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Enhanced dispersion in cylindrical packed beds.

R S Maier1, D M Kroll, R S Bernard

  • 1Army High Performance Computing Research Center, University of Minnesota, Minneapolis, MN 55415, USA.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|October 11, 2005
PubMed
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Wall effects significantly increase longitudinal dispersion in packed beds, especially in dense random packings. This enhanced dispersion, quantified by the effective longitudinal dispersion constant, D(L)(eff), is influenced by geometry and wall proximity.

Area of Science:

  • Chemical Engineering
  • Fluid Dynamics
  • Transport Phenomena

Background:

  • Dispersion in porous media is crucial for understanding mass transport in packed beds.
  • Cylindrical geometries introduce radial inhomogeneities affecting dispersion.
  • Existing models often assume infinite or simplified geometries, neglecting wall effects.

Purpose of the Study:

  • To investigate the impact of cylindrical walls on longitudinal dispersion in packed beds.
  • To quantify the effective longitudinal dispersion constant, D(L)(eff), in confined geometries.
  • To determine the time-scale for achieving asymptotic dispersion rates in cylindrical packed beds.

Main Methods:

  • Theoretical analysis of fluid flow and solute transport in cylindrical packed beds.

Related Experiment Videos

  • Modeling radial inhomogeneities induced by cylinder walls.
  • Comparison with dispersion in bulk flow and other geometries (e.g., rectangular ducts).

    • Main Results:

    • The effective longitudinal dispersion constant, D(L)(eff), is larger in cylindrical packed beds than in the bulk.
    • D(L)(eff) can be several times the bulk value in dense random packings, irrespective of cylinder radius.
    • The time-scale for asymptotic dispersion is D(T)/R(2), dependent on bulk transverse dispersion rate D(T) and cylinder radius R.

    Conclusions:

    • Cylinder walls significantly enhance longitudinal dispersion in packed beds.
    • Wall effects are prevalent even for large cylinder radii and various cross-sectional geometries.
    • The findings provide a more accurate understanding of mass transport in confined packed beds.