Lattice Boltzmann Study of the Interstitial Hydrodynamics and Dispersion in Steady Inertial Flows in Large Randomly Packed Beds
Noble, David Ronald
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https://hdl.handle.net/2142/83950
Description
Title
Lattice Boltzmann Study of the Interstitial Hydrodynamics and Dispersion in Steady Inertial Flows in Large Randomly Packed Beds
Author(s)
Noble, David Ronald
Issue Date
1997
Doctoral Committee Chair(s)
Georgiadis, J.G.
Buckius, R.O.
Department of Study
Mechanical Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Chemical
Language
eng
Abstract
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.
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