||Decay of Dissolved Substances by Second-Order Reaction: Problem Description and Batch-Reactor Solutions.
Yates, S. R. ;
Enfield, C. G. ;
||Robert S. Kerr Environmental Research Lab., Ada, OK. ;Agricultural Research Service, Riverside, CA. Salinity Lab.
Reaction kinetics ;
Ground water ;
Mass transfer ;
Soil chemistry ;
Environmental transport ;
Rate constants ;
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The mass transport (advection-dispersion) equations allowing coupled second-order reaction (i.e. Omega sub 1, C sub 1) + (omega sub 2, C sub 2) (R sub 12) -> Re) between two constituents are derived and result in a set of coupled nonlinear partial differential equations. Neglecting the spatial dependence simplifies the equations and produces coupled nonlinear ordinary differential equations for which several analytical solutions are provided. The solutions may be used to illustrate the effect of the second-order reaction mechanism as well as providing a means for evaluating the reaction constant k12. (Copyright (c) 1988 Marcel Dekker, Inc.)