Forced Convection in a Circular Pipe with a Partially Filled Porous Medium

  • Kim, Woo-Tae (Department of Chemical Engineering & Data Storage Systems Center, Carnegie Mellon University) ;
  • Hong, Ki-Hyuek (Department of Chemical Engineering & Data Storage Systems Center, Carnegie Mellon University) ;
  • Myung S. Jhon (Department of Chemical Engineering & Data Storage Systems Center, Carnegie Mellon University) ;
  • John G. VanOsdo (National Energy Technology Laboratory, U.S. Department of Energyl) ;
  • Duane H. Smith (National Energy Technology Laboratory, U.S. Department of Energy)
  • Published : 2003.10.01

Abstract

A study of forced convection in a circular pipe with a partially filled porous medium was numerically investigated. The Brinkman-Forchheimer extension of the Darcy model was used to analyze the and temperature distribution in the porous medium. Our study includes two types of porous layer configurations: (1) a layer attached at the tube wall extending inward towards the centerline and (2) a layer at the centerline extending outward. The effect of several parameters, such as Darcy number, effective viscosity, effective thermal conductivity, and inertia parameter, as well as the effect of geometric parameters, were investigated.

Keywords

References

  1. Ahmadi, G. and Smith, D. H., 2002, 'Gas Flow and Particle Deposition in the Hot-Gas Filter Vessel of the Pinon Pine Project,' Power Technology, Vol. 128, No. 1, pp. 1-10 https://doi.org/10.1016/S0032-5910(02)00166-3
  2. Ahmadi, G. and Smith, D. H., 2002b, 'Analysis of Steady-state Filtration and Backpulse Process in a Hot-Gas Filter Vessel,' Aerosol Science and Technology , Vol. 36, No. 6, pp. 665-667 https://doi.org/10.1080/02786820290038357
  3. Ahmadi, G. and Smith, D. H., 1998, 'Particle Transport and Deposition in a Hot-Gas Cleanup Pilot Plant,' Aerosol Science and Technology, Vol. 29, No. 3, pp. 183-205 https://doi.org/10.1080/02786829808965563
  4. Back, Y.R., Chung, D.K., Jeong, H.I, Kang, S.C. and Jhon, M.S., 1997, 'Permeability Effects of the Ceramic Candle Filter on Back-pulse Cleaning system,' KSME International Journal, Vol. 11, No. 3, pp. 359-366
  5. Bejan, A., 1995, Convective Heat Transfer, Wiley, New York, NY
  6. Ethier, C. R. and Kamm, R. D., 1989, 'Flow Through Partially Gel-filled Channels,' Physicochemical Hydrodynamics, Vol. 11, pp. 219-227
  7. HE, W., Yi, J. S. and Nguyen, T. V., 2000, 'Two-Phase Flow Model of the Cathode of PEM Fuel Cells Using Interdigitated Flow Fields,' AIChE Journal, Vol. 46, pp. 2053-2064 https://doi.org/10.1002/aic.690461016
  8. Jeong, Y. S., LEE, S. M., Kim, N. K. and Hwang, J. M., 1998, 'A Study on Combustion Characteristics of Superadiabatic Combustor in Porous Media,' KSME International Journal, Vol. 12, No. 4, pp. 680-687
  9. Kaviany, M., 1985, 'Laminar Flow Through a Porous Channel Bounded by Isothermal Parallel Plates,' International Journal of Heat and Mass Transfer, Vol. 28, pp. 851-858 https://doi.org/10.1016/0017-9310(85)90234-0
  10. Mckenzie, P. F., Kapur, V. and Anderson, J. L., 1994, 'Effects of Adsorbed Homopolymer and Diblock copolymer on Molecular-Transport in Micropores,' Colloids and Surfaces A, Vol. 86, pp. 263-274 https://doi.org/10.1016/0927-7757(93)02721-P
  11. Nguyen, T. V. and He, W. , 2002, Interdigitated Flow Field Design : Experimental Results and Theoretical Calculations, In Handbook of Fuel Cell Technology : Fuel Cell Technology and Applications, Volume III (Edited by Vielstioch, W., Gasteiger, H., and Lamm, A.) Wiley, New York, NY
  12. Nield, D. A. and Bejan, A., 1992, Convection in Porous Media, Springer, New York, NY
  13. Nield, D. A., Junqueira. S. L. M. and Lage, J. L., 1996, 'Forced Convection in a Fluid Saturated Porous-Medium with Isothermal or Isoflux Boundaries,' Journal of Fluid Mechanics, Vol. 322, pp. 201-214 https://doi.org/10.1017/S0022112096002765
  14. Poulikakos, D. amd Kazmierczak, M., 1987, 'Forced Convection in a Duct Partially filled with a Porous Material,' ASME Journal of Heat Transfer, Vol. 109, No. 3, pp. 653-662
  15. Poulikakos, D. and Renken, K., 1987, 'Forced Convection in a Channel Filled with Porous Medium, Including the Effects of Flow Inertia, Variable Porosity, and Brinkman Friction,' ASME Journal of Heat Transfer, Vol. 109, No. 4, pp. 880-888
  16. Vafai, K. and Kim, S. J., 1989, 'Forced Convection in a Channel Filled with a Porous Medium : An Exact Solution,' ASME Journal of Heat Transfer, Vol. 111, pp. 1103-1106
  17. Webber, R. M., Anderson, J. L. and Jhon, M. S., 1990, 'Hydrodynamic Studies of Adsorbed Diblock Copolymers in Porous Membranes,' Macromolecules, Vol. 23, No. 4, pp. 1026-1034 https://doi.org/10.1021/ma00206a020