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KMID : 0903520000430010018
Journal of the Korean Society of Agricultural Chemistry and Biotechnology
2000 Volume.43 No. 1 p.18 ~ p.24
A Numerical Solution of Transport of Mono - and Tri - valent Cations during Steady Water Flow in a Binary Exchange System
Yoo Sun-Ho

Ro Hee-Myong
Abstract
A one-dimensional transport of displacing monovalent ion, A^+, and a trivalent ion being displaced, B^(3+), in a porous exchange system such as soil was approximated using the Crank-Nicolson implicit finite difference technique and the Thomas algorithm in tandem. The variations in the concentration profiles were investigated by varying the ion-exchange equilibrium constant (k) of ion-exchange reactions, the influent concentrations, and the cation exchange capacity (CEC) of the exchanger, under constant flux condition of pore water and dispersion coefficient. A higher value of k resulted in a greater removal of the native ion, behind the sharper advancing front of displacing ion, while the magnitude of the penetration distance of A^+ was not great. As the CEC increased, the equivalent fraction of B^(3+) initially in the soil was greater, thus indicating that a higher CEC adsorbed trivalent cations preferentially over monovalent ions. Mass balance error from simulation results was less than 1%, indicating this model accounted for instantaneous charge balance fairly well.
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