A Second‐Order Approach for the Modeling of Dispersive Transport in Porous Media: 2. Application to Solute Motion in Pipes and Capillary Tubes

The second‐order dispersion model developed by Tompson and Gray (this issue) is reduced to a one‐dimensional form in terms of dimensionless variables and is applied to the simple problem of solute transport in pipes and capillaries. Numerical experiments allow the dimensionless constitutive coefficients appearing in the model to be evaluated under several flow regimes. Simple functional relationships for these coefficients in terms of the Peclet number are developed. The model performs well using these scale independent coefficients, even at early times and short travel distances, when the traditional first‐order Fickian model is inadequate.