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A simple phenomenological model of lixivitation of active substances dispersed in a porous material. |
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A simple phenomenological model of lixivitation of active substances dispersed in a porous material. Part I: progressive conversion approach Author: M. Sławomirski
In this paper the lixivitation of small solid particles of an active substance dispersed in a porous material has been considered. The model has been formulated in order to describe the phenomenon of lixivitation of toxic substances contained in industrial waste material located in an undergound depository. In the depository the lixivitation process is implied by the steady horizontal flow of subsurface water which is able to dissolve active substances. It has been assumed that the dissolution phenomenon depends on the reaction kinetics. The progressive conversion, unreacted core, and shrinking core models of the heterogeneous liquid - solid reaction have briefly been described. The system of differential equations which describe the lixivitation process for the progressive conversion dissolution pattern has been solved applying the Carson-Laplace integral transform method. The adequacy of the discontinuous solution of the boundary value problem for the description of the genuine lixivitation process has briefly been discussed.
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2011