Revisited Analysis of Pressure Drop in Flow through Crushed Rocks
Publication: Journal of Hydraulic Engineering
Volume 128, Issue 11
Abstract
Experimental data of pressure drop in flow through crushed rocks are reanalyzed with the capillary model in comparison with a model based on the square root of permeability as characteristic length. The capillary model is described by two parameters: the pore diameter and the tortuosity. The comparison leads to relationships between the structural parameters, Reynolds number, and friction factor of each model. The interest of the capillary model is that a single equation can predict all the experimental data expressed in terms of a pore friction factor as a function of pore Reynolds number. The equation, which is the sum of a viscous term and an inertial one, is valid for the whole Reynolds number domain. The equation can be used for the determination of the limits of the Darcy and turbulent flow regimes. According to the criterion used to neglect the viscous or the inertial term, the flow regimes limits can be expressed by a simple numerical value.
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References
Ahmed, N., and Sunada, D. K.(1969). “Non-linear flow in porous media.” J. Hydraul. Div., Am. Soc. Civ. Eng., 95(6), 1847–1857.
Bird, R. B., Stewart, W. E., and Lightfoot, E. N. (1960). Transport phenomena, Wiley, New York.
Comiti, J., and Renaud, M.(1989). “A new model for determining mean structure parameters of fixed beds from pressure drop measurements: Application to beds packed with parallelepipedal particles.” Chem. Eng. Sci., 44(7), 1539–1545.
Du Plessis, P., Montillet, A., Comiti, J., and Legrand, J.(1994). “Pressure drop prediction for flow through high porosity metallic foams.” Chem. Eng. Sci., 49(21), 3545–3553.
Ergun, S.(1952). “Fluid flow through packed columns.” Chem. Eng. Prog., 48, 89–94.
Jayachandra, K. (1995). “An experimental study of steady non-linear parallel flow through coarse granular media.” Master of Technology Thesis, Sri Venkateswara Univ., Turupati, India.
Lage, J. L., and Antohe, B. V.(2000). “Darcy’s experiments and the deviation to nonlinear flow regime.” J. Fluids Eng., 122(9), 619–625.
Mc Corquodale, J. A., Hannoura, A., and Nasser, M. S.(1978). “Hydraulic conductivity of rockfill.” J. Hydraul. Res., 14(2), 123–137.
Morançais, P., Hirech, K., Carnelle, G., and Legrand, J.(1999). “Friction factor in static mixer and determination of geometric parameters of SMX Sulzer mixers.” Chem. Eng. Commun., 171, 77–93.
Nasser, M. S. S. (1970). “Radial non-Darcy flow through porous media.” Master of Applied Science thesis, Univ. of Windsor, Windsor, Ont., Canada.
Niranjan, H. S. (1973). “Non-Darcy flow through porous media.” Master of Technology thesis, ITT, Kanpur, India.
Pradip Kumar, G. N. (1994). “Radial non-Darcy flow through coarsegranular media.” Ph.D thesis, Sri Venkateswara Univ., Tirupati, India.
Sabiri, N., and Comiti, J.(1995). “Pressure drop in non-Newtonian purely viscous fluid flow through porous media.” Chem. Eng. Sci., 50(7), 1193–1201.
Scheidegger, A. E. (1963). The physics of flow through porous media, Univ. of Toronto Press, Toronto.
Trussel, R. R., and Chang, M.(1999). “A review of flow through porousmedia as applied to head loss in water filters.” J. Environ. Eng., Reston, Va. 125(11), 998–1006.
Venkataraman, P., and Rama Mohan Rao, P.(1998). “Darcian, transitional, and turbulent flow through porous media.” J. Hydraul. Eng., 124(8), 840–846.
Ward, J. C.(1964). “Turbulent flow in porous media.” J. Hydraul. Div., Am. Soc. Civ. Eng., 90(5), 1–12.
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Copyright © 2002 American Society of Civil Engineers.
History
Received: Oct 25, 2000
Accepted: Apr 26, 2002
Published online: Oct 15, 2002
Published in print: Nov 2002
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