An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments
We study a uniform flow in a parallel plate geometry to model contaminant transport through a saturated porous medium in a semi-infinite domain in order to simulate an experimental apparatus mainly constituted by a chamber filled with a glass beads bed. The general solution of the advection dispersi...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/493014 |
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| author | M. Massabó R. Cianci O. Paladino |
| author_facet | M. Massabó R. Cianci O. Paladino |
| author_sort | M. Massabó |
| collection | DOAJ |
| description | We study a uniform flow in a parallel plate geometry to model contaminant
transport through a saturated porous medium in a semi-infinite domain 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 acquired by using a noninvasive technique. |
| format | Article |
| id | doaj-art-e7a70f55adab47fd8f0e1d8e4a9c0a2b |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e7a70f55adab47fd8f0e1d8e4a9c0a2b2025-08-20T02:21:10ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/493014493014An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory ExperimentsM. Massabó0R. Cianci1O. Paladino2CIMA Research Foundation, Via Magliotto 2, 17100 Savona, ItalyDepartment of Engineering Production, Thermoenergetic and Mathematical Models, DIPTEM, University of Genoa, Piazzale Kennedy, Pad. D, 16129 Genoa, ItalyCIMA Research Foundation, Via Magliotto 2, 17100 Savona, ItalyWe study a uniform flow in a parallel plate geometry to model contaminant transport through a saturated porous medium in a semi-infinite domain 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 acquired by using a noninvasive technique.http://dx.doi.org/10.1155/2011/493014 |
| spellingShingle | M. Massabó R. Cianci O. Paladino An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments Journal of Applied Mathematics |
| title | An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments |
| title_full | An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments |
| title_fullStr | An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments |
| title_full_unstemmed | An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments |
| title_short | An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments |
| title_sort | analytical solution of the advection dispersion equation in a bounded domain and its application to laboratory experiments |
| url | http://dx.doi.org/10.1155/2011/493014 |
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