### Monday, April 30, 2007

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### Modelling and simulation of batch adsorption process of fructose on activated carbon

^{1}, Renata M. R. G. Almeida

^{1}, Wagner R. O. Pimentel

^{1},

**Frede O. Carvalho**

^{1}, and Marcondes L. Silva

^{2}. (1) Technology Center, Federal University of Alagoas, Campus A. C. Simoes, Via Br 104-North, Km 97, Tabuleiro dos Martins, Maceio, Brazil, (2) Fundacao Visconde de Cairu, Salete street, n. 50, Parris, Salvador, Brazil

The
fructose is an important sugar found in the nature, present in fruits and in
the honey, could be used as sweetener in patients' diets with hypoglycemia. The
fructose can be produced industrially from the inversion of the sucrose,
however it should be separated from the produced glucose. The process of
adsorption is the most used in the separation of sugars with high commercial
value, like this product. In this context, for a larger understanding of the
adsorption process it is necessary the realization of the mathematical
modelling and simulation of the process. It is observed that numeric methods,
like orthogonal collocation, have been used in problems with reaction and
diffusion. In this work, the theoretical study was carried out of simulation
and mathematical modelling of the fructose adsorption on activated carbon. The
results were compared with the experimental data of the runs carried out on
different temperature conditions, 20, 30 and 50^{o}C. Two models were
appraised: first a kinetic model, where kinetic parameters were adjusted;
second a diffusion model, built to adjust kinetic and diffusion parameters, where
the method of the orthogonal collocation was used to solve of the partial
differential equations of the model. For this step, numeric strategy and
computational programs were developed for solution of the differential and
algebraic equations of the model. The minimum square method was used in the two
models for parameters obtention for the
adjustment with the experimental data. The obtained results were suitable with
the expected ones.

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