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Local Sensitivity Analysis of Kinetic Models for Cellulose Pyrolysis

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Abstract

The first and nth order kinetic models are usually used to describe cellulose pyrolysis. In this work, the local sensitivities of the conversion and derivative conversion with respect to the frequency factor, the logarithm of the frequency factor, the activation energy and the reaction order for the first and nth order kinetic models are calculated by using the finite difference method. The results show that the sensitivities of the first and nth order kinetic models with respect to the activation energy and the logarithm of the frequency factor are significant, while the frequency factor and the reaction order affect the nth order kinetic model slightly. Compared with the frequency factor, the natural logarithm of the frequency factor is a better choice in the parameter estimation of the first and nth order kinetic models.

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Abbreviations

ODE:

Ordinary differential equation

RSS:

Residual sum of squares

TG:

Thermo-gravimetric

DTG:

Derivative thermo-gravimetric

DSC:

Differential scanning calorimetry

Q-DTA:

Differential thermal analysis under quasi-isothermal, quasi-isobaric conditions

α:

Degree of conversion

n :

Reaction order

A :

Frequency factor

E :

Activation energy

R :

Universal gas constant

β :

Heating rate

t :

Time

T :

Absolute temperature.

T 0 :

Starting temperature

p :

Kinetic parameter in the model

n d :

Number of data points

exp:

Experimental data

cal:

Calculated data

i :

The ith data point

c :

Corresponding kinetic parameter value for cellulose pyrolysis

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Acknowledgement

Financial support from participation in research program at Shanghai Jiao Tong University (Project No. T150PRP31027) is greatly acknowledged.

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Authors and Affiliations

  1. Key Laboratory of Urban Agriculture (South) Ministry of Agriculture, School of Agriculture and Biology, Biomass Energy Engineering Research Center, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240, People’s Republic of China

    Zhujun Dong, Li Xie & Junmeng Cai

  2. Bioenergy Research Group, European Bioenergy Research Institute (EBRI),, Aston University, Birmingham, B4 7ET, UK

    Yang Yang & Anthony V. Bridgwater

Authors
  1. Zhujun Dong
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  2. Li Xie
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  3. Yang Yang
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  4. Anthony V. Bridgwater
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  5. Junmeng Cai
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Correspondence to Junmeng Cai.

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Dong, Z., Xie, L., Yang, Y. et al. Local Sensitivity Analysis of Kinetic Models for Cellulose Pyrolysis. Waste Biomass Valor 10, 975–984 (2019). https://doi.org/10.1007/s12649-017-0097-5

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  • DOI: https://doi.org/10.1007/s12649-017-0097-5

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