Hydrodynamic dispersion in open cell polymer foam

Physics of Fluids

Volumn 23, Issue 9, 2011, Pages

  Brosten, Tyler R ^a   Codd, Sarah L ^a   Maier, Robert S ^b   Seymour, Joseph D ^a  

^a Idaho National Laboratory   (United States)

^b US ARMY ENGINEER RESEARCH AND DEVELOPMENT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIONS; DYNAMICS; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; STATISTICAL MECHANICS;

DIMENSIONLESS SCALING; DISPLACEMENT DYNAMICS; HYDRODYNAMIC DISPERSIONS; LATTICE BOLTZMANN SIMULATIONS; MOLECULAR DISPLACEMENTS; NON-EQUILIBRIUM STATISTICAL MECHANICS; OPEN CELL POLYMERS; RANDOM WALK PARTICLE TRACKING;

NUCLEAR MAGNETIC RESONANCE;

EID: 80053425495     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3639269     Document Type: Article

References (53)

1. Gibson L.J. Ashby M.F. Cellular Solids: Structure and Properties 1997, and 2nd ed. (Cambridge University Press, Cambridge, UK).
2. Twigg M.V. Richardson J.T. Fundamentals and applications of structured ceramic foam catalysts. Ind. Eng. Chem. Res. 2007, 46:4166. 10.1021/ie061122o
3. Banhart J. Manufacture, characterisation and application of cellular metals and metal foams. Prog. Mater. Sci. 2001, 46:559. 10.1016/S0079-6425(00)00002-5
4. Richardson J.T. Remue D. Hung J.K. Properties of ceramic foam catalyst supports: Mass and heat transfer. Appl. Catal., A 2003, 250:319. 10.1016/S0926-860X(03)00287-4
5. Banhart J. Weaire D. On the road again: Metal foams find favor. Phys. Today 2002, 55:37. 10.1063/1.1506749
6. Kraynik A.M. Reinelt D.A. van Swol F. Structure of random foam. Phys. Rev. Lett. 2004, 93:208301. 10.1103/PhysRevLett.93.208301
7. Montminy M.D. Tannenbaum A.R. Macosko C.W. The 3D structure of real polymer foams. J. Colloid Interface Sci. 2004, 280:202. 10.1016/j.jcis.2004.07.032
8. Seymour J.D. Callaghan P.T. "Flow-Diffraction" structural characterization and measurement of hydrodynamic dispersion in porous media by PGSE NMR. J. Magn. Reson., Ser. A 1996, 122:90. 10.1006/jmra.1996.0182
9. Seymour J.D. Callaghan P.T. Generalized approach to NMR analysis of flow and dispersion in porous media. AIChE J. 1997, 43:2096. 10.1002/aic.v43:8
10. Scheven U.M. Verganelakis D. Harris R. Johns M.L. Gladden L.F. Quantitative nuclear magnetic resonance measurements of preasymptotic dispersion in flow through porous media. Phys. Fluids 2005, 17:117107. 10.1063/1.2131871
11. Stapf S. Packer K.J. Graham R.G. Thovert J.F. Adler P.M. Spatial correlations and dispersion for fluid transport through packed glass beads studied by pulsed field-gradient NMR. Phys. Rev. E 1998, 58:6206. 10.1103/PhysRevE.58.6206
12. Scheven U.M. Harris R. Johns M.L. Intrinsic dispersivity of randomly packed monodisperse spheres. Phys. Rev. Lett. 2007, 99:054502. 10.1103/PhysRevLett.99.054502
13. Scheven U.M. Sen P.N. Spatial and temporal coarse graining for dispersion in randomly packed spheres. Phys. Rev. Lett. 2002, 89:254501. 10.1103/PhysRevLett.89.254501
14. Manz B. Gladden L.F. Warren P.B. Flow and dispersion in porous media: Lattice-Boltzmann and NMR studies. AIChE J. 1999, 45:1845. 10.1002/aic.v45:9
15. Maier R.S. Kroll D.M. Bernard R.S. Howington S.E. Peters J.F. Davis H.T. Pore-scale simulation of dispersion. Phys. Fluids 2000, 12:2065. 10.1063/1.870452
16. Quintard M. Whitaker S. Transport in Ordered and Disordered Porous-Media - Volume-Averaged Equations, Closure Problems, and Comparison with Experiment. Chem. Eng. Sci. 1993, 48:2537. 10.1016/0009-2509(93)80266-S
17. Sahimi M. Heterogeneous Materials 2003, (Springer, New York).
18. Tallarek U. Leinweber F.C. Seidel-Morgenstern A. Fluid dynamics in monolithic adsorbents: Phenomenological approach to equivalent particle dimensions. Chem. Eng. Technol. 2002, 25:1177. 10.1002/1521-4125(20021210)25:12<1177::AID-CEAT1177>3.0.CO;2-V
19. Kose K. 3D NMR imaging of foam structures. J. Magn. Resonan. Ser. A 1996, 118:195. 10.1006/jmra.1996.0027
20. Xu S.J. Harel E. Michalak D.J. Crawford C.W. Budker D. Pines A. Flow in porous metallic materials: A magnetic resonance imaging study. J. Magn. Reson Imaging 2008, 28:1299. 10.1002/jmri.21532
21. von der Schulenburg D.A. G. Paterson-Beedle M. Macaskie L.E. Gladden L.F. Johns M.L. Flow through an evolving porous media-compressed foam. J. Mater. Sci. 2007, 42:6541. 10.1007/s10853-007-1523-z
22. Brosten T.R. Codd S.L. Maier R.S. Seymour J.D. Dynamic length-scale characterization and nonequilibrium statistical mechanics of transport in open-cell foams. Phys. Rev. Lett. 2009, 103:218001. 10.1103/PhysRevLett.103.218001
23. Callaghan P.T. Coy A. MacGowan D. Packer K.J. Zelaya F.O. Diffraction-like effects in NMR diffusion studies of fluids in porous solids. Nature 1991, 351:467. 10.1038/351467a0
24. Mitra P.P. Sen P.N. Schwartz L.M. Short time behavior of the diffusion coefficient as a geometrical probe of porous media. Phys. Rev. B 1993, 47:8565. 10.1103/PhysRevB.47.8565
25. Seymour J.D. Callaghan P.T. Generalized approach to NMR analysis of flow and dispersion in porous medium. AIChE J. 1997, 43:2096. 10.1002/aic.v43:8
26. Callaghan P.T. Codd S.L. Flow coherence in a bead pack observed using frequency domain modulated gradient NMR. Phys. Fluids 2001, 13:412. 10.1063/1.1336810
27. Khrapitchev A.A. Callaghan P.T. Reversible and irreversible dispersion in a porous medium. Phys. Fluids 2003, 15:2649. 10.1063/1.1596914
28. Berne B.J. Boon J.P. Rice S.A. On the calculation of autocorrelation functions of dynamical variables. J. Chem. Phys. 1966, 45:1086. 10.1063/1.1727719
29. Boon J.P. Yip S. Molecular Hydrodynamics 1991, and (Dover, New York).
30. Ebeling W. Sokolov I.M. Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems 2005, and (World Scientific, Singapore).
31. Cushman J.H. Hu B.X. Ginn T.R. Nonequilibrium statistical mechanics of preasymptotic dispersion. J. Stat. Phys. 1994, 75:859. 10.1007/BF02186747
32. Perrot C. Panneton R. Olny X. Periodic unit cell reconstruction of porous media: Application to open-cell aluminum foams. J. Appl. Phys. 2007, 101:113538. 10.1063/1.2745095
33. Kwon Y.W. Cooke R.E. Park C. Representative unit-cell models for open-cell metal foams with or without elastic filler. Mater. Sci. Eng., A 2003, 343:63. 10.1016/S0921-5093(02)00360-X
34. Olurin O.B. Arnold M. Korner C. Singer R.F. The investigation of morphometric parameters of aluminium foams using micro-computed tomography. Mater. Sci. Eng. A 2002, 328:334. 10.1016/S0921-5093(01)01809-3
35. Bhattacharya A. Calmidi V.V. Mahajan R.L. Thermophysical properties of high porosity metal foams. Int. J. Heat Mass Transfer 2002, 45:1017. 10.1016/S0017-9310(01)00220-4
36. Fourie J.G. Du Plessis J.P. Pressure drop modelling in cellular metallic foams. Chem. Eng. Sci. 2002, 57:2781. 10.1016/S0009-2509(02)00166-5
37. Giani L. Groppi G. Tronconi E. Mass-transfer characterization of metallic foams as supports for structured catalysts. Ind. Eng. Chem. Res. 2005, 44:4993. 10.1021/ie0490886
38. Richardson J.T. Peng Y. Remue D. Properties of ceramic foam catalyst supports: Pressure drop. Appl. Catal. A 2000, 204:19. 10.1016/S0926-860X(00)00508-1
39. Callaghan P.T. Principles of Nuclear Magnetic Resonance Microscopy 1991, (Oxford University Press, Oxford, UK).
40. van Kampen N.G. Stochastic Processes in Physics and Chemsitry 2007, (North Holland, Amsterdam, The Netherlands).
41. Frydman L. Harwood J.S. Garnier D.N. Chingas G.C. Position displacement correlations in fluids from magnetic-resonance gradient-echo shapes. J. Magn. Reson. Ser. A 1993, 101:240. 10.1006/jmra.1993.1039
42. Stepisnik J. Measuring and imaging of flow by NMR. Prog. Nucl. Magn. Reson. Spectrosc. 1985, 17:187. 10.1016/0079-6565(85)80008-X
43. Stejskal E.O. Tanner J.E. Spin diffusion measurements - spin echoes in presence of a time-dependent field gradient. J. Chem. Phys. 1965, 42:288. 10.1063/1.1695690
44. Callaghan P.T. Codd S.L. Seymour J.D. Spatial coherence phenomena arising from translational spin motion in gradient spin echo experiments. Concepts Magn. Reson. 1999, 11:181. 10.1002/(SICI)1099-0534(1999)11:4 1.0.CO;2-D
45. Stapf S. Han S.I. Heine C. Blumich B. Spatiotemporal correlations in transport processes determined by multiple pulsed field gradient experiments. Concepts Magn. Reson. 2002, 14:172. 10.1002/cmr.v14:3
46. Codd S.L. Manz B. Seymour J.D. Callaghan P.T. Taylor dispersion and molecular displacements in Poiseuille flow. Phys. Rev. E 1999, 60:R3491. 10.1103/PhysRevE.60.R3491
47. Maier R.S. Kroll D.M. Kutsovsky Y.E. Davis H.T. Bernard R.S. Simulation of flow through bead packs using the lattice Boltzmann method. Phys. Fluids 1998, 10:60. 10.1063/1.869550
48. Koponen A. Simulations of Fluid Flow in Porous Media by Lattice-Gas and Lattice-Boltzmann Methods. 1998, Ph.D. thesis, University of Jyväkylä, Finland.
49. Brenner H. Adler P.M. Dispersion resulting from flow through spatially periodic porous media II. Surface and intraparticle transport. Philos. Trans. R. Soc. London., Ser. A 1982, 307:149. 10.1098/rsta.1982.0108
50. Johnson D.L. Koplik J. Schwartz L.M. New pore-size parameter characterizing transport in porous media. Phys. Rev. Lett. 1986, 57:2564. 10.1103/PhysRevLett.57.2564
51. Koch D.L. Brady J.F. Dispersion in fixed-beds. J. Fluid Mech. 1985, 154:399. 10.1017/S0022112085001598
52. Bijeljic B. Blunt M.J. Pore-scale modeling and continuous time random walk analysis of dispersion in porous media. Water Resour. Res. 2006, 42:W01202. 10.1029/2005WR004578
53. Mori H. A continued-fraction representation of the time-correlation functions. Prog. Theor. Phys. 1965, 34:399. 10.1143/PTP.34.399