Advection-dispersion mass transport associated with a non-aqueous-phase liquid pool

Marios M. Fyrillas

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The two-dimensional problem of advection-dispersion associated with a non-aqueous-phase liquid (NAPL) pool is addressed using the boundary element method. The problem is appropriately posed with an inhomogeneous boundary condition taking into consideration the presence of the pool and the impermeable layer. We derive a Fredholm integral equation of the first kind for the concentration gradient along the pool location and compute the average mass transfer coefficient numerically using the boundary-element method. Numerical results are in agreement with asymptotic analytical solutions obtained for the cases of small and large Peclet number (Pe(x)). The asymptotic solution for small Pe(x), which is obtained by applying a novel perturbation technique to the integral equation, is used to de-singularize the integral equation. Results predicted by this analysis are in good agreement with experimentally determined overall mass transfer coefficients.

Original languageEnglish
Pages (from-to)49-63
Number of pages15
JournalJournal of Fluid Mechanics
Volume413
Publication statusPublished - Jun 25 2000
Externally publishedYes

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Advection
advection
Integral equations
integral equations
liquid phases
Mass transfer
boundary element method
Boundary element method
mass transfer
Liquids
Perturbation techniques
Peclet number
coefficients
Boundary conditions
boundary conditions
perturbation
gradients

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Advection-dispersion mass transport associated with a non-aqueous-phase liquid pool. / Fyrillas, Marios M.

In: Journal of Fluid Mechanics, Vol. 413, 25.06.2000, p. 49-63.

Research output: Contribution to journalArticle

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