An nth-order Gaussian energy distribution model for sintering

Burnham, Alan K.

doi:10.1016/j.cej.2004.12.037

Cited by 26 publications

(11 citation statements)

References 17 publications

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“…This article presents a comparison of different analytical methods (Kissinger and Ozawa as applied here with use of values at the maximum mass loss rate 3–7 ), an optimization method (by GA) 4 and the DAEM. 8–12 In the next section, these methods are briefly described.…”

Section: Brief Description Of Methods For the Determination Of Degradmentioning

confidence: 99%

“…The DAEM 8–11 considers a number of parallel, irreversible first-order reactions with different activation energies, represented by a probability distribution function f(E), and the pre-exponential factor, A(E), as a function of the activation energy. Similar to the Ozawa method, for selected values of conversion α, the temperature is obtained from the experimental thermogravimetry (TG) curves using three or four different heating rates (e.g.…”

Section: Brief Description Of Methods For the Determination Of Degradmentioning

confidence: 99%

“…The distribution curve of the activation energy, f(E), can be obtained by simply differentiating the α versus E relation. 8–11 No assumptions are required for the functional forms of f(E) and A(E).…”

Section: Brief Description Of Methods For the Determination Of Degradmentioning

confidence: 99%

See 2 more Smart Citations

Comparison of methods for thermal analysis: Application to PEEK and a composite PEEK+CF

Hache¹,

Delichatsios

Fateh

et al. 2015

Journal of Fire Sciences

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This article applies and critically compares essentially all methods (based on Arrhenius temperature dependence and power law reduced mass) to deduce the degradation parameters of polyether ether ketone (PEEK) and its carbon fibre composites, PEEK + CF, from thermogravimetric analysis experiments in nitrogen. The methods used include classical (and variations) analytical approximate methods, a method applying the genetic algorithm for optimization and the Distributed Activation Energy Model, usually not discussed with the other methods. The analytical methods are fast and easy to implement but they are limited to degradation kinetics having a single peak or individual separated peaks in the mass loss rate. By contrast, the genetic algorithm gives good results if a postulated mechanism of several Arrhenius reactions of arbitrary order is considered. Moreover, the Distributed Activation Energy Model provides the possibility to assess the assumption of overlapping first-order reactions having various activation energies. The degradation of PEEK and its composite is basically characterized by two regimes, one fast degradation regime (570°C-630°C approximately) and one much slower degradation regime (630°C-800°C approximately) at a mass degradation rate with time being simply proportional to the heating rate, a very remarkable new result by itself. However, the focus of the modelling in this work lies in the first fast degradation regime. It is shown that the Distributed Activation Energy Model and the genetic algorithm can simulate well the experimental results noting, however, that the Distributed Activation Energy Model is based on more physically determined activation energies. By contrast, the classical methods (Kissinger and modified Ozawa methods) are not able to reproduce the mass loss rates in the initial fast degradation regime (570°C-630°C) of pure PEEK and PEEK + CF composite. Although a physical explanation of the degradation mechanisms is desirable, the end game is to find out whether a method even not including the whole truth about a process is yet capable of reproducing the measurements accurately.

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Section: Brief Description Of Methods For the Determination Of Degradmentioning

confidence: 99%

Section: Brief Description Of Methods For the Determination Of Degradmentioning

confidence: 99%

See 1 more Smart Citation

Comparison of methods for thermal analysis: Application to PEEK and a composite PEEK+CF

Hache¹,

Delichatsios

Fateh

et al. 2015

Journal of Fire Sciences

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“…Predicting the kinetics of sintering has practical aspects for both process optimization and material lifetime prediction, which involves extrapolation of artificial aging experiments outside the range of calibration. [Burnham 2004] 3b) Thermal Decomposition PETN is relatively stable toward thermal decomposition although there has been some controversy about its stability. When the NO/NOx chemiluminescence data of Volltrauer is extrapolated to 30ºC, a half-life of 12 million years is predicted.…”

Section: A) Particle Size/morphologymentioning

confidence: 99%

Aging of Pentaerythritol Tetranitrate (PETN)

Foltz¹

2009

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“…The driving force for shrinkage is the chemical potential (molar Gibbs energy) difference of the mobile chemical species between the active center on the surface of the meso-and micropores in the compact [13,14].…”

Section: Introductionmentioning

confidence: 99%

Isothermal compressibility and isobaric thermal shrinkage of a porousα-alumina compact: thermodynamic calculations

2020

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Two methods were proposed to calculate the thermodynamic parameters of porous ceramic compacts depending on their molar volume change with applied pressure and heating temperature, respectively. Molar volume of the porous α-alumina (α-Al 2 O 3 ) compact was evaluated according to literature depending on both the applied pressure at room temperature and the heating temperature at atmospheric pressure. The isothermal compressibility coefficient, Gibbs energy, and work done on the compact by compression were calculated. The thermal shrinkage coefficient and activation energy as well as the change in enthalpy, entropy and Gibbs energy were calculated for partial sintering. The spontaneous nature of the treatments were discussed with respect to the obtained results.

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An nth-order Gaussian energy distribution model for sintering

Cited by 26 publications

References 17 publications

Comparison of methods for thermal analysis: Application to PEEK and a composite PEEK+CF

Comparison of methods for thermal analysis: Application to PEEK and a composite PEEK+CF

Aging of Pentaerythritol Tetranitrate (PETN)

Isothermal compressibility and isobaric thermal shrinkage of a porousα-alumina compact: thermodynamic calculations

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