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Advisor(s)
Abstract(s)
The optimum experimental design for determining the kinetic parameters of the
model resulting from the Weibull probability density junction was studied, by
defining the sampling conditions that lead to a minimum confidence region of
the estimates, for a number of observations equal to the number of parameters.
It was found that for one single isothermal experiment the optimum sampling
times corresponded always to fractional concentrations that are irrational
numbers (approximately 0.70 and 0.19) whose product is exactly l/e’. The
experimental determination of the equilibtium conversion (for growth kinetics)
is vety important, but in some situations this is not possible, e.g. due to product
degradation over the length of time required. Sampling times leading to a
maximum precision were determined as a function of the maximum conversion
(or yield) attainable. For studies of kinetic parameters over a range of
temperatures, performed with a minimum of three isothermal experiments, it
was proved that the optimum design consists of two experiments at one limit
temperature with two sampling times (those corresponding to fractional
concentrations of approximate[v 0.70 and 0.19) and another at the other limit
temperature for a sampling time such that the fractional concentration is lie.
Case studies are included for clarijication of the concepts and procedures.
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Keywords
Pedagogical Context
Citation
CUNHA, Luís M.; OLIVEIRA, Fernanda, A. R.; OLIVEIRA, Jorge C. - Optimal experimental design for estimating the kinetic parameters of processes described by the Weibull probability distribution function. Journal of Food Engineering. ISSN 0260-8774. Vol. 37 (1998), p. 175-191
Publisher
Elsevier