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Advisor(s)
Abstract(s)
Optimal experimental designs for maximum precision in the estimation of diffusivities (D) and mass transfer coefficients
(Kc) for solute transport from/to a solid immersed in a fluid were determined. Diffusion in the solid was considered to take
place according to Fick's second law. It was found that the optimal design was dependent on the Biot number. In the range of
Biot numbers tested (0.1±200), the first sampling time corresponded to values of fractional loss/uptake between 0.10 and 0.32,
and the second sampling time corresponded to values of fractional loss/uptake between 0.67 and 0.82. Pseudo-experimental
data were simulated by applying randomly generated sets of errors, taken from a normal distribution with 5% standard
deviation, to data calculated using given values of the model parameters. Both optimal and heuristic designs (for which the
sampling times corresponded to values of fractional loss/uptake from 0.30 to 0.95) were analyzed. The accuracy and precision
of the estimates obtained by non-linear regression were compared. It was confirmed that optimal designs yield best results in
terms of precision, although it was concluded that the joint estimation of D and Kc should, in general, be avoided. For
intermediate values of the Biot number, reasonably precise and accurate estimates can however be obtained if the experimental
error is small. # 1998 IMACS/Elsevier Science B.V
Description
Keywords
Heuristic experimental design Mass transfer parameters Optimal experimental design Parameter estimation
Citation
Mathematics and Computers in Simulation. 48, 1 (1998), 11-22
Publisher
Elsevier