Publikationsserver der Universitätsbibliothek Marburg

Titel:Computational investigation of diffusion, flow, and multi-scale mass transport in disordered and ordered materials using high-performance computing
Autor:Daneyko, Anton
Weitere Beteiligte: Tallarek, Ulrich (Prof. Dr.)
Veröffentlicht:2015
URI:https://archiv.ub.uni-marburg.de/diss/z2015/0362
DOI: https://doi.org/10.17192/z2015.0362
URN: urn:nbn:de:hebis:04-z2015-03622
DDC: Chemie
Titel (trans.):Hochleistungsrechnergestützte Untersuchung der Diffusion, des Flusses und des Multiskalenmassentransports in ungeordneten und geordneten Materialien
Publikationsdatum:2015-07-15
Lizenz:https://rightsstatements.org/vocab/InC-NC/1.0/

Dokument

Schlagwörter:
lattice Boltzmann method, hydrodynamische Dispersion, Irrfahrtsproblem, Packungsmikrostruktur, Diffusion, hydrodynamic dispersion, Trenneffizienz, random walk particle tracking, Zufallskugelpackungen, discontinuous diffusion coefficient, Hochleistungsrechnen, porous materials, HPLC, Gitter-Boltzmann-Methode

Summary:
Flow and mass transport processes through porous materials are ubiquitous in nature and industry. In order to study these phenomena, we developed a computational framework for massively parallel supercomputers based on lattice-Boltzmann and random-walk particle tracking methods. Using this framework, we simulated the flow and mass transport (advection-diffusion problem) in several types of ordered and disordered porous materials. The pore network of the materials was either generated algorithmically (using Jodrey-Tory method) or reconstructed using confocal laser scanning microscopy or scanning electron microscopy. The simulated flow velocity field and dynamics of the random-walk tracer ensemble were used to study the transient and asymptotic behavior of macroscopic transport parameters: permeability, effective diffusion, and hydrodynamic dispersion coefficients. This work has three distinct topics developed and analyzed in four chapters. Each chapter has been published as a separate study. The date of publication and corresponding journal name are denoted at the beginning of each chapter. The first part of this work (Chapter 1) is addressing a timely question of high-performance liquid chromatography on whether particle size distribution of the modern packing materials gives any advantage in terms of separation efficiency. The second part (Chapters 2 and 3) is focused on the effects of dimensionality and geometry of the channels on the transport inside different types of chromatographic supports (particulate packings, monoliths, and pillar arrays). In order to analyze these effects, we recorded transient values of the longitudinal and transverse hydrodynamic dispersion coefficients in unconfined, partially, and fully confined structures and analyzed the time and length scales of the transport phenomena within. In the last part of this work (Chapter 4) we investigated the influence of the shell thickness and diffusivity on separation efficiency of the core--shell packings. Based on the simulation results, we extended the Giddings theory of coupled eddy dispersion and confirmed the validity of the Kaczmarski-Guiochon model of interparticle mass-transfer. Overall, this study extends the understanding of the connection of geometry and morphology of the porous materials with their macroscopic transport parameters.

Bibliographie / References

  1. A. OKABE Spatial tessellations: concepts and applications of Voronoi diagrams 2nd ed. John Wiley & Sons, 2000 (see p. 55)
  2. G. GUIOCHON, A. FELINGER, A. M. KATTI, and D. G. SHIRAZI Fundamentals of Preparative and Nonlinear Chromatography Elsevier, 2006 (see p. 17)
  3. J. E. GENTLE Random Number Generation and Monte Carlo Methods 2nd ed. Springer, 2003 (see pp. 10, 77)
  4. S. SUCCI The lattice Boltzmann equation for fluid dynamics and beyond Oxford University Press, 2001 (see pp. 38, 81 – 83)
  5. F. A. L. DULLIEN Porous media: fluid transport and pore structure 2nd ed. Academic Press, 1992 (see pp. 13, 14)
  6. ROTHMAN D. H. and ZALESKI S. Lattice-Gas Cellular Automata Cambrige Unversity Press, 1997 (see pp. 39, 82, 83)
  7. J. A. RUDNICK and G. D. GASPARI Elements of the random walk: an introduction for advanced students and researchers Cambridge University Press, 2004 (see pp. 11, 41, 85, 116)
  8. J. J. KIRKLAND, T. J. LANGLOIS, and J. J. DESTEFANO " Fused core particles for HPLC columns " in: American Laboratory 39.8 (2007), pp. 18 – 21 (see pp. 8, 75, 111)
  9. W. MUNK and C. WUNSCH " Abyssal recipes II: energetics of tidal and wind mixing " in: Deep Sea Research Part I: Oceanographic Research Papers 45.12 (1998), pp. 1977 – 2010 DOI: 10 . 1016 / S0967-0637(98)00070-3 (see p. 1)
  10. J. HERNÁNDEZ-BORGES, Z. ATURKI, A. ROCCO, and S. FANALI " Recent applications in nanoliquid chromatography " in: Journal of Separation Science 30 (2007), pp. 1589 – 1610 DOI: 10.1002/ jssc.200700061 (see pp. 29, 48)
  11. U. TALLAREK, F. C. LEINWEBER, and A. SEIDEL-MORGENSTERN " Fluid Dynamics in Monolithic Adsorbents: Phenomenological Approach to Equivalent Particle Dimensions " in: Chemical Engi- neering & Technology 25.12 (2002), pp. 1177 – 1181 DOI: 10.1002/1521-4125(20021210)25: 12<1177::AID-CEAT1177>3.0.CO;2-V (see pp. 95, 107)
  12. H. HE, M. ZHONG, D. KONKOLEWICZ, K. YACATTO, T. RAPPOLD, G. SUGAR, N. E. DAVID, J. GELB, N. KOTWAL, A. MERKLE, and K. MATYJASZEWSKI " Three-dimensionally ordered macroporous polymeric materials by colloidal crystal templating for reversible CO2 capture " in: Advanced Functional Materials 23.37 (2013), pp. 4720 – 4728 DOI: 10.1002/adfm.201300401 (see p. 2)
  13. M. GIESE, K. ROTTSCHÄFER, and D. VORTMEYER " Measured and modeled superficial flow profiles in packed beds with liquid flow " in: AIChE Journal 44.2 (1998), pp. 484 – 490 DOI: 10.1002/aic.
  14. X. REN, S. STAPF, and B. BLÜMICH " NMR velocimetry of flow in model fixed-bed reactors of low aspect ratio " in: AIChE Journal 51.2 (2005), pp. 392 – 405 DOI: 10.1002/aic.10318 (see p. 88)
  15. R. S. MAIER, D. M. KROLL, and H. T. DAVIS " Diameter-dependent dispersion in packed cylinders " in: AIChE Journal 53 (2007), pp. 527 – 530 DOI: 10.1002/aic.11083 (see pp. 32, 46, 47, 52)
  16. F. GRITTI and G. GUIOCHON " Impact of retention on trans-column velocity biases in packed columns " in: AIChE Journal 56.6 (2010), pp. 1495 – 1509 DOI: 10.1002/aic.12074 (see pp. 31, 52, 70, 92)
  17. F. GRITTI and G. GUIOCHON " Importance of sample intraparticle diffusivity in investigations of the mass transfer mechanism in liquid chromatography " in: AIChE Journal 57.2 (2011), pp. 346 – 358 DOI: 10.1002/aic.12280 (see p. 70)
  18. N. W. HAN, J. BHAKTA, and R. G. CARBONELL " Longitudinal and lateral dispersion in packed beds: effect of column length and particle size distribution " in: AIChE Journal 31 (1985), pp. 277 – 288 DOI: 10.1002/aic.690310215 (see p. 93)
  19. M. L. JOHNS, A. J. SEDERMAN, A. S. BRAMLEY, L. F. GLADDEN, and P. ALEXANDER " Local transi- tions in flow phenomena through packed beds identified by MRI " in: AIChE Journal 46.11 (2000), pp. 2151 – 2161 DOI: 10.1002/aic.690461108 (see p. 88)
  20. B. G. YEW, J. URETA, R. A. SHALLIKER, E. C. DRUMM, and G. GUIOCHON " Mechanics of column beds: II. Modeling of coupled stress – strain-flow behavior " in: AIChE Journal 49 (2003), pp. 642 – 664 DOI: 10.1002/aic.690490310 (see pp. 9, 22, 29, 31, 56, 71)
  21. A. DE KLERK " Voidage variation in packed beds at small column to particle diameter ratio " in: AIChE Journal 49 (2003), pp. 2022 – 2029 DOI: 10.1002/aic.690490812 (see pp. 28, 31, 71)
  22. S. STAPF, SONG-I HAN, C. HEINE, and B. BLÜMICH " Spatiotemporal correlations in transport processes determined by multiple pulsed field gradient experiments " in: Concepts in Magnetic Resonance 14.3 (2002), pp. 172 – 211 DOI: 10.1002/cmr.10021 (see p. 103)
  23. K. W. RO, R. NAYAK, and D. R. KNAPP " Monolithic media in microfluidic devices for proteomics " in: Electrophoresis 27 (2006), pp. 3547 – 3558 DOI: 10.1002/elps.200600058 (see p. 30)
  24. K. FAURE " Liquid chromatography on chip " in: Electrophoresis 31.15 (2010), pp. 2499 – 511 DOI: 10.1002/elps.201000051 (see pp. 29, 30, 48)
  25. D. HLUSHKOU, D. KANDHAI, and U. TALLAREK " Coupled lattice-Boltzmann and finite-difference simulation of electroosmosis in microfluidic channels " in: International Journal for Numerical Methods in Fluids 46.5 (2004), pp. 507 – 532 DOI: 10.1002/fld.765 (see p. 43)
  26. S. EHLERT, T. RÖSLER, and U. TALLAREK " Packing density of slurry-packed capillaries at low aspect ratios " in: Journal of Separation Science 31 (2008), pp. 1719 – 1728 DOI: 10.1002/jssc. 200800018 (see p. 29)
  27. K. KANAMORI, H. YONEZAWA, K. NAKANISHI, K. HIRAO, and H. JINNAI " Structural formation of hybrid siloxane-based polymer monolith in confined spaces " in: Journal of Separation Science 27.10-11 (2004), pp. 874 – 886 DOI: 10.1002/jssc.200401816 (see p. 72)
  28. M. MOTOKAWA, M. OHIRA, H. MINAKUCHI, K. NAKANISHI, and N. TANAKA " Performance of octade- cylsilylated monolithic silica capillary columns of 530 µm inner diameter in HPLC " in: Journal of Separation Science 29.16 (2006), pp. 2471 – 2477 DOI: 10.1002/jssc.200600335 (see p. 72)
  29. H. EGHBALI, W. DE MALSCHE, J. DE SMET, J. BILLEN, M. DE PRA, W. TH. KOK, P. J. SCHOEN- MAKERS, H. GARDENIERS, and G. DESMET " Experimental investigation of the band broadening originating from the top and bottom walls in micromachined nonporous pillar array columns " in: Journal of Separation Science 30 (2007), pp. 2605 – 2613 DOI: 10.1002/jssc.200700203 (see p. 45)
  30. J. M. SAZ and M. L. MARINA " Application of micro-and nano-HPLC to the determination and characterization of bioactive and biomarker peptides " in: Journal of Separation Science 31 (2008), pp. 446 – 458 DOI: 10.1002/jssc.200700589 (see pp. 29, 48)
  31. R. W. BRICE, X. ZHANG, and L. A. COLÓN " Fused-core, sub-2 µm packings, and monolithic HPLC columns: a comparative evaluation " in: Journal of Separation Science 32.15-16 (2009), pp. 2723 – 31 DOI: 10.1002/jssc.200900091 (see p. 111)
  32. J. S. BAKER, J. C. VINCI, A. D. MOORE, and L. A COLÓN " Physical characterization and evaluation of HPLC columns packed with superficially porous particles " in: Journal of Separation Science 33.17-18 (2010), pp. 2547 – 57 DOI: 10.1002/jssc.201000251 (see p. 8)
  33. D. HLUSHKOU, S. BRUNS, A. SEIDEL-MORGENSTERN, and U. TALLAREK " Morphology-transport relationships for silica monoliths: From physical reconstruction to pore-scale simulations " in: Journal of Separation Science 34.16-17 (2011), pp. 2026 – 37 DOI: 10.1002/jssc.201100158 (see pp. 44, 75, 79, 81, 84, 93, 95, 96, 114)
  34. M.H. BLEES and J.C. LEYTE " The effective translational self-diffusion coefficient of small molecules in colloidal crystals of spherical particles " in: Journal of Colloid and Interface Science 166.1 (1994), pp. 118 – 127 DOI: 10.1006/jcis.1994.1278 (see pp. 122, 123)
  35. D. KANDHAI, A. KOPONEN, A. G. HOEKSTRA, M. KATAJA, J. TIMONEN, and P. M. A. SLOOT " Im- plementation aspects of 3D lattice-BGK: boundaries, accuracy, and a new fast relaxation method " in: Journal of Computational Physics 150 (1999), pp. 482 – 501 DOI: 10.1006/jcph.1999.6191 (see p. 6)
  36. C. BARDOS, F. GOLSE, and D. LEVERMORE " Fluid dynamic limits of kinetic equations. I. For- mal derivations " in: Journal of Statistical Physics 63.1-2 (1991), pp. 323 – 344 DOI: 10.1007/ BF01026608 (see p. 4)
  37. D. A. EDWARDS, M. SHAPIRO, H. BRENNER, and M. SHAPIRA " Dispersion of inert solutes in spatially periodic, two-dimensional model porous media " in: Transport in Porous Media 6.4 (1991), pp. 337 – 358 DOI: 10.1007/BF00136346 (see pp. 3, 57, 99)
  38. I. NISCHANG, O. BRUEGGEMANN, and F. SVEC " Advances in the preparation of porous polymer monoliths in capillaries and microfluidic chips with focus on morphological aspects " in: Analytical and Bioanalytical Chemistry 397.3 (2010), pp. 953 – 60 DOI: 10.1007/s00216-010-3550-x (see p. 30)
  39. P. JANDERA, T. HÁJEK, and M. STASTAˇSTAŇKOVÁ " Monolithic and core-shell columns in comprehen- sive two-dimensional HPLC: a review " in: Analytical and Bioanalytical Chemistry 407.1 (2015), pp. 139 – 51 DOI: 10.1007/s00216-014-8147-3 (see p. 111)
  40. D. BUYUKTAS and W. W. WALLENDER " Dispersion in spatially periodic porous media " in: Heat and Mass Transfer 40 (2004), pp. 261 – 270 DOI: 10.1007/s00231-003-0441-0 (see pp. 57, 99)
  41. J. M. P. Q. DELGADO " A critical review of dispersion in packed beds " in: Heat and Mass Transfer 42 (2006), pp. 279 – 310 DOI: 10.1007/s00231-005-0019-0 (see pp. 28, 31, 49, 69, 74)
  42. J. H. KNOX " Band dispersion in chromatography — a universal expression for the contribution from the mobile zone " in: Journal of Chromatography A 960 (2002), pp. 7 – 18 DOI: 10.1016/ S0021-9673(02)00240-6 (see p. 49)
  43. J. J. VAN DEEMTER, F. J. ZUIDERWEG, and A. KLINKENBERG " Longitudinal diffusion and resistance to mass transfer as causes of nonideality in chromatography " in: Chemical Engineering Science 5 (1956), pp. 271 – 289 DOI: 10.1016/0009-2509(56)80003-1 (see p. 111)
  44. M. QUINTARD and S. WHITAKER " Transport in ordered and disordered porous media: Volume- averaged equations, closure problems, and comparison with experiment " in: Chemical Engineering Science 48 (1993), pp. 2537 – 2564 DOI: 10.1016/0009-2509(93)80266-S (see p. 3)
  45. A. S. SANGANI and A. ACRIVOS " Slow flow through a periodic array of spheres " in: International Journal of Multiphase Flow 8 (1982), pp. 343 – 360 DOI: 10.1016/0301-9322(82)90047-7 (see p. 121)
  46. P. M. ADLER, M. ZUZOVSKY, and H. BRENNER " Spatially periodic suspensions of convex particles in linear shear flows. II. Rheology " in: International Journal of Multiphase Flow 11 (1985), pp. 387 – 417 DOI: 10.1016/0301-9322(85)90064-3 (see pp. 11, 40)
  47. A.D. DAUS, E.O. FRIND, and E.A. SUDICKY " Comparative error analysis in finite element formula- tions of the advection-dispersion equation " in: Advances in Water Resources 8.2 (1985), pp. 86 – 95 DOI: 10.1016/0309-1708(85)90005-3 (see p. 5)
  48. M. QUINTARD and S. WHITAKER " Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media " in: Advances in Water Resources 17.4 (1994), pp. 221 – 239 DOI: 10.1016/0309-1708(94)90002-7 (see p. 99)
  49. M. RASHIDI, L. PEURRUNG, A. F. B. TOMPSON, and T. J. KULP " Experimental analysis of pore-scale flow and transport in porous media " in: Advances in Water Resources 19.3 (1996), pp. 163 – 180 DOI: 10.1016/0309-1708(95)00048-8 (see p. 88)
  50. R. BENZI, S. SUCCI, and M. VERGASSOLA " The lattice Boltzmann equation: theory and applica- tions " in: Physics Reports 222 (1992), pp. 145 – 197 DOI: 10.1016/0370-1573(92)90090-M (see pp. 38, 81, 82)
  51. C.-Y. SHIH, Y. CHEN, J. XIE, Q. HE, and Y.-C. TAI " On-chip temperature gradient interaction chromatography " in: Journal of Chromatography A 1111 (2006), pp. 272 – 278 DOI: 10.1016/j. chroma.2005.08.075 (see p. 30)
  52. M. VÁZQUEZ and B. PAULL " Review on recent and advanced applications of monoliths and related porous polymer gels in micro-fluidic devices " in: Analytica Chimica Acta 668.2 (2010), pp. 100 – 13 DOI: 10.1016/j.aca.2010.04.033 (see p. 30)
  53. M. L. PORTER, F. J. VALDÉS-PARADA, and B. D. WOOD " Comparison of theory and experiments for dispersion in homogeneous porous media " in: Advances in Water Resources 33.9 (2010), pp. 1043 – 1052 DOI: 10.1016/j.advwatres.2010.06.007 (see pp. 99, 103)
  54. F. GRITTI and G. GUIOCHON " Comparison of heat friction effects in narrow-bore columns packed with core – shell and totally porous particles " in: Chemical Engineering Science 65.23 (2010), pp. 6310 – 6319 DOI: 10.1016/j.ces.2010.09.019 (see p. 111)
  55. F. GRITTI and G. GUIOCHON " Non-invasive measurement of eddy diffusion in very efficient liquid chromatography columns packed with sub-3 µm shell particles " in: Chemical Engineering Science 65.23 (2010), pp. 6327 – 6340 DOI: 10.1016/j.ces.2010.09.021 (see pp. 20, 43, 51, 71)
  56. D. HLUSHKOU and U. TALLAREK " Transition from creeping via viscous-inertial to turbulent flow in fixed beds " in: Journal of Chromatography A 1126 (2006), pp. 70 – 85 DOI: 10.1016/j.chroma. 2006.06.011 (see pp. 2, 83, 86, 88)
  57. K. W. RO, J. LIU, and D. R. KNAPP " Plastic microchip liquid chromatography-matrix-assisted laser desorption/ionization mass spectrometry using monolithic columns " in: Journal of Chromatogra- phy A 1111 (2006), pp. 40 – 47 DOI: 10.1016/j.chroma.2006.01.105 (see p. 30)
  58. M. R. SCHURE and R. S. MAIER " How does column packing microstructure affect column effi- ciency in liquid chromatography? " in: Journal of Chromatography A 1126 (2006), pp. 58 – 69 DOI: 10.1016/j.chroma.2006.05.066 (see pp. 32, 81, 93, 113)
  59. G. GUIOCHON " The limits of the separation power of unidimensional column liquid chromatogra- phy " in: Journal of Chromatography A 1126 (2006), pp. 6 – 49 DOI: 10.1016/j.chroma.2006.07. 032 (see pp. 31, 52, 63, 69)
  60. A. ISHIDA, T. YOSHIKAWA, M. NATSUME, and T. KAMIDATE " Reversed-phase liquid chromatography on a microchip with sample injector and monolithic silica column " in: Journal of Chromatography A 1132 (2006), pp. 90 – 98 DOI: 10.1016/j.chroma.2006.07.025 (see p. 30)
  61. N. WU, Y. LIU, and M. L LEE " Sub-2 µm porous and nonporous particles for fast separation in reversed-phase high performance liquid chromatography " in: Journal of Chromatography A 1131.1-2 (2006), pp. 142 – 50 DOI: 10.1016/j.chroma.2006.07.042 (see p. 58)
  62. J. DE SMET, P. GZIL, G. V. BARON, and G. DESMET " On the 3-dimensional effects in etched chips for high performance liquid chromatography-separations " in: Journal of Chromatography A 1154 (2007), pp. 189 – 197 DOI: 10.1016/j.chroma.2007.03.076 (see p. 57)
  63. G. GUIOCHON " Monolithic columns in high-performance liquid chromatography " in: Journal of Chromatography A 1168.1-2 (2007), 101 – 68; discussion 100 DOI: 10.1016/j.chroma.2007.05. 090 (see p. 71)
  64. M. DE PRA, W. TH. KOK, and P. J. SCHOENMAKERS " Topographic structures and chromatographic supports in microfluidic separation devices " in: Journal of Chromatography A 1184 (2008), pp. 560 – 572 DOI: 10.1016/j.chroma.2007.09.086 (see p. 30)
  65. D. CABOOTER, J. BILLEN, H. TERRYN, F. LYNEN, P. SANDRA, and G. DESMET " Detailed character- isation of the flow resistance of commercial sub-2 µm reversed-phase columns " in: Journal of Chromatography A 1178 (2008), pp. 108 – 117 DOI: 10.1016/j.chroma.2007.11.086 (see p. 17)
  66. K. MIYABE " Evaluation of Chromatographic performance of various packing materials having different structural characteristics as stationary phase for fast high performance liquid chromatog- raphy by new moment equations " in: Journal of Chromatography A 1183.1-2 (2008), pp. 49 – 64 DOI: 10.1016/j.chroma.2007.12.064 (see p. 70)
  67. P. A. LEVKIN, S. EELTINK, T. R. STRATTON, R. BRENNEN, K. ROBOTTI, H. YIN, K. KILLEEN, F. SVEC, and J. M. J. FRÉCHET " Monolithic porous polymer stationary phases in polyimide chips for the fast high-performance liquid chromatography separation of proteins and peptides " in: Journal of Chromatography A 1200 (2008), pp. 55 – 61 DOI: 10.1016/j.chroma.2008.03.025 (see p. 30)
  68. K. S. MRIZIQ, J. A. ABIA, Y. LEE, and G. GUIOCHON " Structural radial heterogeneity of a silica- based wide-bore monolithic column " in: Journal of Chromatography A 1193.1-2 (2008), pp. 97 – 103 DOI: 10.1016/j.chroma.2008.04.004 (see p. 71)
  69. K. M. USHER, C. R. SIMMONS, and J. G. DORSEY " Modeling chromatographic dispersion: A comparison of popular equations " in: Journal of Chromatography A 1200 (2008), pp. 122 – 128 DOI: 10.1016/j.chroma.2008.05.073 (see p. 55)
  70. R. ROUX, M. ABI JAOUDÉ, and C DEMESMAY " Improvement of Chromatographic performances of in-situ synthesized hybrid C8 silica monoliths by reduction of structural radial heterogeneities " in: Journal of Chromatography A 1216.18 (2009), pp. 3857 – 63 DOI: 10.1016/j.chroma.2009. 02.070 (see p. 72)
  71. J. A. ABIA, K. S. MRIZIQ, and G. A GUIOCHON " Radial heterogeneity of some analytical columns used in high-performance liquid chromatography " in: Journal of Chromatography A 1216.15 (2009), pp. 3185 – 91 DOI: 10.1016/j.chroma.2009.02.034 (see p. 71)
  72. J. WILL THOMPSON, R. A. LIEBERMAN, and J. W JORGENSON " Hydrodynamic chromatography for the size classification of micron and sub-micron sized packing materials " in: Journal of Chro- matography A 1216.45 (2009), pp. 7732 – 8 DOI: 10.1016/j.chroma.2009.08.088 (see pp. 8, 76)
  73. T. HARA, S. MAKINO, Y. WATANABE, T. IKEGAMI, K. CABRERA, B. SMARSLY, and N. TANAKA " The performance of hybrid monolithic silica capillary columns prepared by changing feed ratios of tetramethoxysilane and methyltrimethoxysilane " in: Journal of Chromatography A 1217.1 (2010), pp. 89 – 98 DOI: 10.1016/j.chroma.2009.11.019 (see p. 72)
  74. F. GRITTI, I. LEONARDIS, D. SHOCK, P. STEVENSON, A. SHALLIKER, and G. GUIOCHON " Perfor- mance of columns packed with the new shell particles, Kinetex-C18 " in: Journal of Chromatog- raphy A 1217.10 (2010), pp. 1589 – 603 DOI: 10.1016/j.chroma.2009.12.079 (see pp. 16, 65, 111, 115)
  75. E. OLÁH, S. FEKETE, J. FEKETE, and K. GANZLER " Comparative study of new shell-type, sub-2 micron fully porous and monolith stationary phases, focusing on mass-transfer resistance " in: Journal of Chromatography A 1217.23 (2010), pp. 3642 – 53 DOI: 10.1016/j.chroma.2010.03. 052 (see p. 9)
  76. D. HLUSHKOU, S. BRUNS, and U. TALLAREK " High-performance computing of flow and transport in physically reconstructed silica monoliths " in: Journal of Chromatography A 1217.23 (2010), pp. 3674 – 3682 DOI: 10.1016/j.chroma.2010.04.004 (see pp. 44, 75, 79, 81, 83, 84, 121)
  77. F. GRITTI, I. LEONARDIS, J. ABIA, and G. GUIOCHON " Physical properties and structure of fine core-shell particles used as packing materials for chromatography Relationships between parti- cle characteristics and column performance " in: Journal of Chromatography A 1217.24 (2010), pp. 3819 – 43 DOI: 10.1016/j.chroma.2010.04.026 (see pp. 8, 9, 20, 43, 51)
  78. S. KHIREVICH, A. DANEYKO, A. HÖLTZEL, A. SEIDEL-MORGENSTERN, and U. TALLAREK " Statistical analysis of packed beds, the origin of short-range disorder, and its impact on eddy dispersion " in: Journal of Chromatography A 1217 (2010), pp. 4713 – 4722 DOI: 10.1016/j.chroma.2010.05. 019 (see pp. 9, 18, 20, 21, 31, 32, 34, 43, 45, 50 – 52, 55, 77, 81, 93, 113, 115, 124, 133, 147)
  79. F. GRITTI and G. GUIOCHON " Mass transfer resistance in narrow-bore columns packed with 1.7 µm particles in very high pressure liquid chromatography " in: Journal of Chromatography A 1217.31 (2010), pp. 5069 – 5083 DOI: 10.1016/j.chroma.2010.05.059 (see pp. 9, 112, 113, 138, 140, 149)
  80. F. GRITTI and G. GUIOCHON " Relationship between trans-column eddy diffusion and retention in liquid chromatography: theory and experimental evidence " in: Journal of Chromatography A 1217.41 (2010), pp. 6350 – 65 DOI: 10.1016/j.chroma.2010.07.029 (see pp. 52, 70, 92)
  81. A. FELINGER " Diffusion time in core-shell packing materials " in: Journal of Chromatography A 1218.15 (2011), pp. 1939 – 41 DOI: 10.1016/j.chroma.2010.10.025 (see p. 76)
  82. J. O. OMAMOGHO, J. P. HANRAHAN, J. TOBIN, and J. D GLENNON " Structural variation of solid core and thickness of porous shell of 1.7 µm core-shell silica particles on chromatographic perfor- mance: narrow bore columns " in: Journal of Chromatography A 1218.15 (2011), pp. 1942 – 53 DOI: 10.1016/j.chroma.2010.11.067 (see pp. 8, 76)
  83. F. GRITTI and G. GUIOCHON " Kinetic investigation of the relationship between the efficiency of columns and their diameter " in: Journal of Chromatography A 1218.12 (2011), pp. 1592 – 602 DOI: 10.1016/j.chroma.2010.12.023 (see p. 71)
  84. S. KHIREVICH, A. HÖLTZEL, A. DANEYKO, A. SEIDEL-MORGENSTERN, and U. TALLAREK " Structure- transport correlation for the diffusive tortuosity of bulk, monodisperse, random sphere packings " in: Journal of Chromatography A 1218.37 (2011), pp. 6489 – 97 DOI: 10.1016/j.chroma.2011. 07.066 (see pp. 32, 34, 43, 50, 55, 60, 77, 81, 89, 91)
  85. G. GUIOCHON and F. GRITTI " Shell particles, trials, tribulations and triumphs " in: Journal of Chromatography A 1218.15 (2011), pp. 1915 – 38 DOI: 10.1016/j.chroma.2011.01.080 (see pp. 8, 17, 51, 75, 76, 111, 113, 138, 149)
  86. S. BRUNS and U. TALLAREK " Physical reconstruction of packed beds and their morphological analysis: core-shell packings as an example " in: Journal of Chromatography A 1218.14 (2011), pp. 1849 – 60 DOI: 10.1016/j.chroma.2011.02.013 (see pp. 22, 29, 31, 43, 56, 71)
  87. H. KOKU, R. S. MAIER, K. J. CZYMMEK, M. R. SCHURE, and A. M. LENHOFF " Modeling of flow in a polymeric chromatographic monolith " in: Journal of Chromatography A 1218.22 (2011), pp. 3466 – 75 DOI: 10.1016/j.chroma.2011.03.064 (see pp. 81, 93, 95, 114)
  88. F. GRITTI and G. GUIOCHON " Mass transfer kinetics, band broadening and column efficiency " in: Journal of Chromatography A 1221 (2012), pp. 2 – 40 DOI: 10.1016/j.chroma.2011.04.058 (see pp. 43, 50, 51, 92, 112, 115)
  89. S. BRUNS, T. HARA, B. M. SMARSLY, and U. TALLAREK " Morphological analysis of physically reconstructed capillary hybrid silica monoliths and correlation with separation efficiency " in: Journal of Chromatography A 1218.31 (2011), pp. 5187 – 94 DOI: 10.1016/j.chroma.2011.05. 090 (see pp. 43, 72)
  90. F. GRITTI and G. GUIOCHON " Measurement of the eddy diffusion term in chromatographic columns. I. Application to the first generation of 4.6mm I.D. monolithic columns " in: Journal of Chromatography A 1218.31 (2011), pp. 5216 – 27 DOI: 10.1016/j.chroma.2011.05.101 (see p. 79)
  91. F. GRITTI, J. OMAMOGHO, and G. GUIOCHON " Kinetic investigation of narrow-bore columns packed with prototype sub-2 µm superficially porous particles with various shell thickness " in: Journal of Chromatography A 1218.40 (2011), pp. 7078 – 93 DOI: 10.1016/j.chroma.2011.07. 037 (see p. 76)
  92. A. DANEYKO, S. KHIREVICH, A. HÖLTZEL, A. SEIDEL-MORGENSTERN, and U. TALLAREK " From random sphere packings to regular pillar arrays: effect of the macroscopic confinement on hy- drodynamic dispersion " in: Journal of Chromatography A 1218.45 (2011), pp. 8231 – 48 DOI: 10.1016/j.chroma.2011.09.039 (see pp. 72, 80, 81, 86, 97, 103, 108, 109, 113, 116, 121)
  93. K. HORMANN, T. MÜLLNER, S. BRUNS, A. HÖLTZEL, and U. TALLAREK " Morphology and separation efficiency of a new generation of analytical silica monoliths " in: Journal of Chromatography A 1222 (2012), pp. 46 – 58 DOI: 10.1016/j.chroma.2011.12.008 (see p. 72)
  94. F. GRITTI and G. GUIOCHON " Measurement of the eddy dispersion term in chromatographic columns: III. Application to new prototypes of 4.6 mm I.D. monolithic columns " in: Journal of Chromatography A 1225 (2012), pp. 79 – 90 DOI: 10.1016/j.chroma.2011.12.055 (see p. 72)
  95. F. GRITTI and G. GUIOCHON " Measurement of the eddy dispersion term in chromatographic columns. II. Application to new prototypes of 2.3 and 3.2 mm I.D. monolithic silica columns " in: Journal of Chromatography A 1227 (2012), pp. 82 – 95 DOI: 10.1016/j.chroma.2011.12.065 (see p. 72)
  96. J. OP DE BEECK, W. DE MALSCHE, D. S. TEZCAN, P. DE MOOR, and G. DESMET " Impact of the limitations of state-of-the-art micro-fabrication processes on the performance of pillar array columns for liquid chromatography " in: Journal of Chromatography A 1239 (2012), pp. 35 – 48 DOI: 10.1016/j.chroma.2012.03.054 (see pp. 74, 107)
  97. A. DANEYKO, D. HLUSHKOU, S. KHIREVICH, and U. TALLAREK " From random sphere packings to regular pillar arrays: analysis of transverse dispersion " in: Journal of Chromatography A 1257 (2012), pp. 98 – 115 DOI: 10.1016/j.chroma.2012.08.024 (see p. 113)
  98. F. GRITTI, K. HORVATH, and G. GUIOCHON " How changing the particle structure can speed up protein mass transfer kinetics in liquid chromatography " in: Journal of Chromatography A 1263.9 (2012), pp. 84 – 98 DOI: 10.1016/j.chroma.2012.09.030 (see p. 115)
  99. S. BRUNS, D. STOECKEL, B. M. SMARSLY, and U. TALLAREK " Influence of particle properties on the wall region in packed capillaries " in: Journal of Chromatography A 1268 (2012), pp. 53 – 63 DOI: 10.1016/j.chroma.2012.10.027 (see pp. 113, 140)
  100. D. HLUSHKOU, K. HORMANN, A. HÖLTZEL, S. KHIREVICH, A. SEIDEL-MORGENSTERN, and U. TAL- LAREK " Comparison of first and second generation analytical silica monoliths by pore-scale sim- ulations of eddy dispersion in the bulk region " in: Journal of Chromatography A 1303 (2013), pp. 28 – 38 DOI: 10.1016/j.chroma.2013.06.039 (see p. 114)
  101. S. FEKETE and D. GUILLARME " Kinetic evaluation of new generation of column packed with 1.3 µm core-shell particles " in: Journal of Chromatography A 1308 (2013), pp. 104 – 13 DOI: 10.1016/j.chroma.2013.08.008 (see p. 111)
  102. K. HORMANN and U. TALLAREK " Analytical silica monoliths with submicron macropores: current limitations to a direct morphology-column efficiency scaling " in: Journal of Chromatography A 1312 (2013), pp. 26 – 36 DOI: 10.1016/j.chroma.2013.08.087 (see p. 150)
  103. F. GRITTI and G. GUIOCHON " Rapid development of core-shell column technology: accurate measurements of the intrinsic column efficiency of narrow-bore columns packed with 4.6 down to 1.3 µm superficially porous particles " in: Journal of Chromatography A 1333 (2014), pp. 60 – 9 DOI: 10.1016/j.chroma.2014.01.061 (see p. 111)
  104. R. HAYES, A. AHMED, T. EDGE, and H. ZHANG " Core-shell particles: preparation, fundamentals and applications in high performance liquid chromatography " in: Journal of Chromatography A 1357 (2014), pp. 36 – 52 DOI: 10.1016/j.chroma.2014.05.010 (see p. 111)
  105. N. LAMBERT, I. KISS, and A. FELINGER " Mass-transfer properties of insulin on core-shell and fully porous stationary phases " in: Journal of Chromatography A 1366 (2014), pp. 84 – 91 DOI: 10.1016/j.chroma.2014.09.025 (see p. 111)
  106. L. E. BLUE and J. W. JORGENSON " 1.1 µm Superficially porous particles for liquid chromatogra- phy: Part II: Column packing and chromatographic performance " in: Journal of Chromatography A 1380 (2015), pp. 71 – 80 DOI: 10.1016/j.chroma.2014.12.055 (see p. 111)
  107. M. N. GUDDATI and B. YUE " Modified integration rules for reducing dispersion error in finite element methods " in: Computer Methods in Applied Mechanics and Engineering 193.3-5 (2004), pp. 275 – 287 DOI: 10.1016/j.cma.2003.09.010 (see p. 5)
  108. J. LIU, K.-W. RO, R. NAYAK, and D. R. KNAPP " Monolithic column plastic microfluidic device for peptide analysis using electrospray from a channel opening on the edge of the device " in: International Journal of Mass Spectrometry 259 (2007), pp. 65 – 72 DOI: 10.1016/j.ijms.2006. 08.017 (see p. 30)
  109. H. DONG and J. D. BRENNAN " Tailoring the properties of sub-3 µm silica core-shell particles prepared by a multilayer-by-multilayer process " in: Journal of Colloid and Interface Science 437 (2015), pp. 50 – 7 DOI: 10.1016/j.jcis.2014.09.033 (see p. 111)
  110. P. SALAMON, D. FERNÀNDEZ-GARCIA, and J. J. GÓMEZ-HERNÁNDEZ " A review and numerical assessment of the random walk particle tracking method " in: Journal of Contaminant Hydrology 87 (2006), pp. 277 – 305 DOI: 10.1016/j.jconhyd.2006.05.005 (see pp. 5, 85)
  111. R. S. MAIER and R. S. BERNARD " Lattice-Boltzmann accuracy in pore-scale flow simulation " in: Journal of Computational Physics 229 (2010), pp. 233 – 255 DOI: 10.1016/j.jcp.2009.09.013 (see p. 32)
  112. S. FEKETE, K. GANZLER, and J. FEKETE " Facts and myths about columns packed with sub-3 µm and sub-2 µm particles " in: Journal of Pharmaceutical and Biomedical Analysis 51.1 (2010), pp. 56 – 64 DOI: 10.1016/j.jpba.2009.08.003 (see p. 51)
  113. F. GOLSE and L. SAINT-RAYMOND " The incompressible Navier – Stokes limit of the Boltzmann equation for hard cutoff potentials " in: Journal de Mathématiques Pures et Appliquées 91.5 (2009), pp. 508 – 552 DOI: 10.1016/j.matpur.2009.01.013 (see p. 4)
  114. T. MÜLLNER, A. ZANKEL, F. SVEC, and U. TALLAREK " Finite-size effects in the 3D reconstruction and morphological analysis of porous polymers " in: Materials Today 17.8 (2014), pp. 404 – 411 DOI: 10.1016/j.mattod.2014.07.003 (see p. 150)
  115. G. E. MUELLER " Numerically packing spheres in cylinders " in: Powder Technology 159 (2005), pp. 105 – 110 DOI: 10.1016/j.powtec.2005.06.002 (see p. 71)
  116. J. THEUERKAUF, P. WITT, and D. SCHWESIG " Analysis of particle porosity distribution in fixed beds using the discrete element method " in: Powder Technology 165 (2006), pp. 92 – 99 DOI: 10.1016/j.powtec.2006.03.022 (see pp. 28, 31)
  117. G. E. MUELLER " Radial porosity in packed beds of spheres " in: Powder Technology 203.3 (2010), pp. 626 – 633 DOI: 10.1016/j.powtec.2010.07.007 (see pp. 28, 31)
  118. A. RÍOS, A. ESCARPA, M. C. GONZÁLEZ, and A. G. CREVILLÉN " Challenges of analytical microsys- tems " in: TrAC Trends in Analytical Chemistry 25.5 (2006), pp. 467 – 479 DOI: 10.1016/j.trac. 2005.11.012 (see p. 29)
  119. M. D. MANTLE, A. J. SEDERMAN, and L. F. GLADDEN " Single-and two-phase flow in fixed-bed reactors: MRI flow visualisation and lattice-Boltzmann simulations " in: Chemical Engineering Science 56 (2001), pp. 523 – 529 DOI: 10.1016/S0009-2509(00)00256-6 (see pp. 32, 81)
  120. E. MAURET and M. RENAUD " Transport phenomena in multi-particle systems — I. Limits of appli- cability of capillary model in high voidage beds-application to fixed beds of fibers and fluidized beds of spheres " in: Chemical Engineering Science 52 (1997), pp. 1807 – 1817 DOI: 10.1016/S0009- 2509(96)00499-X (see p. 16)
  121. C. H. EON " Comparison of broadening patterns in regular and radially compressed large-diameter columns " in: Journal of Chromatography A 149 (1978), pp. 29 – 42 DOI: 10.1016/S0021-9673(00) 80977-2 (see p. 92)
  122. J. H. KNOX, G. R. LAIRD, and P. A. RAVEN " Interaction of radial and axial dispersion in liquid chromatography in relation to the " infinite diameter effect " " in: Journal of Chromatography A 122 (1976), pp. 129 – 145 DOI: 10.1016/S0021-9673(00)82240-2 (see p. 92)
  123. A. L. BERDICHEVSKY and U. D. NEUE " Nature of the eddy dispersion in packed beds " in: Journal of Chromatography A 535 (1990), pp. 189 – 198 DOI: 10.1016/S0021-9673(01)88944-5 (see p. 131)
  124. P. MAGNICO and M. MARTIN " Dispersion in the interstitial space of packed columns " in: Journal of Chromatography A 517 (1990), pp. 31 – 49 DOI: 10.1016/S0021-9673(01)95708-5 (see pp. 49, 133)
  125. R. A. SHALLIKER, V. WONG, B. S. BROYLES, and G. GUIOCHON " Visualization of bed compression in an axial compression liquid chromatography column " in: Journal of Chromatography A 977 (2002), pp. 213 – 223 DOI: 10.1016/S0021-9673(02)01273-6 (see pp. 29, 31, 71)
  126. G. GUIOCHON, E. DRUMM, and D. CHERRAK " Evidence of a wall friction effect in the consolidation of beds of packing materials in chromatographic columns " in: Journal of Chromatography A 835 (1999), pp. 41 – 58 DOI: 10.1016/S0021-9673(98)01068-1 (see pp. 29, 31, 71)
  127. J. GÖTZ, K. ZICK, C. HEINEN, and T. KÖNIG " Visualisation of flow processes in packed beds with NMR imaging: determination of the local porosity, velocity vector and local dispersion coefficients " in: Chemical Engineering and Processing: Process Intensification 41.7 (2002), pp. 611 – 629 DOI: 10.1016/S0255-2701(01)00185-4 (see p. 88)
  128. J. H. CUSHMAN, L. S. BENNETHUM, and B. X. HU " A primer on upscaling tools for porous media " in: Advances in Water Resources 25.8-12 (2002), pp. 1043 – 1067 DOI: 10.1016/S0309-1708(02) 00047-7 (see p. 3)
  129. M. J. BLUNT " Flow in porous media — pore-network models and multiphase flow " in: Current Opinion in Colloid & Interface Science 6.3 (2001), pp. 197 – 207 DOI: 10.1016/S1359-0294(01) 00084-X (see p. 2)
  130. A. A. ZICK and G. M. HOMSY " Stokes flow through periodic arrays of spheres " in: Journal of Fluid Mechanics 115 (1982), pp. 13 – 26 DOI: 10.1017/S0022112082000627 (see p. 121)
  131. D. L. KOCH and J. F. BRADY " Dispersion in fixed beds " in: Journal of Fluid Mechanics 154 (1985), pp. 399 – 427 DOI: 10.1017/S0022112085001598 (see pp. 16, 91)
  132. J. R. MAZZEO, U. D. NEUE, M. KELE, and R. S. PLUMB " Advancing LC Performance with Smaller Particles and Higher Pressure " in: Analytical Chemistry 77.23 (2005), 460 A – 467 A DOI: 10.1021/ ac053516f (see pp. 8, 51, 75)
  133. R. T. KENNEDY and J. W. JORGENSON " Preparation and evaluation of packed capillary liquid chromatography columns with inner diameters from 20 to 50 µm " in: Analytical Chemistry 61 (1989), pp. 1128 – 1135 DOI: 10.1021/ac00185a016 (see pp. 29, 31, 48, 58)
  134. M. R. SCHURE, R. S. MAIER, D. M. KROLL, and H. T. DAVIS " Simulation of packed-bed chromatog- raphy utilizing high-resolution flow fields: Comparison with models " in: Analytical Chemistry 74 (2002), pp. 6006 – 6016 DOI: 10.1021/ac0204101 (see pp. 11, 32, 40, 45, 81, 84, 114)
  135. P. GZIL, N. VERVOORT, G. V. BARON, and G. DESMET " Advantages of perfectly ordered 2-D porous pillar arrays over packed bed columns for LC separations: a theoretical analysis " in: Analytical chemistry 75.22 (2003), pp. 6244 – 50 DOI: 10.1021/ac034345m (see pp. 57, 58, 63)
  136. D. S. REICHMUTH, T. J. SHEPODD, and B. J. KIRBY " Microchip HPLC of peptides and proteins " in: Analytical Chemistry 77 (2005), pp. 2997 – 3000 DOI: 10.1021/ac048358r (see p. 30)
  137. H. YIN, K. KILLEEN, R. BRENNEN, D. SOBEK, M. WERLICH, and T. VAN DE GOOR " Microfluidic chip for peptide analysis with an integrated HPLC column, sample enrichment column, and nano- electrospray tip " in: Analytical Chemistry 77 (2005), pp. 527 – 533 DOI: 10.1021/ac049068d (see p. 30)
  138. K. D. PATEL, A. D. JERKOVICH, J. C. LINK, and J. W. JORGENSON " In-depth characterization of slurry packed capillary columns with 1.0-µm nonporous particles using reversed-phase isocratic ultrahigh-pressure liquid chromatography " in: Analytical Chemistry 76 (2004), pp. 5777 – 5786 DOI: 10.1021/ac049756x (see pp. 8, 29, 31, 48, 58, 75)
  139. N. VERVOORT, J. BILLEN, P. GZIL, G. V. BARON, and G. DESMET " Importance and reduction of the sidewall-induced band-broadening effect in pressure-driven microfabricated columns " in: Analytical chemistry 76.15 (2004), pp. 4501 – 7 DOI: 10.1021/ac049930h (see p. 57)
  140. A. BHATTACHARYYA and C. M. KLAPPERICH " Thermoplastic microfluidic device for on-chip purifi- cation of nucleic acids for disposable diagnostics " in: Analytical Chemistry 78 (2006), pp. 788 – 792 DOI: 10.1021/ac051449j (see p. 30)
  141. F. GRITTI and G. GUIOCHON " General HETP equation for the study of mass-transfer mechanisms in RPLC " in: Analytical Chemistry 78.15 (2006), pp. 5329 – 5347 DOI: 10.1021/ac060203r (see p. 143)
  142. I. M. LAZAR, P. TRISIRIPISAL, and H. A. SARVAIYA " Microfluidic liquid chromatography system for proteomic applications and biomarker screening " in: Analytical Chemistry 78 (2006), pp. 5513 – 5524 DOI: 10.1021/ac060434y (see p. 30)
  143. M. DE PRA, W. TH. KOK, J. G. E. GARDENIERS, G. DESMET, S. EELTINK, J. W. VAN NIEUWKASTEELE, and P. J. SCHOENMAKERS " Experimental study on band dispersion in channels structured with micropillars " in: Analytical Chemistry 78 (2006), pp. 6519 – 6525 DOI: 10.1021/ac060915h (see p. 58)
  144. K. KACZMARSKI and G. GUIOCHON " Modeling of the mass-transfer kinetics in chromatographic columns packed with shell and pellicular particles " in: Analytical chemistry 79.12 (2007), pp. 4648 – 56 DOI: 10.1021/ac070209w (see pp. 111, 114, 143 – 145, 149)
  145. W. DE MALSCHE, H. EGHBALI, D. CLICQ, J. VANGELOOVEN, H. GARDENIERS, and G. DESMET " Pressure-driven reverse-phase liquid chromatography separations in ordered nonporous pillar array columns " in: Analytical Chemistry 79 (2007), pp. 5915 – 5926 DOI: 10.1021/ac070352p (see pp. 30, 35, 45, 57, 58)
  146. A. CAVAZZINI, F. GRITTI, K. KACZMARSKI, N. MARCHETTI, and G. GUIOCHON " Mass-transfer ki- netics in a shell packing material for chromatography " in: Analytical chemistry 79.15 (2007), pp. 5972 – 9 DOI: 10.1021/ac070571a (see pp. 8, 76)
  147. M. BARRANDE, R. BOUCHET, and R. DENOYEL " Tortuosity of porous particles " in: Analytical Chemistry 79 (2007), pp. 9115 – 9121 DOI: 10.1021/ac071377r (see p. 16)
  148. S. KHIREVICH, A. HÖLTZEL, D. HLUSHKOU, and U. TALLAREK " Impact of conduit geometry and bed porosity on flow and dispersion in noncylindrical sphere packings " in: Analytical Chemistry 79 (2007), pp. 9340 – 9349 DOI: 10.1021/ac071428k (see pp. 11, 30, 32, 33, 46, 54, 81)
  149. S. BRUNS, T. MÜLLNER, M. KOLLMANN, J. SCHACHTNER, A. HÖLTZEL, and U. TALLAREK " Confocal laser scanning microscopy method for quantitative characterization of silica monolith morphology " in: Analytical chemistry 82.15 (2010), pp. 6569 – 75 DOI: 10.1021/ac100909t (see pp. 43, 75)
  150. D. HLUSHKOU, S. BRUNS, A. HÖLTZEL, and U. TALLAREK " From pore scale to column scale dis- persion in capillary silica monoliths " in: Analytical chemistry 82.17 (2010), pp. 7150 – 9 DOI: 10.1021/ac101393b (see pp. 44, 72, 74, 79, 81, 84, 86, 93, 95, 107, 109, 114)
  151. J. O. OMAMOGHO and J. D GLENNON " Comparison between the efficiencies of sub-2 µm C18 particles packed in narrow bore columns " in: Analytical chemistry 83.5 (2011), pp. 1547 – 56 DOI: 10.1021/ac102139a (see p. 8)
  152. L. C. TAYLOR, N. V. LAVRIK, and M. J. SEPANIAK " High-aspect-ratio, silicon oxide-enclosed pil- lar structures in microfluidic liquid chromatography " in: Analytical chemistry 82.22 (2010), pp. 9549 – 56 DOI: 10.1021/ac1023342 (see pp. 30, 35, 57, 72)
  153. A. DANEYKO, A. HÖLTZEL, S. KHIREVICH, and U. TALLAREK " Influence of the particle size distri- bution on hydraulic permeability and eddy dispersion in bulk packings " in: Analytical chemistry 83.10 (2011), pp. 3903 – 10 DOI: 10.1021/ac200424p (see pp. 32, 43, 45, 50 – 52, 75, 76, 78, 81, 84, 93, 113, 116, 124, 133, 147)
  154. S. BRUNS, J. P. GRINIAS, L. E. BLUE, J. W. JORGENSON, and U. TALLAREK " Morphology and sepa- ration efficiency of low-aspect-ratio capillary ultrahigh pressure liquid chromatography columns " in: Analytical chemistry 84.10 (2012), pp. 4496 – 503 DOI: 10.1021/ac300326k (see pp. 71, 150)
  155. F. GRITTI and G. GUIOCHON " Perspectives on the evolution of the column efficiency in liquid chromatography " in: Analytical Chemistry 85.6 (2013), pp. 3017 – 35 DOI: 10.1021/ac3033307 (see p. 111)
  156. D. HLUSHKOU, F. GRITTI, G. GUIOCHON, A. SEIDEL-MORGENSTERN, and U. TALLAREK " Effect of adsorption on solute dispersion: A microscopic stochastic approach " in: Analytical Chemistry 86.9 (2014), pp. 4463 – 4470 DOI: 10.1021/ac500309p (see p. 114)
  157. J. C. GIDDINGS and R. A. ROBISON " Failure of the eddy diffusion concept of gas chromatography " in: Analytical Chemistry 34.8 (1962), pp. 885 – 890 DOI: 10.1021/ac60188a005 (see p. 130)
  158. J. H. KNOX and J. F. PARCHER " Effect of the column to particle diameter ratio on the dispersion of unsorbed solutes in chromatography " in: Analytical Chemistry 41 (1969), pp. 1599 – 1606 DOI: 10.1021/ac60281a009 (see pp. 29, 31)
  159. S. EHLERT, K. KRAICZEK, J.-A. MORA, M. DITTMANN, G. P. ROZING, and U. TALLAREK " Separation efficiency of particle-packed HPLC microchips " in: Analytical Chemistry 80 (2008), pp. 5945 – 5950 DOI: 10.1021/ac800576v (see pp. 30, 71)
  160. J. F. BOROWSKY, B. C. GIORDANO, Q. LU, A. TERRAY, and G. E. COLLINS " Electroosmotic flow- based pump for liquid chromatography on a planar microchip " in: Analytical Chemistry 80 (2008), pp. 8287 – 8292 DOI: 10.1021/ac801497r (see p. 30)
  161. H. EGHBALI, V. VERDOOLD, L. VANKEERBERGHEN, H. GARDENIERS, and G. DESMET " Experimental investigation of the band broadening arising from short-range interchannel heterogeneities in chromatographic beds under the condition of identical external porosity " in: Analytical Chemistry 81 (2009), pp. 705 – 715 DOI: 10.1021/ac802124p (see pp. 44, 45, 123)
  162. J. LIU, C.-F. CHEN, C.-W. TSAO, C.-C. CHANG, C.-C. CHU, and D. L. DEVOE " Polymer microchips integrating solid-phase extraction and high-performance liquid chromatography using reversed- phase polymethacrylate monoliths " in: Analytical Chemistry 81 (2009), pp. 2545 – 2554 DOI: 10.1021/ac802359e (see p. 30)
  163. M. T. KOESDJOJO, C. R. KOCH, and V. T. REMCHO " Technique for microfabrication of polymeric- based microchips from an SU-8 master with temperature-assisted vaporized organic solvent bond- ing " in: Analytical Chemistry 81 (2009), pp. 1652 – 1659 DOI: 10.1021/ac802450u (see p. 30)
  164. S. KHIREVICH, A. HÖLTZEL, S. EHLERT, A. SEIDEL-MORGENSTERN, and U. TALLAREK " Large-scale simulation of flow and transport in reconstructed HPLC-microchip packings " in: Analytical Chem- istry 81.12 (2009), pp. 4937 – 4945 DOI: 10.1021/ac900631d (see pp. 11, 30, 32, 43, 54, 81, 84)
  165. S. KHIREVICH, A. HÖLTZEL, A. SEIDEL-MORGENSTERN, and U. TALLAREK " Time and length scales of eddy dispersion in chromatographic beds " in: Analytical Chemistry 81.16 (2009), pp. 7057 – 7066 DOI: 10.1021/ac901187d (see pp. 9, 12, 18, 28, 31 – 33, 45, 46, 49 – 52, 70, 74, 81, 86, 89, 113, 147)
  166. S. JUNG, A. HÖLTZEL, S. EHLERT, J.-A. MORA, K. KRAICZEK, M. DITTMANN, G. P. ROZING, and U. TALLAREK " Impact of conduit geometry on the performance of typical particulate microchip packings " in: Analytical Chemistry 81 (2009), pp. 10193 – 10200 DOI: 10.1021/ac902069x (see pp. 30, 50)
  167. S. HSIEH and J. W. JORGENSON " Preparation and evaluation of slurry-packed liquid chromatog- raphy microcolumns with inner diameters from 12 to 33 µm " in: Analytical Chemistry 68 (1996), pp. 1212 – 1217 DOI: 10.1021/ac950682m (see pp. 29, 31, 48, 58)
  168. J. E. MACNAIR, K. C. LEWIS, and J. W. JORGENSON " Ultrahigh-Pressure Reversed-Phase Liquid Chromatography in Packed Capillary Columns " in: Analytical Chemistry 69.6 (1997), pp. 983 – 989 DOI: 10.1021/ac961094r (see p. 51)
  169. U. TALLAREK, E. RAPP, T. SCHEENEN, E. BAYER, and H. VAN AS " Electroosmotic and Pressure- Driven Flow in Open and Packed Capillaries: Velocity Distributions and Fluid Dispersion " in: Analytical Chemistry 72.10 (2000), pp. 2292 – 2301 DOI: 10.1021/ac991303i (see p. 99)
  170. J. C. GIDDINGS and P. D. SCHETTLER " General nonequilibrium theory of chromatography with complex flow transport " in: The Journal of Physical Chemistry 78.8 (1969), pp. 2577 – 2582 DOI: 10.1021/j100842a020 (see p. 133)
  171. P. D. SCHETTLER and J. C. GIDDINGS " Application of the Nonequilibrium Theory of Chromatog- raphy to a Variable Flow Correlation Model of Complex Flow and Coupling " in: The Journal of Physical Chemistry 357.1 (1966), pp. 2582 – 2589 DOI: 10.1021/j100842a021 (see p. 133)
  172. L. LAPIDUS and N. R. AMUNDSON " Mathematics of adsorption in beds VI. The effect of longitudinal diffusion in ion exchange and chromatographic columns " in: The Journal of Physical Chemistry (1952), pp. 984 – 988 DOI: 10.1021/j150500a014 (see p. 111)
  173. U. TALLAREK, E. BAYER, and G. GUIOCHON " Study of dispersion in packed chromatographic columns by pulsed field gradient nuclear magnetic resonance " in: Journal of the American Chemical Society 120 (1998), pp. 1494 – 1505 DOI: 10.1021/ja9726623 (see p. 55)
  174. N. W. HALPERN-MANNERS, J. L. PAULSEN, V. S. BAJAJ, and A. PINES " Remotely detected MRI velocimetry in microporous bead packs " in: The Journal of Physical Chemistry A 115.16 (2011), pp. 4023 – 30 DOI: 10.1021/jp109728j (see p. 88)
  175. D. HLUSHKOU, F. GRITTI, A. DANEYKO, G. GUIOCHON, and U. TALLAREK " How microscopic char- acteristics of the adsorption kinetics impact macroscale transport in chromatographic beds " in: The Journal of Physical Chemistry C 117.44 (2013), pp. 22974 – 22985 DOI: 10.1021/jp408362u (see p. 114)
  176. D. HLUSHKOU, A. SEIDEL-MORGENSTERN, and U. TALLAREK " Numerical analysis of electroosmotic flow in dense regular and random arrays of impermeable, nonconducting spheres " in: Langmuir 21 (2005), pp. 6097 – 6112 DOI: 10.1021/la050239z (see pp. 32, 43, 81)
  177. W. GILLE, D. ENKE, and F. JANOWSKI " Stereological Macropore Analysis of a Controlled Pore Glass by use of Small-Angle Scattering " in: Journal of Porous Materials 8.3 (2001), pp. 179 – 191 DOI: 10.1023/A:1012223404017 (see p. 96)
  178. H. HOTEIT, R. MOSE, A. YOUNES, F. LEHMANN, and PH ACKERER " Three-dimensional modeling of mass transfer in porous media using the mixed hybrid finite elements and the random-walk methods " in: Mathematical Geology 34.4 (2002), pp. 435 – 456 DOI: 10.1023/A:1015083111971 (see pp. 117, 119)
  179. X. HE and L.-S. LUO " Lattice Boltzmann Model for the Incompressible Navier – Stokes Equation " in: Journal of Statistical Physics 88.3/4 (1997), pp. 927 – 944 DOI: 10.1023/B:JOSS.0000015179. 12689.e4 (see pp. 40, 83)
  180. A. B. KARA, P. A. ROCHFORD, and H. E. HURLBURT " An optimal definition for ocean mixed layer depth " in: Journal of Geophysical Research 105.C7 (2000), p. 16803 DOI: 10.1029/2000JC900072 (see p. 1)
  181. G. LIU, C. ZHENG, and S. M. GORELICK " Limits of applicability of the advection-dispersion model in aquifers containing connected high-conductivity channels " in: Water Resources Research 40.8 (2004), W08308 DOI: 10.1029/2003WR002735 (see p. 5)
  182. P. SALAMON, D. FERNÀNDEZ-GARCIA, and J. J. GÓMEZ-HERNÁNDEZ " Modeling tracer transport at the MADE site: The importance of heterogeneity " in: Water Resources Research 43 (2007), W08404 DOI: 10.1029/2006WR005522 (see p. 116)
  183. R. S. MAIER, M. R. SCHURE, J. P. GAGE, and J. D. SEYMOUR " Sensitivity of pore-scale dispersion to the construction of random bead packs " in: Water Resources Research 44 (2008), W06S03 DOI: 10.1029/2006WR005577 (see pp. 9, 32, 81, 93)
  184. J. M. RAMIREZ, E. A. THOMANN, E. C. WAYMIRE, J. CHASTANET, and B. D. WOOD " A note on the theoretical foundations of particle tracking methods in heterogeneous porous media " in: Water Resources Research 44.1 (2008), pp. 1 – 5 DOI: 10.1029/2007WR005914 (see p. 119)
  185. L. W. GELHAR and C. L. AXNESS " Three-dimensional stochastic analysis of macrodispersion in aquifers " in: Water Resources Research 19.1 (1983), pp. 161 – 180 DOI: 10.1029/WR019i001p00161 (see p. 3)
  186. J. C. GIDDINGS " 'Eddy' diffusion in chromatography " in: Nature 184 (1959), pp. 357 – 358 DOI: 10.1038/184357a0 (see pp. 50, 130, 131)
  187. A. KLINKENBERG and F. SJENITZER " 'Eddy' diffusion in chromatography " in: Nature 187.4742 (1960), p. 1023 DOI: 10.1038/1871023a0 (see p. 130)
  188. D. JANASEK, J. FRANZKE, and A. MANZ " Scaling and the design of miniaturized chemical-analysis systems " in: Nature 442.7101 (2006), pp. 374 – 80 DOI: 10.1038/nature05059 (see p. 29)
  189. C. SONG, P. WANG, and H. A. MAKSE " A phase diagram for jammed matter " in: Nature 453.7195 (2008), pp. 629 – 632 DOI: 10.1038/nature06981 (see p. 9)
  190. D. L. THEOBALD " A formal test of the theory of universal common ancestry " in: Nature 465.7295 (2010), pp. 219 – 22 DOI: 10.1038/nature09014 (see p. 1)
  191. P. S. DITTRICH and A. MANZ " Lab-on-a-chip: microfluidics in drug discovery " in: Nature Reviews Drug Discovery 5 (2006), pp. 210 – 218 DOI: 10.1038/nrd1985 (see p. 29)
  192. D. S. PETERSON " Solid supports for micro analytical systems " in: Lab on a Chip 5 (2005), pp. 132 – 139 DOI: 10.1039/b405311g (see p. 30)
  193. Y. YANG, C. LI, J. KAMEOKA, K. H. LEE, and H. G. CRAIGHEAD " A polymeric microchip with integrated tips and in situ polymerized monolith for electrospray mass spectrometry " in: Lab on a Chip 5 (2005), pp. 869 – 876 DOI: 10.1039/b503025k (see p. 30)
  194. D. A. MAIR, E. GEIGER, A. P. PISANO, J. M. J. FRÉCHET, and F. SVEC " Injection molded microflu- idic chips featuring integrated interconnects " in: Lab on a Chip 6 (2006), pp. 1346 – 1354 DOI: 10.1039/b605911b (see p. 30)
  195. J. EIJKEL " Chip-based HPLC: the quest for the perfect column " in: Lab on a chip 7.7 (2007), pp. 815 – 7 DOI: 10.1039/b707464f (see p. 58)
  196. S. KHIREVICH, A. HÖLTZEL, D. HLUSHKOU, A. SEIDEL-MORGENSTERN, and U. TALLAREK " Structure – transport analysis for particulate packings in trapezoidal microchip separation channels " in: Lab on a Chip 8 (2008), pp. 1801 – 1808 DOI: 10.1039/b810688f (see pp. 30, 32, 46, 54, 81)
  197. D. A. EDWARDS, M. SHAPIRO, and H. BRENNER " Dispersion and reaction in two-dimensional model porous media " in: Physics of Fluids A: Fluid Dynamics 5.4 (1993), p. 837 DOI: 10.1063/1. 858631 (see p. 57)
  198. P. T. CALLAGHAN and S. L. CODD " Flow coherence in a bead pack observed using frequency domain modulated gradient nuclear magnetic resonance " in: Physics of Fluids 13 (2001), pp. 421 – 427 DOI: 10.1063/1.1336810 (see p. 103)
  199. R. S. MAIER, D. M. KROLL, R. S. BERNARD, S. E. HOWINGTON, J. F. PETERS, and H. T. DAVIS " Hydrodynamic dispersion in confined packed beds " in: Physics of Fluids 15 (2003), pp. 3795 – 3815 DOI: 10.1063/1.1624836 (see pp. 28, 31, 32, 46, 47, 52, 70, 81, 89, 113)
  200. H. L. WEISSBERG " Effective diffusion coefficient in porous media " in: Journal of Applied Physics 34 (1963), pp. 2636 – 2639 DOI: 10.1063/1.1729783 (see p. 16)
  201. D. A. EDWARDS, M. SHAPIRO, P. BAR-YOSEPH, and M. SHAPIRA " The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders " in: Physics of Fluids A: Fluid Dynamics 2.1 (1990), pp. 45 – 55 DOI: 10.1063/1.857691 (see p. 40)
  202. J. SALLES, J.-F. THOVERT, R. DELANNAY, L. PREVORS, J.-L. AURIAULT, and P. M. ADLER " Taylor dispersion in porous media. Determination of the dispersion tensor " in: Physics of Fluids A: Fluid Dynamics 5 (1993), pp. 2348 – 2376 DOI: 10.1063/1.858751 (see pp. 3, 57, 99)
  203. M. ZUZOVSKY " Spatially periodic suspensions of convex particles in linear shear flows. III. Dilute arrays of spheres suspended in Newtonian fluids " in: Physics of Fluids 26.7 (1983), p. 1714 DOI: 10.1063/1.864370 (see p. 40)
  204. L. LEBON, L. OGER, J. LEBLOND, J. P. HULIN, N. S. MARTYS, and L. M. SCHWARTZ " Pulsed gradient NMR measurements and numerical simulation of flow velocity distribution in sphere packings " in: Physics of Fluids 8.2 (1996), p. 293 DOI: 10.1063/1.868839 (see p. 88)
  205. Y. E. KUTSOVSKY, L. E. SCRIVEN, H. T. DAVIS, and B. E. HAMMER " NMR imaging of velocity profiles and velocity distributions in bead packs " in: Physics of Fluids 8.4 (1996), p. 863 DOI: 10.1063/1.868867 (see p. 88)
  206. H. P. A. SOUTO and C. MOYNE " Dispersion in two-dimensional periodic porous media. Part II. Dispersion tensor " in: Physics of Fluids 9 (1997), pp. 2253 – 2263 DOI: 10.1063/1.869347 (see pp. 57, 99, 103)
  207. R. S. MAIER, D. M. KROLL, Y. E. KUTSOVSKY, H. T. DAVIS, and R. S. BERNARD " Simulation of flow through bead packs using the lattice Boltzmann method " in: Physics of Fluids 10 (1998), pp. 60 – 74 DOI: 10.1063/1.869550 (see p. 88)
  208. C. WOESE " The universal ancestor " in: Proceedings of the National Academy of Sciences of the United States of America 95.12 (1998), pp. 6854 – 6859 DOI: 10.1073/pnas.95.12.6854 (see p. 1)
  209. D. S. HORNE, J. H. KNOX, and L. MCLAREN " A Comparison of Mobile-Phase Peak Dispersion in Gas and Liquid Chromatography " in: Separation Science 1.5 (1966), pp. 531 – 554 DOI: 10.1080/ 01496396608049464 (see pp. 92, 131)
  210. D. HLUSHKOU, V. APANASOVICH, A. SEIDEL-MORGENSTERN, and U. TALLAREK " Numerical simula- tion of electrokinetic microfluidics in colloidal systems " in: Chemical Engineering Communications 193.7 (2006), pp. 826 – 839 DOI: 10.1080/00986440500267295 (see p. 43)
  211. J. J. DESTEFANO, T. J. LANGLOIS, and J. J. KIRKLAND " Characteristics of superficially-porous silica particles for fast HPLC: some performance comparisons with sub-2 µm particles " in: Journal of Chromatographic Science 46.3 (2008), pp. 254 – 260 DOI: 10.1093/chromsci/46.3.254 (see p. 111)
  212. S. A. SCHUSTER, B. M. WAGNER, B. E. BOYES, and J. J. KIRKLAND " Wider pore superficially porous particles for peptide separations by HPLC " in: Journal of Chromatographic Science 48 (2010), pp. 566 – 571 DOI: 10.1093/chromsci/48.7.566 (see p. 111)
  213. H. BRENNER and P. M. ADLER " Dispersion Resulting from Flow through Spatially Periodic Porous Media II. Surface and Intraparticle Transport " in: Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences 307.1498 (1982), pp. 149 – 200 DOI: 10.1098/ rsta.1982.0108 (see pp. 33, 57, 60, 97)
  214. G. TAYLOR " Dispersion of soluble matter in solvent flowing slowly through a tube " in: Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences 219 (1953), pp. 186 – 203 DOI: 10.1098/rspa.1953.0139 (see pp. 2, 42, 47, 63, 121)
  215. R. ARIS " On the dispersion of a solute in a fluid flowing through a tube " in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 235.1200 (1956), pp. 67 – 77 DOI: 10.1098/rspa.1956.0065 (see pp. 2, 121)
  216. R. ARIS " On the dispersion of a solute by diffusion, convection and exchange between phases " in: Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences 252 (1959), pp. 538 – 550 DOI: 10.1098/rspa.1959.0171 (see pp. 42, 47, 63)
  217. R. S. MAIER, D. M. KROLL, R. S. BERNARD, S. E. HOWINGTON, J. F. PETERS, and H. T. DAVIS " Enhanced dispersion in cylindrical packed beds " in: Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences 360 (2002), pp. 497 – 506 DOI: 10.1098/rsta. 2001.0951 (see pp. 32, 46, 47, 52, 81)
  218. H. BRENNER " Dispersion resulting from flow through spatially periodic porous media " in: Philo- sophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences 297 (1980), pp. 81 – 133 DOI: 10.1098/rsta.1980.0205 (see pp. 3, 33, 57, 60, 97)
  219. D. KANDHAI, U. TALLAREK, D. HLUSHKOU, A. G. HOEKSTRA, P. M. A. SLOOT, and H. VAN AS " Numerical simulation and measurement of liquid hold-up in biporous media containing discrete stagnant zones " in: Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences 360 (2002), pp. 521 – 534 DOI: 10.1098/rsta.2001.0952 (see pp. 13, 34, 42, 84)
  220. S. KHIREVICH, A. HÖLTZEL, and U. TALLAREK " Transient and asymptotic dispersion in confined sphere packings with cylindrical and non-cylindrical conduit geometries " in: Philosophical Trans- actions of the Royal Society A: Mathematical, Physical & Engineering Sciences 369.1945 (2011), pp. 2485 – 93 DOI: 10.1098/rsta.2011.0027 (see pp. 11, 32, 43, 46, 54, 81)
  221. P. L. BHATNAGAR, E. P. GROSS, and M. KROOK " A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems " in: Physical Review 94.3 (1954), pp. 511 – 525 DOI: 10.1103/PhysRev.94.511 (see pp. 4, 39, 82)
  222. U. M. SCHEVEN, S. KHIREVICH, A. DANEYKO, and U. TALLAREK " Longitudinal and transverse dispersion in flow through random packings of spheres: A quantitative comparison of experiments, simulations, and models " in: Physical Review E 89.5 (2014), p. 053023 DOI: 10.1103/PhysRevE. 89.053023 (see pp. 123, 133)
  223. V. MOURZENKO, J.-F. THOVERT, O. VIZIKA, and P. M. ADLER " Geometrical and transport properties of random packings of polydisperse spheres " in: Physical Review E 77 (2008), p. 066306 DOI: 10.1103/PhysRevE.77.066306 (see p. 3)
  224. X. GARCIA, L. T. AKANJI, M. J. BLUNT, S. K. MATTHAI, and J. P. LATHAM " Numerical study of the effects of particle shape and polydispersity on permeability " in: Physical Review E 80 (2009), p. 021304 DOI: 10.1103/PhysRevE.80.021304 (see p. 9)
  225. H. DONG and M. BLUNT " Pore-network extraction from micro-computerized-tomography images " in: Physical Review E 80.3 (2009), p. 036307 DOI: 10.1103/PhysRevE.80.036307 (see p. 2)
  226. U. FRISCH, B. HASSLACHER, and Y. POMEAU " Lattice-gas automata for the Navier – Stokes equa- tion " in: Physical Review Letters 56 (1986), pp. 1505 – 1508 DOI: 10.1103/PhysRevLett.56.1505 (see p. 39)
  227. G. R. MCNAMARA and G. ZANETTI " Use of the Boltzmann equation to simulate lattice-gas au- tomata " in: Physical Review Letters 61 (1988), pp. 2332 – 2335 DOI: 10.1103/PhysRevLett.61. 2332 (see p. 39)
  228. D. KANDHAI, D. HLUSHKOU, A. G. HOEKSTRA, P. M. A. SLOOT, H. VAN AS, and U. TALLAREK " Influ- ence of stagnant zones on transient and asymptotic dispersion in macroscopically homogeneous porous media " in: Physical Review Letters 88 (2002), p. 234501 DOI: 10.1103/PhysRevLett.88. 234501 (see pp. 6, 16, 32, 43, 81)
  229. N. GALTIER, N. TOURASSE, and M. GOUY " A nonhyperthermophilic common ancestor to extant life forms " in: Science 283.5399 (1999), pp. 220 – 221 DOI: 10.1126/science.283.5399.220 (see p. 1)
  230. J. W. JORGENSON " Capillary liquid chromatography at ultrahigh pressures " in: Annual Review of Analytical Chemistry 3 (2010), pp. 129 – 150 DOI: 10.1146/annurev.anchem.1.031207.113014 (see p. 76)
  231. S. CHEN and G. D. DOOLEN " Lattice Boltzmann method for fluid flows " in: Annual Review of Fluid Mechanics 30 (1998), pp. 329 – 364 DOI: 10.1146/annurev.fluid.30.1.329 (see pp. 38, 81 – 83)
  232. J. M. P. Q. DELGADO " Longitudinal and Transverse Dispersion in Porous Media " in: Chemical Engineering Research and Design 85.9 (2007), pp. 1245 – 1252 DOI: 10.1205/cherd07017 (see pp. 89, 91)
  233. Y. H. QIAN, D. D'HUMIÈRES, and P. LALLEMAND " Lattice BGK models for Navier – Stokes equation " in: EPL 17 (1992), pp. 479 – 484 DOI: 10.1209/0295-5075/17/6/001 (see pp. 39, 82, 116)
  234. M. J. R. FASHAM, H. W. DUCKLOW, and S. M. MCKELVIE " A nitrogen-based model of plankton dynamics in the oceanic mixed layer " in: Journal of Geophysical Research 48.3 (1990), pp. 591 – 639 DOI: 10.1357/002224090784984678 (see p. 1)
  235. F. DELAY, P. ACKERER, and C. DANQUIGNY " Simulating solute transport in porous or fractured formations using random walk particle tracking: A review " in: Vadose Zone Journal 4 (2005), pp. 360 – 379 DOI: 10.2136/vzj2004.0125 (see pp. 5, 85, 116)
  236. S. KHIREVICH, A. HÖLTZEL, and U. TALLAREK " Validation of pore-scale simulations of hydrody- namic dispersion in random sphere packings " in: 13.3 (2013), pp. 801 – 822 DOI: 10.4208/cicp. 361011.260112s (see pp. 78, 81, 86, 115, 116, 121)
  237. S. TORQUATO Random heterogeneous materials: microstructure and macroscopic properties Springer, 2002 (see p. 60)
  238. (SICI)1097-0363(19991130)31:6<1019::AID-FLD915>3.0.CO;2-I (see pp. 6, 81)
  239. P. M. ADLER Porous Media: Geometry and Transports Butterworth-Heinemann Series in Chemical Engineering, 1992 (see p. 3)
  240. A. W. BOWMAN and A. AZZALINI Applied Smoothing Techniques for Data Analysis: The Kernel Approach with S-Plus Illustrations Oxford University Press, 1997 (see pp. 10, 77)
  241. P. C. CARMAN Flow of Gases Through Porous Media Academic Press, 1956 (see pp. 13, 14)
  242. S. CHAPMAN and T. G. COWLING The mathematical theory of non-uniform gases 3rd ed. Cambridge University Press, 1990 (see pp. 38, 40, 83)
  243. J. BEAR Dynamics of fluids in porous media Dover Publications, 1988 (see p. 1)
  244. M. SAHIMI Flow and transport in porous media and fractured rock: From classical methods to modern approaches Wiley-VCH, 1995 (see pp. 16, 31, 89, 91)
  245. J. C. GIDDINGS Dynamics of Chromatography: principles and theory Marcel Dekker, 1965 (see pp. 9, 16, 18, 20, 28, 31, 40, 46, 49 – 52, 54, 63, 69, 70, 89, 109, 112, 123 – 126, 129, 131, 142, 143)
  246. B. D. KANDHAI " Large scale lattice-Boltzmann simulations: computational methods and applica- tions " PhD thesis The Netherlands: University of Amsterdam, 1999 (see p. 6)
  247. UBERTINI S., BELLA G., ORSZAG S. A., and SUCCI S. Lectures on Lattice Boltzmann Methods for Complex Fluid Flows Science4 Press, 2009 (see pp. 38, 81, 82)
  248. W. LI, D. PYO, Y. WAN, E. IBAIBAˇIBAŇEZ, A. MALIK, and M. L. LEE " Low aspect ratio packed capillary columns in supercritical fluid chromatography " in: Journal of Microcolumn Separations 8.4 (1996), pp. 259 – 268 DOI: 10.1002/(SICI)1520-667X(1996)8:4<259::AID-MCS3>3.0.CO;2-0 (see pp. 29, 31, 58)
  249. U. D. NEUE HPLC columns: theory, technology, and practice Wiley-VCH, 1997 (see p. 17)
  250. P. E. KLOEDEN and E. PLATEN Numerical solution of stochastic differential equations Springer-Verlag, 1995 (see p. 5)
  251. S. KHIREVICH, A. DANEYKO, and U. TALLAREK " Simulation of fluid flow and mass transport at ex- treme scale " in: Jülich Blue Gene/P Extreme Scaling Workshop 2010 ed. by B. MOHR and W. FRINGS Forschungszentrum Jülich, Jülich Supercomputing Centre, 2010 (see pp. 5, 81)
  252. W. GROPP and A. LUSK E. SKJELLUM Using MPI: Portable Parallel Programming with the Message- Passing Interface 2nd ed. MIT Press, 1999 (see pp. 12, 42, 85)
  253. S. FEKETE, D. GUILLARME, and M. W. DONG " Superficially porous particles: perspectives, practices, and trends " in: LC GC North America 32.6 (2014), p. 420 (see p. 111)
  254. I. FATT " The network model of porous media. 1. Capillary pressure characteristics " in: Transactions of the American institute of mining and metallurgical engineers 207.7 (1956), 144 – 159 (see p. 2)
  255. I. FATT " The network model of porous media. 1. Dynamic properties of networks with tube radius distribution " in: Transactions of the American institute of mining and metallurgical engineers 207.7 (1956), 164 – 181 (see p. 2)
  256. I. FATT " The network model of porous media. 2. Dynamic properties of a single size tube network " in: Transactions of the American institute of mining and metallurgical engineers 207.7 (1956), 160 – 163 (see p. 2)
  257. P. M. ADLER and H. BRENNER " Transport processes in spatially periodic capillary networks. 1. Geometrical description and linear flow hydrodynamics " in: Physicochemical Hydrodynamics 5.3-4 (1984), pp. 245 – 268 (see p. 2)
  258. G. P. ROZING " Trends in HPLC column formats — microbore, nanobore and smaller " in: LC-GC Europe 16 (2003), pp. 14 – 19 (see pp. 29, 48)
  259. P. T. CALLAGHAN, S. L. CODD, and J. D. SEYMOUR " Spatial coherence phenomena arising from translational spin motion in gradient spin echo experiments " in: Concepts in Magnetic Resonance 11.4 (1999), pp. 181 – 202 DOI: 10.1002/(SICI)1099-0534(1999)11:4<181::AID-CMR1>3.0. CO;2-T (see p. 103)
  260. C. W. GARDINER Handbook of stochastic methods: for physics, chemistry and the natural sciences 2nd ed. Springer-Verlag, 1996 (see p. 5)
  261. D. HLUSHKOU " Numerical Simulation of Flow and Mass Transport in (Electro)Chromatographic Systems " PhD thesis Magdeburg, Germany: Institute of Chemical and Process Engineering, Otto- von-Guericke-Universität, 2003 (see p. 43)
  262. J. VON NEUMANN and H. H. GOLDSTINE " Numerical inverting of matrices of high order " in: Bulletin of the American Mathematical Society 53.11 (1947), pp. 1021 – 1099 DOI: 10.1090/S0002- 9904-1947-08909-6 (see p. 3)
  263. D. LIM " Numerical study of nuclide migration in a nonuniform horizontal flow field of a high- level radioactive waste repository with multiple canisters " in: Nuclear Technology 156.2 (2006), pp. 222 – 245 (see p. 117)
  264. S. G. WEBER and P. W. CARR " High Performance Liquid Chromatography " in: ed. by P. R. BROWN and R. A. HARTWICK John Wiley & Sons, 1989 chap. 1 (see pp. 16, 65, 69, 108)
  265. P. YANG, A. H. RIZVI, B. MESSER, B. F. CHMELKA, G. M. WHITESIDES, and G. D. STUCKY " Pattern- ing porous oxides within microchannel networks " in: Advanced Materials 13.6 (2001), pp. 427 – 431 DOI: 10.1002/1521-4095(200103)13:6<427::AID-ADMA427>3.0.CO;2-C (see p. 2)
  266. F. GRITTI and G. GUIOCHON " Quantification of individual mass transfer phenomena in liquid chromatography for further improvement of column efficiency " in: LC GC North America 32.12 (2014), pp. 928 – 940 (see pp. 111, 147)
  267. J. H. CUSHMAN The Physics of Fluids in Hierarchical Porous Media: Angstroms to Miles Springer Netherlands, 1997 (see p. 2)
  268. D. J. GUNN and C. PRYCE " Dispersion in packed beds " in: Transactions of the Institution of Chemical Engineers 47 (1969), T341 (see p. 60)
  269. A. EIDSATH " Dispersion in pulsed systems — III Comparison between theory and experiments for packed beds " in: Chemical Engineering Science 38.11 (1983), pp. 1803 – 1816 DOI: 10.1016/0009- 2509(83)85037-4 (see p. 99)
  270. G. STEGEMAN, J. C. KRAAK, and H. POPPE " Dispersion in packed-column hydrodynamic chro- matography " in: Journal of Chromatography A 634.2 (1993), pp. 149 – 159 DOI: 10.1016/0021- 9673(93)83001-9 (see p. 58)
  271. R. A. SHALLIKER, B. S. BROYLES, and G. GUIOCHON " Physical evidence of two wall effects in liquid chromatography " in: Journal of Chromatography A 888 (2000), pp. 1 – 12 DOI: 10.1016/S0021- 9673(00)00517-3 (see pp. 29, 31, 71)
  272. N. WU, J. A. LIPPERT, and M. L LEE " Practical aspects of ultrahigh pressure capillary liquid chromatography " in: Journal of Chromatography A 911.1 (2001), pp. 1 – 12 DOI: 10.1016/S0021- 9673(00)01188-2 (see p. 76)
  273. M. J. E. GOLAY and J. G. ATWOOD " Early phases of the dispersion of a sample injected in poiseuille flow " in: Journal of Chromatography A 186 (1979), pp. 353 – 370 DOI: 10.1016/S0021- 9673(00)95261-0 (see p. 99)


* Das Dokument ist im Internet frei zugänglich - Hinweise zu den Nutzungsrechten