Validity of Forchheimer Equation in Radial Flow through Coarse Granular Media
Publication: Journal of Engineering Mechanics
Volume 123, Issue 7
Abstract
The validity of application of the Forchheimer equation for steady non-Darcy radial flow through coarse granular media and glass spheres has been investigated experimentally. The drawbacks observed while computing the coefficients of this equation have been critically reviewed. An expression is obtained for hydraulic gradient in the case of radial flow. For coarse granular media, a relationship between specific surface and volume diameter has been obtained. In the range of experiments conducted lying in turbulent regime (300 <R< 7,000) a simple form of expression absorbing the effects of variations in size of the medium, number of sizes of the samples used, and porosity of the medium relating resistance to flow and flow pattern in a converging flow configuration is developed. Porosity effect and wall effect are included to make the results of the study more realistic and practically applicable.
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References
1.
Ahmed, N., and Sunada, D. K. (1969). “Non-linear flow in porous media.”J. Hydr. Div., ASCE, 96(10).
2.
Ahmed, N., and Sunada, D. K. (1971). “Closure to `Non-linear flow in porous media.”' J. Hydr. Div., ASCE, 1233.
3.
Burcharth, H. F., and Anderson, O. H. (1995). “On the one-dimensional steady and unsteady porous flow equations.”Coast. Engrg., 24(3–4), 233–257.
4.
Dudgeon, C. R.(1967). “Wall effects in permeameters.”J. Hydr. Div., ASCE, 93, 137.
5.
Fand, R. M.(1987). “Resistance to the flow of fluids through simple and complex porous media whose matrices are composed of randomly packed spheres.”J. Fluid Engrg., ASME, 109, 268–274.
6.
Hall, K. R., Smith, G. M., and Turcke, D. J.(1995). “Comparison of oscillatory and stationary flow through porous media.”Coast. Engrg., 24, 217–232.
7.
Harr, M. E. (1962). Ground water and seepage. McGraw-Hill Book Co., Inc., New York, N.Y.
8.
Hubbert, M. K. (1956). “Darcy's law and the field equations of the flow of underground fluids.”J. Pet. Technol., 4352.
9.
Kovacs, G. (1981). “Seepage hydraulics.”Developments in Water Science, ESPC, New York, N.Y.
10.
Nasser, M. S. S. (1970). “Radial non-Darcy flow through porous media,” MS thesis, Univ. of Windsor, Windsor, Canada.
11.
Polubarinova-Kochina, P. (1952). Theory of ground water flow, Moscow.
12.
Pradip Kumar, G. N. (1994). “Radial non-Darcy flow through coarse granular media,” PhD thesis, Sri Venkateswara Univ., Tirupati, India.
13.
Rose, H. E., and Rizk, A. M. (1949). “Further researches in fluid flow through beds of granular material.”Proc., Inst. of Mech. Engrs., 493.
14.
Scheidegger, A. E. (1960). The physics of flow through porous media, 2nd Ed., Univ. of Toronto Press, Toronto, Canada.
15.
Shih, R. W. K.(1990). “Permeability characteristics of rubble material, new formulae,”Proc., ICCE, Delft, 2, 1499–1512.
16.
Subramanya, K., and Madhav, M. R. (1978). “Linear and non-linear flows through porous media.”Tech. Rep. No. 22, Central Board of Irrigation and Power, India.
17.
Thiruvengadam, M. (1992). “Non-Darcy converging flow through coarse granular media,” M. Tech thesis, Sri Venkateswara Univ., Tirupati, India.
18.
Van Gent, M. R. A. (1992). “Formulae to describe porous flow.”Com. on Hydr. and Geotech. Engrg., Delft Univ. of Technol.
19.
Ward, J. C. (1964). “Turbulent flow in porous media.”J. Hydr. Div., ASCE, 90(5).
20.
Ward, J. C. (1966). “Closure to `Turbulent flow in porous media.”' J. Hydr. Res., ASCE, 92(4).
21.
Wright, D. E. (1968). “Non-linear flow through granular media.”J. Hydr. Div., ASCE, 94(4).
22.
Wright, D. E. (1969). “Closure to `Non-linear flow through granular media.”' J. Hydr. Div., ASCE, 95(5).
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Jul 1, 1997
Published in print: Jul 1997
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