Hydraulic permeability of fibrous porous media

International Journal of Heat and Mass Transfer

Volumn 54, Issue 17-18, 2011, Pages 4009-4018

  Shou, Dahua ^a   Fan, Jintu ^a   Ding, Feng ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Analytical model; Fibrous media; Hydraulic permeability

Indexed keywords

ANALYTICAL MODEL; DEGREE OF RANDOMNESS; FIBER DISTRIBUTION; FIBER ORIENTATIONS; FIBER RADIUS; FIBROUS MEDIA; FIBROUS POROUS MEDIA; FLOWTHROUGH; FORMATION FACTOR; HIGH POROSITY; HYDRAULIC PERMEABILITY; IN-PLANE; NEW MODEL; NUMERICAL RESULTS; REPETITIVE UNITS; SLIP EFFECTS; THREE DIMENSIONAL (3D) STRUCTURES; VOLUME AVERAGING METHOD; VORONOI TESSELLATIONS;

FIBERS; MATHEMATICAL MODELS; POROSITY; POROUS MATERIALS; RANDOM PROCESSES; THREE DIMENSIONAL;

HYDRAULICS;

EID: 79958010211     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2011.04.022     Document Type: Article

References (32)

1. M.P. Sobera, and C.R. Kleijn Hydraulic permeability of ordered and disordered single-layer arrays of cylinders Phys. Rev. E 74 3 2006 036302-1 036302-10
2. J.T. Gostick, M.W. Fowler, M.D. Pritzker, M.A. Ioannidis, and L.M. Behra In-plane and through-plane gas permeability of carbon fiber electrode backing layers J. Power Sources 162 1 2006 228 238 (Pubitemid 44573770)
3. M.M. Tomadakis, and T.J. Robertson Viscous permeability of random fiber structures: comparison of electrical and diffusional estimates with experimental and analytical results J. Compos. Mater. 39 2 2005 163 188 (Pubitemid 40493779)
4. D.H. Shou, J.T. Fan, and F. Ding A difference-fractal model for the permeability of fibrous porous media Phys. Lett. A 374 10 2010 1201 1204
5. R.C. Brown Air Filtration: An Integrated Approach to the Theory and Application of Fibrous Filters 1993 Pergamon Press Oxford
6. G.W. Jackson, and D.F. James The permeability of fibrous porous-media Can. J. Chem. Eng. 64 3 1986 364 374
7. S. Kuwabara The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds numbers J. Phys. Soc. Jpn. 14 4 1959 527 532
8. J. Happel Viscous flow relative to arrays of cylinders AIChE J. 5 1959 174 177
9. A.S. Sangani, and C. Yao Transport processes in random arrays of cylinders. 2: viscous-flow Phys. Fluids 31 9 1988 2435 2444
10. J.J.L. Higdon, and G.D. Ford Permeability of three-dimensional models of fibrous porous media J. Fluid Mech. 308 1996 341 361
11. D.S. Clague, and R.J. Phillips A numerical calculation of the hydraulic permeability of three-dimensional disordered fibrous media Phys. Fluids 9 6 1997 1562 1572
12. A. Koponen, D. Kandhai, E. Hellen, M. Alava, A. Hoekstra, M. Kataja, K. Niskanen, P. Sloot, and J. Timonen Permeability of three-dimensional random fiber webs Phys. Rev. Lett. 80 4 1998 716 719 (Pubitemid 128623844)
13. A. Tamayol, and M. Bahrami Analytical determination of viscous permeability of fibrous porous media Int. J. Heat Mass Transfer 52 9-10 2009 2407 2414
14. A. Tamayol, M. Bahrami, Transverse permeability of fibrous porous media, in: Proceedings of the 3rd International Conference on Porous Media and its Applications in Science and Engineering, Montecatini, Italy, 2010.
15. M.A. Tahir, and H.V. Tafreshi Influence of fiber orientation on the transverse permeability of fibrous media Phys. Fluids 21 8 2009 083604-1 083604-5
16. G.L. Morini, M. Spiga, and P. Tartarini The rarefaction effect on the friction factor of gas flow in microchannels Superlattice Microstruct. 35 3-6 2004 587 599
17. C.Y. Wang Stokes slip flow through square and triangular arrays of circular cylinders Fluid Dyn. Res. 32 5 2003 233 246 (Pubitemid 36632284)
18. J.S. Ferenc, and Z. Neda On the size distribution of Poisson Voronoi cells Physica A 385 2 2007 518 526 (Pubitemid 47432898)
19. D.Y.C. Chan, B.D. Hughes, and L. Paterson Fluid capacity distributions of random porous media Transp. Porous Media 3 1 1988 81 94 (Pubitemid 18593415)
20. F.J. Valdes-Parada, J.A. Ochoa-Tapia, and J. Alvarez-Ramirez Validity of the permeability Carman-Kozeny equation: a volume averaging approach Physica A 388 6 2009 789 798
21. T. Stylianopoulos, A. Yeckel, J.J. Derby, X.J. Luo, M.S. Shephard, E.A. Sander, and V.H. Barocas Permeability calculations in three-dimensional isotropic and oriented fiber networks Phys. Fluids 20 12 2008
22. K.J. Mattern, and W.M. Deen "Mixing Rules" for estimating the hydraulic permeability of fiber mixtures AIChE J. 54 1 2008 32 41
23. A. Tamayol, M. Bahrami, In-Plane Gas Permeability Of Proton Exchange Membrane Fuel Cell Gas Diffusion Layers, in: Proceedings of the ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting and 8th International Conference on Nanochannels, Microchannels, and Minichannels, Montreal, Canada, 2010.
24. A.A. Kirsch, and N.A. Fuchs Studies on fibrous aerosol filters. II: Pressure drops in systems of parallel cylinders Ann. Occup. Hyg. 10 1967 23 30
25. A.S. Sangani, and A. Acrivos Slow flow past periodic arrays of cylinders with application to heat-transfer Int. J. Multiphase Flow 8 3 1982 193 206 (Pubitemid 12553801)
26. R.R. Sullivan Specific surface measurement on compact bundles of parallel fibers J. Appl. Phys. 13 1942 725 730
27. A. Tamayol, M. Bahrami, Aame, Parallel flow in ordered fibrous structures: an analytical approach, in: Proceedings of the Asme Fluids Engineering Division Summer Conference, vol. 1, Pts a-C, 2009, pp. 1311-1321.
28. W.L. Ingmanson, B.D. Andrews, and R.C. Johnson Internal pressure distributions in compressible mats under fluid stress Tappi J. 42 10 1959 840 849
29. J.A. Wheat The air flow resistance of glass fiber filter paper Can. J. Chem. Eng. 41 1963 67 72
30. R.P. Labrecque The effects of fiber cross-sectional shape on the resistance to the flow of fluids through fiber mats Tappi J. 51 1 1968 8 15
31. E.J. Wiggins, W.B. Campbell, and O. Maass Determination of the specific surface of fibrous materials Can. J. Res. 17B 1939 318 324
32. O. Rahli, L. Tadrist, M. Miscevic, and R. Santini Fluid flow through randomly packed monodisperse fibers: the Kozeny-Carman parameter analysis J. Fluid. Eng. 119 1 1997 188 192 (Pubitemid 127564419)