On the anisotropic advection-diffusion equation with time dependent coefficients
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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2017
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| _version_ | 1876424131100016640 |
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| author | H. Hernandez-Coronado |
| author_facet | H. Hernandez-Coronado |
| contents | On the anisotropic advection-diffusion equation with time dependent coefficients H. Hernandez-Coronado M. Coronado D. Del-Castillo-Negrete Física, Astronomía y Matemáticas Time anisotropic media dependent diffusion tracer and pollutant transport The advection-diffusion equation with time dependent velocity and anisotropic time dependent diffusion tensor is examined in regard to its non-classical transport features and to the use of a non-orthogonal coordinate system. Although this equation appears in diverse physical problems, particularly in particle transport in stochastic velocity fields and in underground porous media, a detailed analysis of its solutions is lacking. In order to study the effects of the time-dependent coefficients and the anisotropic diffusion on transport, we solve analytically the equation for an initial Dirac delta pulse. We discuss the solutions to three cases: one based on power-law correlation functions where the pulse diffuses faster than the classical rate ∼ t , a second case specifically designed to display slower rate of diffusion than the classical one, and a third case to describe hydrodynamic dispersion in porous media. 2017 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57050469007 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.1 Vol.63 |
| format | Artículo científico |
| id | redalyc_57050469007 |
| institution | Redalyc |
| language | en |
| publishDate | 2017 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | On the anisotropic advection-diffusion equation with time dependent coefficients H. Hernandez-Coronado Física, Astronomía y Matemáticas Time anisotropic media dependent diffusion tracer and pollutant transport On the anisotropic advection-diffusion equation with time dependent coefficients H. Hernandez-Coronado M. Coronado D. Del-Castillo-Negrete Física, Astronomía y Matemáticas Time anisotropic media dependent diffusion tracer and pollutant transport The advection-diffusion equation with time dependent velocity and anisotropic time dependent diffusion tensor is examined in regard to its non-classical transport features and to the use of a non-orthogonal coordinate system. Although this equation appears in diverse physical problems, particularly in particle transport in stochastic velocity fields and in underground porous media, a detailed analysis of its solutions is lacking. In order to study the effects of the time-dependent coefficients and the anisotropic diffusion on transport, we solve analytically the equation for an initial Dirac delta pulse. We discuss the solutions to three cases: one based on power-law correlation functions where the pulse diffuses faster than the classical rate ∼ t , a second case specifically designed to display slower rate of diffusion than the classical one, and a third case to describe hydrodynamic dispersion in porous media. 2017 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57050469007 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.1 Vol.63 |
| title | On the anisotropic advection-diffusion equation with time dependent coefficients |
| topic | Física, Astronomía y Matemáticas Time anisotropic media dependent diffusion tracer and pollutant transport |
| url | https://www.redalyc.org/articulo.oa?id=57050469007 |