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Local Sensitivity Analysis of Kinetic Models for Cellulose Pyrolysis

  • Zhujun Dong
  • Li Xie
  • Yang Yang
  • Anthony V. Bridgwater
  • Junmeng Cai
Original Paper
  • 228 Downloads

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.

Graphical Abstract

Keywords

Pyrolysis Kinetic model Local sensitivity analysis Activation energy Frequency factor 

Abbreviations

List of Symbols

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.

T0

Starting temperature

p

Kinetic parameter in the model

nd

Number of data points

Subscripts

exp

Experimental data

cal

Calculated data

i

The ith data point

c

Corresponding kinetic parameter value for cellulose pyrolysis

Notes

Acknowledgement

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

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Copyright information

© Springer Science+Business Media B.V. 2017

Authors and Affiliations

  • Zhujun Dong
    • 1
  • Li Xie
    • 1
  • Yang Yang
    • 2
  • Anthony V. Bridgwater
    • 2
  • Junmeng Cai
    • 1
  1. 1.Key Laboratory of Urban Agriculture (South) Ministry of Agriculture, School of Agriculture and Biology, Biomass Energy Engineering Research CenterShanghai Jiao Tong UniversityShanghaiPeople’s Republic of China
  2. 2.Bioenergy Research Group, European Bioenergy Research Institute (EBRI),Aston UniversityBirminghamUK

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