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And van Baten, J. , 2003, Mass Transfer in Bubble Columns, Catalysis Today, v. 7980, pp. 67-75. Application of simulated annealing and hybrid methods in the solution of inverse heat and mass transfer problems 47 Lobato, F. S. , 2007, Engineering System Design with Multi-Objective Differential Evolution, In Proceedings in 19th International Congress of Mechanical Engineering - COBEM. Lobato, F. , Arruda, E. B. and Barrozo, M. A. , 2008, Estimation of Drying Parameters in Rotary Dryers using Differential Evolution, Journal of Physics: Conference Series, Vol.

V. and Mikhailov, Y. , 1965, Theory of Energy and Mass Transfer, Pergamon Press, Oxford, England. , Myszka W. , 2007, Application of Differential Evolution Algorithm for Identification of Experimental Data, The Arquive of Mechanical Engineering, 4, 327-337. Mariani V. , Lima A. G. B. and Coelho L. , 2008, Apparent Thermal Diffusivity Estimation of the Banana during Drying using Inverse Method, Journal of Food Engineering, 85, 569579. Marquardt, D. , 1963, An Algorithm for Least-Squares Estimation of Nonlinear Parameters, J.

The designed experiment is marked with a full square. Its choice is justified by the small gain in sensitivity considering the operational difficulties in using a longer column or a higher superficial velocity. Considering the analysis of the sensitivity graphs and the determinant of the matrix SCT SC , two experiments were designed, one to estimate K 2 (T ) and aˆ , and another to estimate  , as shown in Table 12. The results achieved using the ANN, LM 1 (gradient approximated by FDM), LM 2 (gradient approximated by ANN), SA and hybrid combinations, for different standard deviations for the measurements errors,  , are shown in Tables 13 and 14.

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