 |
| Titel |
Generalized analytical solution for advection-dispersion equation in finite spatial domain with arbitrary time-dependent inlet boundary condition |
| VerfasserIn |
J.-S. Chen, C.-W. Liu |
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| ISSN |
1027-5606
|
| Digitales Dokument |
URL |
| Erschienen |
In: Hydrology and Earth System Sciences ; 15, no. 8 ; Nr. 15, no. 8 (2011-08-05), S.2471-2479 |
| Datensatznummer |
250012920
|
| Publikation (Nr.) |
 copernicus.org/hess-15-2471-2011.pdf |
|
|
|
|
|
| Zusammenfassung |
| This study presents a generalized analytical solution for one-dimensional
solute transport in finite spatial domain subject to arbitrary
time-dependent inlet boundary condition. The governing equation includes
terms accounting for advection, hydrodynamic dispersion, linear equilibrium
sorption, and first order decay processes. The generalized analytical
solution is derived by using the Laplace transform with respect to time and
the generalized integral transform technique with respect to the spatial
coordinate. Some special cases are presented and compared to illustrate the
robustness of the derived generalized analytical solution. Result shows an
excellent agreement between the analytical and numerical solutions. The
analytical solutions of the special cases derived in this study have
practical applications. Moreover, the derived generalized solution which
consists an integral representation is evaluated by the numerical
integration to extend its usage. The developed generalized solution offers a
convenient tool for further development of analytical solution of specified
time-dependent inlet boundary conditions or numerical evaluation of the
concentration field for arbitrary time-dependent inlet boundary problem. |
| |
|
| Teil von |
|
|
|
|
|
|
|
|