%0 Report %1 vanGenuchten1982Analytical %A van Genuchten, %A Alves, W. J. %D 1982 %I Agricultural Research Service, United States Department of Agriculture %K 35k57-reaction-diffusion-equations 44a10-laplace-transform 76-02-fluid-mechanics-research-exposition 76-04-fluid-mechanics-explicit-machine-computation-and-programs 76r05-forced-convection %N 1661 %T Analytical Solutions of the One-Dimensional Convective–Dispersive Solute Transport Equation %U https://www.ars.usda.gov/arsuserfiles/20360500/pdf\_pubs/P0753.pdf %X This compendium lists available mathematical models and associated computer programs for solution of the one-dimensional convective-dispersive solute transport equation. The governing transport equations include terms accounting for convection, diffusion and dispersion, and linear equilibrium adsorption. In some cases, the effects of zero-order production and first-order decay have also been taken into account. Numerical analytical solutions of the general transport equation have been published, both in well-known and widely distributed journals and in lesser known reports or conference proceedings. This study brings together the most common of these solutions in one publication. Some of the listed solutions have been published previously. Many others, however, were not available and have been derived to make the list of solutions more complete. User-oriented FORTRAN IV computer programs of several analytical solutions and one numerical solution are given in an appendix. A list of Laplace transforms used to derive the analytical solutions is provided also.

@techreport{vanGenuchten1982Analytical, abstract = {{This compendium lists available mathematical models and associated computer programs for solution of the one-dimensional convective-dispersive solute transport equation. The governing transport equations include terms accounting for convection, diffusion and dispersion, and linear equilibrium adsorption. In some cases, the effects of zero-order production and first-order decay have also been taken into account. Numerical analytical solutions of the general transport equation have been published, both in well-known and widely distributed journals and in lesser known reports or conference proceedings. This study brings together the most common of these solutions in one publication. Some of the listed solutions have been published previously. Many others, however, were not available and have been derived to make the list of solutions more complete. User-oriented FORTRAN IV computer programs of several analytical solutions and one numerical solution are given in an appendix. A list of Laplace transforms used to derive the analytical solutions is provided also.}}, added-at = {2019-03-01T00:11:50.000+0100}, author = {van Genuchten and Alves, W. J.}, biburl = {https://www.bibsonomy.org/bibtex/2c3a9f74a9d4b43e84e71b3f547c844cd/gdmcbain}, citeulike-article-id = {14685522}, citeulike-attachment-1 = {genuchten_82_analytical.pdf; /pdf/user/gdmcbain/article/14685522/1152555/genuchten_82_analytical.pdf; 85b6bcd7b089cc85129a9e322af52f7080482743}, citeulike-linkout-0 = {https://www.ars.usda.gov/arsuserfiles/20360500/pdf\_pubs/P0753.pdf}, file = {genuchten_82_analytical.pdf}, howpublished = {Technical Bulletin}, institution = {U. S. Salinity Laboratory}, interhash = {006051993f5442d1dcf93a1dbcf4b0c3}, intrahash = {c3a9f74a9d4b43e84e71b3f547c844cd}, keywords = {35k57-reaction-diffusion-equations 44a10-laplace-transform 76-02-fluid-mechanics-research-exposition 76-04-fluid-mechanics-explicit-machine-computation-and-programs 76r05-forced-convection}, number = 1661, posted-at = {2019-02-05 00:02:32}, priority = {2}, publisher = {Agricultural Research Service, United States Department of Agriculture}, timestamp = {2019-03-01T00:11:50.000+0100}, title = {{Analytical Solutions of the One-Dimensional Convective–Dispersive Solute Transport Equation}}, url = {https://www.ars.usda.gov/arsuserfiles/20360500/pdf\_pubs/P0753.pdf}, year = 1982 }