Some analytical solutions for two-dimensional convection-dispersion equation in cylindrical geometry

Authors:
Marco Massabó;Roberto Cianci;Ombretta Paladino
Affiliations:
DIAM - Dipartimento di Ingegneria Ambientale, CIMA-Centro di Ricerca Interuniversitario in Monitoraggio Ambientale, Universití di Genova, Via Cadorna 7, 17100 Savona, Italy;DIPMEM - Dipartimento di Metodi e Modelli Matematici, University of Genova, Piazzale Kennedy, Pad. D - 16129 Genova, Italy;DIAM - Dipartimento di Ingegneria Ambientale, CIMA-Centro di Ricerca Interuniversitario in Monitoraggio Ambientale, Universití di Genova, Via Cadorna 7, 17100 Savona, Italy
Venue:
Environmental Modelling & Software
Year:
2006

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Abstract

In this paper some analytical solutions are given for a two-dimensional advection equation with anisotropic dispersion. Chemical decay or adsorption-like reaction inside the liquid phase is considered. Bessel function expansion is used to solve the second order PDE model with different initial conditions, corresponding to usual experimental practices. Cylindrical geometry is considered since large columns could be adopted to investigate both anisotropic dispersion and adsorption/desorption kinetic mechanisms.