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A simplep phenomenological model of lixivitation of active substances dispersed in a porous material |
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A simplep phenomenological model of lixivitation of active substances dispersed in a porous material. Part II: shrinking core approach Author: M. R. Sławomirski
The second part of the paper presents a phenomenological model of the dissolution of small solid particles of an active substance dispersed in a porous material. It has been assumed that the leaching process is represented by a heterogeneous reaction realised accoding to the shrinking core pattern. Consequently, the dissolution phenomenon is regarded as the process determined by the reaction kinetics of order 2/3. The model has been formulated to describe the phenomenon of lixivitation of toxic substances contained in an underground depository of industrial waste materials. In the depository the lixivitation process is implied by the steady horizontal flow of subsurface water which is able to dissolve active substances. The differential equations which describe the dissolution process have been solved applying the Carson-Laplace integral transform method. The influence of crumbling of an active substance on the dissolution kinetics has briefly been discussed.
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2011