%0 Journal Article
%A Chamkha, Ali J.
%D 2005
%I Begell House
%N 1
%P 1-20
%R 10.1615/InterJFluidMechRes.v32.i1.10
%T Modeling of Multi-Species Contaminant Transport with Spatially-Dependent Dispersion and Coupled Linear/Non-Linear Reactions
%U http://dl.begellhouse.com/journals/71cb29ca5b40f8f8,692fa7a01e42b476,21fb46fc5880af31.html
%V 32
%X A one-dimensional four-species sequential reactive contaminant transport model with spatially-dependent dispersion coefficient and transport velocity is considered. The sequential reactions which take place are assumed to be nonlinear and of arbitrary order. Two types of variations of the dispersion coefficient with the downstream distance are considered. The first type assumes that the dispersivity increases as a power function with distance while the other assumes an exponentially-increasing function. The transport velocity is also assumed to follow a general power-law function with the space coordinate. The general governing equations are non-dimensionalized and solved numerically by an efficient implicit iterative tri-diagonal finite-difference method. Comparisons with previously published analytical solutions for special cases of the problem are performed and found to be in excellent agreement. A parametric study of all physical parameters is conducted and the results are presented graphically to illustrate interesting features of the solutions. It is found that the chemical reaction order, the scale-dependent dispersion coefficient and the non-uniform transport velocity have significant effects on the multi-species concentration profiles.
%8 2005-09-01