A numerical study of the thermally-induced response of decomposing, expanding polymer composites

Numerische Studie der thermisch bedingten Reaktion von sich zersetzenden, expandierenden polymeren Materialien

Abstract

A numerical study of the thermally-induced response of two similar decomposing, expanding glass-filled polymer composites has been conducted. The study was performed using a newly developed numerical model, the accuracy of which was established by comparing predicted and experimental temperature profiles for one of the composites of interest. The results of the study were used to evaluate the effects of composition and processing history on the response of the materials.

Zusammenfassung

Eine numerische Studie der thermisch bedingten Reaktion von zwei ähnlichen sich zersetzenden, expandierenden, glasgefüllten polymeren Materialien wird hergeleitet. Die Studie wurde mit einem neu entwickelten numerischen Modell durchgeführt. Dessen Genauigkeit basiert auf einem Vergleich der berechneten mit den experimentell ermittelten Temperaturprofilen von einem der interessierenden Materialien. Die Ergebnisse der Studie werden dazu verwendet, um den Einfluß der Zusammensetzung und des Bearbeitungsverfahrens auf das Verhalten der Materialien zu beurteilen.

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Abbreviations

A :

pre-exponential factor (s−1)

C p :

specific heat (J/kg K)

E :

activation energy (J/kmol)

F :

instantaneous mass fraction (−)

f :

incident heat flux (W/m2)

G :

instantaneous density fraction (−)

h :

enthalpy (J/kg)

¯h :

convection heat transfer coefficient (W/m2 K)

k :

thermal conductivity (W/m K)

L :

slab thickness (m)

M :

molecular weight of gases (kg/kmol)

m :

mass (kg)

\(\dot m''_g \) :

mass flux of gas (kg/m2 s)

n :

order of reaction (−)

P :

pressure (Pa)

Q :

heat of decomposition (J/kg)

R :

universal gas constant (J/kmol K)

T :

temperature (K)

t :

time (s)

x :

spatial variable (m)

α :

absorptivity (−)

β :

coefficient of linear expansion (K−1)

γ :

permeability (m2)

ΔA :

unit cross-sectional area (m2)

Δχ :

control volume width (m)

ɛ :

emissivity (−)

ζ :

decomposition permeability factor (−)

η :

decomposition expansion factor (−)

μ :

gas viscosity (kg/m s)

ξ :

generic variable

σ :

Stefan-Boltzmann constant (W/m2 K″4)

φ :

porosity (−)

ψ :

coefficient of linear permeability (K−1)

∞:

ambient

0:

initial value

c :

char material

f :

final value

g :

decomposition gas

r :

radiation source

s :

material surface

v :

virgin material

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Henderson, J.B., Wiecek, T.E. A numerical study of the thermally-induced response of decomposing, expanding polymer composites. Wärme- und Stoffübertragung 22, 275–284 (1988). https://doi.org/10.1007/BF01377253

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Keywords

  • Polymer
  • Numerical Model
  • Temperature Profile
  • Apply Physic
  • Polymer Composite