Two-dimensional Laplace-transformed power series solution for solute transport in a radially convergent flow field

Jui Sheng Chen, Chen Wuing Liu, Chung Min Liao

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

This paper presents an analytical solution for two-dimensional non-axisymmetric solute transport in a radially convergent flow field. We applied a Laplace-transformed power series (LTPS) technique to solve the two-dimensional advection-dispersion equation in cylindrical coordinates. The solution is compared with a numerical solution to evaluate its robustness and accuracy. The applicable Péclet number range of the developed power series solution is also examined. Results show that the LTPS technique can effectively and accurately handle the two-dimensional radial advection-dispersion equation for a Péclet number up to 60. The two-dimensional power series solution is appropriate for hydrogeologic circumstances where temporally and spatially continuous solutions are demanded.

Original languageEnglish
Pages (from-to)1113-1124
Number of pages12
JournalAdvances in Water Resources
Volume26
Issue number10
DOIs
StatePublished - Oct 2003

Keywords

  • Laplace-transformed power series
  • Radially convergent flow field
  • Solute transport

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