES
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
The flow ofnon-Newtonian purely viscous fluids through packed beds of different structures has been investigated and a model of calculation of the pressure drop is proposed. This model takes into account the structural parameters of the porous medium: the tortuosity T, the dynamic specific surface a