Analytical solution of the advection – diffusion transport equation using a change-of-variable and integral transform technique

  title={Analytical solution of the advection – diffusion transport equation using a change-of-variable and integral transform technique},
  author={Jes{\'u}s Guerrero and L. C. G. Pimentel and Todd H. Skaggs and M. Th. van Genuchten},
This paper presents a formal exact solution of the linear advection–diffusion transport equation with constant coefficients for both transient and steady-state regimes. A classical mathematical substitution transforms the original advection–diffusion equation into an exclusively diffusive equation. The new diffusive problem is solved analytically using the classic version of Generalized Integral Transform Technique (GITT), resulting in an explicit formal solution. The new solution is shown to… CONTINUE READING
Highly Cited
This paper has 21 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-10 of 15 extracted citations

Molecular communication using magnetic nanoparticles

2018 IEEE Wireless Communications and Networking Conference (WCNC) • 2018


Publications referenced by this paper.
Showing 1-10 of 24 references

Integral Transforms in Computational Heat and Fluid Flow

R. M. Cotta
CRC Press, Boca Raton, FL • 1993
View 10 Excerpts
Highly Influenced

Convective–dispersive transport of solutes involved in sequential first-order decay reactions, Comput. Geosci

M.Th. van Genuchten
View 7 Excerpts
Highly Influenced

Heat Conduction

M. N. Ozisik
Wiley, New York • 1980
View 4 Excerpts
Highly Influenced

Handbook of Linear Partial Differential Equations for Engineers and Scientists

A. D. Polyanin
Chapman & Hall/CRC Press, Boca Raton • 2002
View 1 Excerpt

Analytical modeling of nonaqueous phase liquid dissolution with Green’s functions, Transport in Porous Media

F. J. Leij, M.Th. van Genuchten
View 1 Excerpt

van Genuchten

J. Simunek, M. Th
M. Sejna, N. Toride, F.J. Leij, The STANMOD computer software for evaluating solute transport in porous media using analytical solutions of convection–dispersion equation, Versions 1.0 and 2.0, IGWMC-TPS-71, International Ground Water Modeling Center, Colorado School of Mines, Golden, Colorado • 1999

Analytical Solutions for One

E. J. Wexler
Two-, and Three-Dimensional Solute Transport in Ground-Water Systems with Uniform Flow, U.S. Geological Survey Techniques of Water-Resources Investigations • 1992
View 1 Excerpt

Analytical solutions for solute transport in three-dimensional semi-infinite porous media

F. J. Leij, T. H. Skaggs, M.Th. van Genuchten
Water Resour. Res • 1991
View 1 Excerpt

Similar Papers

Loading similar papers…