General consideration of interfacial area changes with time

General Consideration of Interfacial Area Changes with Time 

This adsorption model can be solved analytically using Laplace Transforms (Hansen 1961, Miller 1983) but the result is a non-linear Volterra integral equation similar to the Ward Tordai equation (4.1)  

This integral equation cannot be used directly for the interpretation of experimental data, again a numerical procedure has to be applied. Another possibility consists in the application of a numerical method directly to the initial and boundary value problem. In Appendix 4C an algorithm is also given for the case of the boundary condition (4.37). 

A more general model for a difhision-controlled adsorption with a time dependent interfacial area was derived by Joos van Uffelen (1993a). In their model the flow resulting from an area 

The different signs stand for the compression (+) and dilation (-) case. 

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