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. 2020 Jan 10;12(1):188. doi: 10.3390/polym12010188
A1: the factor before exponent, s−1
A2: the amplitude of temperature fluctuation, K
b: the number of not pyrolyzed nodes
d: search direction
E: activation energy, kJ/mol
J: objective function
k: reaction rate constant
l: the period of temperature fluctuation, s
m: carbon-atom number
M: the number-average molecular weight of polyethylene wax
M¯: the average carbon-atom number of moleculars of polyethylene wax
n: screw speed
n: the maximum carbon-atom number of moleculars of polyethylene wax
Nm: the number of moleculars of polyethylene wax with m carbon atoms
N: measure point (a test under a specific process condition)
o: the equation order of initial or modified Arrhenius equation
p: measure point number
r: pyrolysis ratio
R: gas constant (8.314 J/(mol·K))
T: temperature, K
t: time
v: the order of reaction dynamic equation
Z: the total number of input measure points
Greek Symbols
β: search step size
Δr: the increment of pyrolysis ratio
ΔT: temperature fluctuation, K
ε: a small positive number
Ω: computational domain
Subscripts
cal: calculated
m: melting point
mea: measured
p: pyrolysis
v: evaporation
Superscripts
i, j: iteration index