TECHNICAL PAPERS
Dec 1, 1988

Effect of Walls in Modeling Flow through Porous Media

Publication: Journal of Hydraulic Engineering
Volume 114, Issue 12

Abstract

A study has been undertaken to determine the effect of walls in the modeling of flow through porous media. Two primary influences of the wall are identified: packing effects for an unconsolidated porous medium and viscous effects on the flow. The packing effect is considered through a series of experiments to arrive at an expression for the bulk porosity as a function of the ratio of particle diameter to pipe diameter. From this expression, and assuming that the region of greater haphazard packing occurs at a distance approximately one particle radius from the wall, a porosity of the wall region is determined. The viscous effects are accounted for by incorporating the Brinkman's extension term in the momentum equation. The combined effects are considered by employing a two region model for the fluid mechanics.

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References

1.
Bakhmeteff, B. A., and Feodoroff, N. V. (1937). “Flow through granular media.” J. Appl. Mech., 4(1), 97–104.
2.
Blake, F. C. (1922). “The resistance of packing to fluid flow.” Trans., American Institute of Chemical Engineers, 14, 415–421.
3.
Brinkman, H. C. (1947). “A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles.” Appl. Sci. Res., A1(1), 27–34.
4.
Dudgeon, C. R. (1967). “Wall effects in permeaters.” J. Hydr. Div., ASCE, 93(5), 137–148.
5.
Franzini, J. B. (1956). “Permeater wall effect.” Trans., American Geophysical Union, 37(6), 735–737.
6.
Franzini, J. B. (1968). Discussion of “Wall effects in permeaters” by C. R. Dudgeon. J. Hydr. Div., ASCE, 94(4), 1148–1150.
7.
Graton, L. C., and Fraser, H. J., (1935). “Systematic packing of spheres—with particular relation to porosity and permeability.” J. Geology, 43(8–I), 785–909.
8.
Lundgren, T. S. (1972). “Slow flow through stationary random beds and suspensions of spheres.” J. Fluid Mech., 51(2), 273–299.
9.
Neale, G., and Nadar, W. (1974). “Practical significance of Brinkman's extension of Darcy's law: coupled parallel flow within a channel and a bounding porous medium.” Can. J. Chem. Engrg., 52(4), 475–478.
10.
Rose, H. E., and Rizk, A. M. A. (1949). “Further researches in fluid flow through beds of granular material.” Proc., Institution of Mechanical Engineers, 160, 493–511.
11.
Slichter, C. S. (1899). “Theoretical investigation of the motion of ground waters.” Nineteenth Annual Report, U.S. Geological Survey, 2, 295–384.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 114Issue 12December 1988
Pages: 1431 - 1448

History

Published online: Dec 1, 1988
Published in print: Dec 1988

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Authors

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Craig W. Somerton
Asst. Prof., Dept. of Mech. Engrg., Michigan State Univ., East Lansing, MI 48824
Patricia Wood
Resale Design Engr., Mobil Oil Co., Fairfax, VA 22318

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