Numerical Calculation of Mass Transfer from Elliptical Pools in Uniform Flow Using the Boundary Element Method

2004 ◽  
Vol 55 (1) ◽  
pp. 91-102 ◽  
Author(s):  
M. M. Fyrillas ◽  
E. J. Kontoghiorghes
Keyword(s):  
Mass Transfer ◽  
Numerical Calculation ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Uniform Flow ◽  
Element Method

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

2000 ◽  
Vol 413 ◽  
pp. 49-63 ◽  
Author(s):  
MARIOS M. FYRILLAS
Keyword(s):  
Mass Transfer ◽  
Integral Equation ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Aqueous Phase ◽  
Perturbation Technique ◽  
Transfer Coefficients ◽  
Advection Dispersion ◽  
Phase Liquid ◽  
Element Method

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 Péclet number (Pex). The asymptotic solution for small Pex, 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.

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