An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments | Zendy

Marco Massabò | Zendy; Roberto Cianci | Zendy; Ombretta Paladino | Zendy

Open Access

An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments

Author(s) -

Marco Massabò,

Roberto Cianci,

Ombretta Paladino

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/493014

Subject(s) - advection , domain (mathematical analysis) , dispersion (optics) , bounded function , porous medium , mechanics , porosity , thermodynamics , materials science , mathematics , mathematical analysis , physics , optics , composite material

Contaminant transport through a saturated porous medium in a semi-infinite domain is studied in order to simulate an experimental apparatus mainly constituted by a chamber filled with a glass beads bed. The general solution of the advection dispersion equation in a porous medium was obtained by utilizing the Jacobi θ3 Function. The analytical solution here presented has been provided when the inlet (Dirac) and the boundary conditions (Dirichelet, Neumann, and mixed types) are fixed. The proposed solution was used to study experimental data and to estimate the transport parameters

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