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

@inproceedings{Guerrero2009AnalyticalSO,
  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},
  year={2009}
}
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
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