Abstract
AbstractIn supercritical fluid extraction, the problem of experimental determination of apparent transport properties of the ground plant material is coupled with analysis of the histogram of the particle size distribution function. Thus, both, the diffusion coefficient, and the distribution function, have to be inferred simultaneously. An inverse procedure which relates experimentally available overall extraction curve and particle size distribution function is introduced in the present study. In a particular case of flat particles, the problem is solved in a closed form. The forward problem for the flat particles and the explicit analytical solution of the inverse problem have been tested as a preconditioner in the iterative solution of the inverse problem in case of spherical particles. Convergence of the computational procedure is demonstrated in a series of test runs for pre-defined distribution functions. Limitations of the overall algorithm applicability to the solution of inverse problems are discussed.
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