Abstract
Residual differences after model fitting were investigated in both isothermal and non-isothermal kinetics in order to make numerical comparisons between several models and various parameter-estimating methods. Data from two independent experimental series were evaluated. A large data set, collected earlier under isothermal conditions from decompositions and hydrothermal reactions of aluminium hydroxides and oxides, was processed first. It showed that mechanical activation of the starting gibbsite affected reactivity of samples in several subsequent reactions for all model equations tried. The relative residual deviation concept is introduced, and statistics were applied to find a model that fits a certain reaction in most of the cases. In the second study, the sulphate decomposition step of aluminium sulphate octadecahydrate was investigated. TG curves were measured using a constant heating rate. Dynamic models were fitted by three mathematical methods, including a new general purpose one. Fitting ability of the methods with various complexity were compared on the basis of residual deviations obtained after integration of the model equations. As well as evaluating the best fit, this new parameter-estimating method provides a statistical analysis of the reliability of the whole model fitting process.
| Original language | English |
|---|---|
| Pages (from-to) | 1367-1378 |
| Number of pages | 12 |
| Journal | Journal of Thermal Analysis |
| Volume | 40 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Oct 1993 |
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Keywords
- aluminium compounds
- isothermal and non-isothermal reactions
- parameter-estimating methods
ASJC Scopus subject areas
- Chemical Engineering(all)
- Engineering(all)
Cite this
Comprehensive kinetic studies on isothermal and non-isothermal reactions of some aluminium compounds. / Madarász, J.; Pokol, G.; Novák, C.; Moselhy, H.; Gál, S.
In: Journal of Thermal Analysis, Vol. 40, No. 3, 10.1993, p. 1367-1378.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Comprehensive kinetic studies on isothermal and non-isothermal reactions of some aluminium compounds
AU - Madarász, J.
AU - Pokol, G.
AU - Novák, C.
AU - Moselhy, H.
AU - Gál, S.
PY - 1993/10
Y1 - 1993/10
N2 - Residual differences after model fitting were investigated in both isothermal and non-isothermal kinetics in order to make numerical comparisons between several models and various parameter-estimating methods. Data from two independent experimental series were evaluated. A large data set, collected earlier under isothermal conditions from decompositions and hydrothermal reactions of aluminium hydroxides and oxides, was processed first. It showed that mechanical activation of the starting gibbsite affected reactivity of samples in several subsequent reactions for all model equations tried. The relative residual deviation concept is introduced, and statistics were applied to find a model that fits a certain reaction in most of the cases. In the second study, the sulphate decomposition step of aluminium sulphate octadecahydrate was investigated. TG curves were measured using a constant heating rate. Dynamic models were fitted by three mathematical methods, including a new general purpose one. Fitting ability of the methods with various complexity were compared on the basis of residual deviations obtained after integration of the model equations. As well as evaluating the best fit, this new parameter-estimating method provides a statistical analysis of the reliability of the whole model fitting process.
AB - Residual differences after model fitting were investigated in both isothermal and non-isothermal kinetics in order to make numerical comparisons between several models and various parameter-estimating methods. Data from two independent experimental series were evaluated. A large data set, collected earlier under isothermal conditions from decompositions and hydrothermal reactions of aluminium hydroxides and oxides, was processed first. It showed that mechanical activation of the starting gibbsite affected reactivity of samples in several subsequent reactions for all model equations tried. The relative residual deviation concept is introduced, and statistics were applied to find a model that fits a certain reaction in most of the cases. In the second study, the sulphate decomposition step of aluminium sulphate octadecahydrate was investigated. TG curves were measured using a constant heating rate. Dynamic models were fitted by three mathematical methods, including a new general purpose one. Fitting ability of the methods with various complexity were compared on the basis of residual deviations obtained after integration of the model equations. As well as evaluating the best fit, this new parameter-estimating method provides a statistical analysis of the reliability of the whole model fitting process.
KW - aluminium compounds
KW - isothermal and non-isothermal reactions
KW - parameter-estimating methods
UR - http://www.scopus.com/inward/record.url?scp=0027864998&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0027864998&partnerID=8YFLogxK
U2 - 10.1007/BF02546901
DO - 10.1007/BF02546901
M3 - Article
AN - SCOPUS:0027864998
VL - 40
SP - 1367
EP - 1378
JO - Journal of Thermal Analysis and Calorimetry
JF - Journal of Thermal Analysis and Calorimetry
SN - 1388-6150
IS - 3
ER -