General Analysis of Longitudinal Dispersion in Nonuniform Flow

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Abstract
An analytical method is proposed by which the effects of flow nonuniformity and variable dispersion coefficients can be evaluated for problems involving longitudinal dispersion in porous media. A boundary layer approximation is used to develop general solutions of the one‐dimensional convective‐dispersion equation for steady flow. Several examples are considered by using the analytical method, and the general effect of flow nonuniformity on dispersion is discussed. Comparisons of the analytical solution with numerical solutions of the exact equation indicate that the method will yield accurate results in many applications.