2002
DOI: 10.1098/rsta.2001.0951
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Enhanced dispersion in cylindrical packed beds

Abstract: The effective longitudinal dispersion constant, D(L)(eff), in cylindrical packed beds is larger than in the bulk due to the existence of radial inhomogeneities induced by the cylinder walls. For dense random packed beds, D(L)(eff) can be several times larger than the bulk value, even for arbitrarily large cylinder radius, R. The time-scale for attaining asymptotic dispersion rates in a cylindrical geometry is neither the convective nor the diffusive time-scale, but rather D(T)/R(2), where D(T) is the bulk tran… Show more

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Cited by 62 publications
(19 citation statements)
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“…The theoretical value of C = 0.64 is strictly valid for particles with spherical shape and similar sizes. It is assumed in this study that ratio of cylinder diameter (D = 2R) to particle diameter (d),ˇ= 2R/d is optimal for axial hydrodynamic dispersion [36,37].…”
Section: Mathematical Equations For Column Designmentioning
confidence: 99%
“…The theoretical value of C = 0.64 is strictly valid for particles with spherical shape and similar sizes. It is assumed in this study that ratio of cylinder diameter (D = 2R) to particle diameter (d),ˇ= 2R/d is optimal for axial hydrodynamic dispersion [36,37].…”
Section: Mathematical Equations For Column Designmentioning
confidence: 99%
“…The work by Salles et al [6] applied the Brenner's method for numerical computation of the hydrodynamic dispersion tensor [7] in prescribed periodic microscopic velocity fields. Following an alternative numerical approach, dispersion coefficients were estimated from random-walk particle-tracking simulations in micro-porous flow, e.g., modeled with the Lattice Boltzmann hydrodynamic schemes [8,9]. The perturbation analysis [10,11] predicted dispersion coefficients due to variation of the superficial (phase averaged) flow in homogeneous and heterogeneous packed tubes.…”
Section: Introductionmentioning
confidence: 99%
“…For the mean concentration of solute in confined porous media, Hamdan et al even presented an extended high-order model [47], though with complexity beyond reach of practical applications for the time being. Similar operation of average to yield Taylor dispersion is found in studies of a packed bed associated with groundwater pollution and chemical engineering [45,[48][49][50].…”
Section: Velocity Profilementioning
confidence: 79%