Flow Regimes in Packed Beds of Spheres from Pre-Darcy to Turbulent

Transport in Porous Media

Volumn 104, Issue 3, 2014, Pages 501-520

  Bağcı, Özer ^a   Dukhan, Nihad ^b   Özdemir, Mustafa ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

^b UNIVERSITY OF DETROIT MERCY   (United States)

Author keywords

Darcy; Forchheimer; Friction factor; Permeability; Pre Darcy; Pressure drop

Indexed keywords

DROPS; ENERGY DISSIPATION; FLOW OF WATER; FRICTION; MECHANICAL PERMEABILITY; PACKED BEDS; POROUS MATERIALS; PRESSURE DROP; REYNOLDS NUMBER;

DARCY; DARCY REGIMES; ERGUN EQUATION; FORCHHEIMER; FRICTION FACTORS; PRE-DARCY; STEEL SPHERES; TURBULENT REGIME;

SPHERES;

ENERGY DISSIPATION; FRICTION; HYDROLOGICAL REGIME; PERMEABILITY; POROUS MEDIUM; PRESSURE DROP; REYNOLDS NUMBER; SPHERE; TURBULENT FLOW; WATER FLOW;

EID: 84907596393     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-014-0345-0     Document Type: Article

References (33)

1. Adler, P., Malevich, A. E., Mityushev, V.: Nonlinear correction to Darcy's law. Acta Mech. 224, 1823-1848 (2013).
2. Bear, J.: Dynamics of Fluids in Porous Media. Dovers, New York (1972).
3. Bordier, C., Zimmer, D.: Drainage equations and non-Darcian modelling in course porous media or geosynthetic materials. J. Hydrol. 228, 174-187 (2000).
4. Comiti, J., Renaud, M.: 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 (1989).
5. Dukhan, N., Minjeur II, C. A.: A two-permeability approach for assessing flow properties in cellular metals. J. Porous Mater. 18(4), 417-424 (2011).
6. Dukhan, N., Patel, K.: Effect of sample's length on flow properties of open-cell metal foam and pressure-drop correlations. J. Porous Mater. 18(6), 655-665 (2011).
7. Dybbs, A., Edwards, R. V.: A new look at porous media fluid mechanics-Darcy to turbulent. In: Bear, J., Corapciolu, M. Y. (eds.) Fundamentals of Transport Phenomena in Porous Media. NATO ASI Series, Series E. The Hague, pp. 199-256. Martinus Nijhoff Publishers, Leiden (1984).
8. Ergun, S.: Fluid flow through packed columns. Chem. Eng. Prog 48(2), 89-94 (1952).
9. Fand, R. M., Kim, B. Y. Y., Lam, A. C. C., Phan, R. T.: Resistance to the flow of fluids through simple and complex porous media whose matrices are composed of randomly packed spheres. J. Fluids Eng. 109, 268-273 (1987).
10. Figliola, R., Beasley, D.: Theory and Design for Mechanical Measurements. Wiley, New York (2000).
11. Hwang, J. J., Hwang, G. J., Yeh, R. H., Chao, C. H.: Measurement of interstitial convective heat transfer and frictional drag for flow across metal foams. J. Heat Trans. 124, 120-129 (2002).
12. Kaviany, M.: Principles of Heat Transfer in Porous Media, 2nd edn. Springer, New York (1995).
13. Kececioglu, I., Jiang, Y.: Flow through porous media of packed spheres saturated with water. J. Fluids Eng. 116, 164-170 (1994).
14. Lage, J. L.: The fundamental theory of flow through permeable media form Darcy to turbulence. In: Ingham, D. B., Pop, I. (eds.) Transport Phenomena in Porous Media, pp. 1-30. Pergamon, New York (1998).
15. McDonald, I. F., El-sayed, M. S., Mow, K., Dullien, F. A. L.: Flow through porous media-the Ergun equation revisited. Ind. Eng. Chem. Fundam. 18(3), 199-208 (1997).
16. Moutsopoulos, K. N.: One-dimensional unsteady inertial flow in phreatic aquifers, induced by a sudden change of the boundary head. Transp. Porous Media 70, 97-125 (2007). doi: 10. 1007/s11242-006-9086-z.
17. Moutsopoulos, K. N., Papaspyros, J. N. E., Tsihrintzis, V. A.: Experimental investigation of inertial flow processes in porous media. J. Hydrol. 374, 242-254 (2009).
18. Nield, D. A., Bejan, A.: Convection in Porous Media, 2nd edn. Springer, New York (1999).
19. Panfilov, M., Fourar, M.: Physical splitting of non-linear effects in high-velocity stable flow through porous media. Adv. Water Res. 331, 41-48 (2006).
20. Rode, S., Midoux, N., Latifi, M. A., Storch, A., Saatdjian, E.: hydrodynamics of liquid flow in packed beds: an experimental study using electrochemical shear rate sensors. Chem. Eng. Sci. 49(6), 889-900 (1994).
21. Sedghi-Asl, M., Rahimi, H.: Adoption of Manning's equation to 1D non-Darcy flow problems. J. Hydraul. Res. 49(6), 814-817 (2011).
22. Sedghi-Asl, M., Rahimi, H., Salehi, R.: Non-Darcy flow of water through a packed column test. Tansp. Porous Med. 101, 215-227 (2014).
23. Seguin, D., Montillet, A., Comiti, J.: Experimental characterization of flow regimes in various porous media-I: limit of laminar flow regime. Chem. Eng. Sci. 53, 3751-3761 (1998a).
24. Seguin, D., Montillet, A., Comiti, J., Huet, F.: Experimental characterization of flow regimes in various porous media-II: transition to turbulent regime. Chem. Eng. Sci. 53, 3897-3909 (1998b).
25. Sen, Z.: Nonlinear flow toward wells. J. Hydraul. Eng. 115(2), 193-209 (1989).
26. Sidiropoulou, M. G., Moutsopoulos, K. N., Tsihrintzis, V. A.: Determination of Forchheimer equation coefficients a and b. Hydrol. Process. 21(4), 534-554 (2007).
27. Skjetne, E., Aurliault, J.-L.: High velocity laminar and turbulent flow in porous media. Trans. Porous Med. 36, 131-147 (1999).
28. Vafai, K., Tien, C. L.: Boundary and inertia effects on flow and heat transfer in porous media. Int. J. Heat Mass Trans. 25(8), 1183-1190 (1982).
29. Venkataraman, P., Rao, P. R. M.: Darcian, transitional and turbulent flow through porous media. J. Hydraul. Eng. 124, 840-846 (1998).
30. Ward, J. C.: Turbulent flow in porous media. J. Hydraul. Div. 90(5), 1-12 (1964).
31. Wen, Z., Huang, G., Zhan, H.: Non-Darcian flow in a single confined vertical fracture toward a well. J. Hydrol. 330, 698-708 (2006).
32. Yamada, H., Nakamura, F., Watanabe, Y., Murakami, M., Nogami, T.: Measuring hydraulic permeability in a streambed using the packer test. Hydrol. Process. 19, 2507-2524 (2005).
33. Zeng, Z., Grigg, R.: A criterion for non-Darcy flow in porous media. Transp. Porous Media 63, 57-69 (2006).