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Georgiadis, J.G. Buckius, R.O. Noble, David Ronald 2015-09-25T21:12:51Z 2015-09-25T21:12:51Z 10000-01-01 1997 1997 Applying the lattice Boltzmann method, a systematic numerical investigation of interstitial fluid dynamics and dispersion in two-dimensional packed beds in the inertial regime (post-Stokes flow) is undertaken starting from first principles. Long exponential tails are found in the histograms of both interstitial velocity components for low porosity packed beds, showing agreement with experimental results reported in the literature. The permeability (which is proportional to the ratio of the filtration velocity to the streamwise macroscopic pressure gradient) is computed via ensemble averaging, and the transition from the linear (Darcy) regime to the inertial (Forchheimer) regime is quantified. Disorder is shown to play a critical role on dispersion in packed beds. In contrast to predictions based on regular periodic media, low porosity simulations for randomly packed beds predict a significant increase in the lateral dispersivity with Peclet number in complete agreement with experimental data. For longitudinal dispersion, disorder is shown to lead to a slightly superlinear increase in dispersivity with Peclet number in accordance with experimental findings. Made available in DSpace on 2015-09-25T21:12:51Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9717318.pdf: 8416042 bytes, checksum: f523f600821f01b6d00e4f3a5afeb705 (MD5) Previous issue date: 1997 Embargo set by: Seth Robbins for item 85231 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 192 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997. http://hdl.handle.net/2142/83950 (MiAaPQ)AAI9717318 eng Engineering, Chemical Lattice Boltzmann Study of the Interstitial Hydrodynamics and Dispersion in Steady Inertial Flows in Large Randomly Packed Beds text Mechanical Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.