Validation of Forchheimer's Law for Flow through Porous Media with Converging Boundaries
Publication: Journal of Hydraulic Engineering
Volume 126, Issue 1
Abstract
Modifications to the Forchheimer equation, which describes the flow behavior through coarse porous media, to account for the convergence of streamlines are made and experimentally verified. The applicability of a resistance law relating friction factor and Reynolds number using the square root of intrinsic permeability as the characteristic length is examined for flow with converging boundaries, and theoretical curves similar to Moody diagram for pipe flow are developed. The effect of convergence of streamlines on the linear and nonlinear parameters is demonstrated.
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References
1.
Ahmed, N., and Sunada, D. K. (1969). “Non-linear flow in porous media.”J. Hydr. Div., ASCE, 95(6), 1847.
2.
Ahmed, N., and Sunada, D. K. (1971). “Closure to `Non-linear flow in porous media.' ”J. Hydr. Div., ASCE, 97, 1233.
3.
Arbhabhirama, A., and Dinoy, A. A. (1973). “Friction factor and Reynolds number in porous media flow.”J. Hydr. Div., ASCE, 99(6), 901–911.
4.
Forchheimer, P. (1901). “Wasserbewegung durch Boden.” Z. Ver. Deutsch. Ing., 45, 1782–1788.
5.
McCorquodale, J. A. ( 1970). “Finite element analysis of non-Darcy flow,” PhD thesis, University of Windsor, Windsor, Canada.
6.
Nasser, M. S. S. ( 1970). “Radial non-Darcy flow through porous media,” Master of Applied Science thesis, University of Windsor, Windsor, Canada.
7.
Pradip Kumar, G. N. ( 1994). “Radial non-Darcy flow through coarse granular media,” PhD thesis, Sri Venkateswara University, Tirupati, India.
8.
Scheidegger, A. E. (1963). The physics of flow through porous media. University of Toronto Press, Toronto, Canada.
9.
Subramanya, K., and Madhav, M. R. (1978). “Linear and non-linear flows through porous media.” Tech. Rep. 22, Central Board of Irrigation and Power, New Delhi, India.
10.
Thiruvengadam, M., and Pradip Kumar, G. N. (1997). “Validity of Forchheimer equation in radial flow through coarse granular media.”J. Engrg. Mech., ASCE, 123(7), 696–705.
11.
Venkataraman, P., and Rama Mohan Rao, P. (1998). “Darcian, transitional, and turbulent flow through porous media.”J. Hydr. Engrg., ASCE, 124(8), 840–846.
12.
Ward, J. C. (1964). “Turbulent flow in porous media.”J. Hydr. Div., ASCE, 90(5), 1.
13.
Ward, J. C. (1964). “Closure to `Turbulent flow in porous media.' ”J. Hydr. Div., ASCE, 92(4), 110.
14.
Wright, D. E. ( 1958). “Seepage patterns arising from laminar, transitional and turbulent flow through granular media,” PhD thesis, University of London, U.K.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 126 • Issue 1 • January 2000
Pages: 63 - 71
History
Received: May 2, 1996
Published online: Jan 1, 2000
Published in print: Jan 2000
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