Abstract
Previous studies of solute transport in two-zone packed tube flows focused only on the cross-sectional mean concentration, a Gaussian distribution with advection velocity and Taylor dispersivity. This work analytically investigates the complete spatial concentration distribution. The two-dimensional (longitudinal and transverse) concentration distribution is obtained, by Chatwin’s long-time asymptotic technique: Edgeworth expansion. Non-Gaussian distribution effects like skewness and kurtosis are included in the asymptotic solution. Three cases with different porosity distributions between zones are studied to illustrate the impact of heterogeneity of media distributions on solute dispersion. The variation of porosity distributions can lead to great changes in velocity profiles, positions of local maxima of the concentration distribution, and basic characteristics of the cross-sectional mean concentration distribution, such as dispersivity, skewness, and kurtosis. Additionally, zones have largely different in zone-cross-sectional mean concentration distributions in the initial stage of solute transport.
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