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TECHNICAL PAPERS

Flow Through a Finite Packed Bed of Spheres: A Note on the Limit of Applicability of the Forchheimer-Type Equation

[+] Author and Article Information
Agnès Montillet

Laboratoire de Génie des Procédés appliqués à l’Environnement et l’Agroalimentaire, C.R.T.T., Bd de l’Université, BP 406-44602 Saint-Nazaire Cedex-Francee-mail: montill@crttsn.univ-nantes.fr

J. Fluids Eng 126(1), 139-143 (Feb 19, 2004) (5 pages) doi:10.1115/1.1637928 History: Received March 27, 2001; Revised June 23, 2003; Online February 19, 2004
Copyright © 2004 by ASME
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References

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Fand,  R. M., Kim,  B. Y. K., Lam,  A. C. C., and Phan,  R. T., 1987, “Resistance to the Flow of Fluids Through Simple and Complex Porous Media Whose Matrices are Composed of Randomly Packed Spheres,” J. Fluids Eng., 109, pp. 268–274.
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Seguin,  D., Montillet,  A., Comiti,  J., and Huet,  F., 1998, “Experimental Characterization of Flow Regimes in Various Porous Media—II: Transition to Turbulent Regime,” Chem. Eng. Sci., 53, pp. 3897–3909.
Zou,  R. P., and Yu,  A. B., 1995, “The Packing in a Cylindrical Container: The Thickness Effect,” Chem. Eng. Sci., 50, pp. 1504–1507.
Comiti,  J., Sabiri,  N. E., and Montillet,  A., 2000, “Experimental Characterization of Flow Regimes in Various Porous Media—III: Limit of Darcy’s or Creeping Flow Regime for Newtonian and Purely Viscous Non-Newtonian Fluids,” Chem. Eng. Sci., 55, pp. 3057–3061.
Carman, P. C., 1937, L’écoulement des gaz à travers les milieux poreux. P.U.F.
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Comiti,  J., and Renaud,  M., 1989, “A New Model for Determining Mean Structure Parameters of Fixed Beds From Pressure Drop Measurements: Application to Packed Beds With Parallelepipedal Particles,” Chem. Eng. Sci., 44, pp. 1539–1545.
Seguin, D., 1997, “Contribution à l’étude du transfert de matière et des régimes d’écoulement dans des milieux poreux de structures variées,” doctorat, Université de Nantes.
Rose,  H. E., and Rizk,  A. M. A., 1949, “Further Researches in Fluid Flow Through Beds of Granular Material,” Proc. Inst. Mech. Eng., 160, pp. 493–503.
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Figures

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Schematic diagram of the experimental apparatus. On the right: the packed bed. (the test section is the delimited by the two central pressure taps). On the left: the experimental device. FI: electromagnetic flow meter, TI: temperature probe (Pt 100), TC: temperature controller.
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Schematic diagram of the measurement uncertainty of the different manometers used in this work
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Experimental data expressed in a dimensionless form
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Comparison of experimental data with different predictive equations
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Evolution of the modified friction factor as a function of the particle Reynolds number. Comparison with the variation of the fluctuation rate of the velocity gradient measured at a microprobe inside a similar packed bed by Seguin (1997).

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