Transient conductive and radiative transfer in a planar layer with Arrhenius heat generation

Transient conductive and radiative energy transfer in a gray absorbing-emitting planar medium bounded by black walls is studied. The temperature distribution is uniform when the medium starts releasing energy according to the Arrhenius equation. The Crank-Nicolson method is used in the radiative-dom...

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Bibliographic Details
Published in:Journal of quantitative spectroscopy & radiative transfer 1987-04, Vol.37 (4), p.319-329
Main Authors: Crosbie, A.L., Pattabongse, M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat transfer
Physics
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Summary:Transient conductive and radiative energy transfer in a gray absorbing-emitting planar medium bounded by black walls is studied. The temperature distribution is uniform when the medium starts releasing energy according to the Arrhenius equation. The Crank-Nicolson method is used in the radiative-dominant case with good accuracy. Time-dependent temperature and heat flux distributions are calculated until steady-state is reached. Confirmation of the solution technique is made by comparison with previous investigations. The dimensionless activation energy required for ignition varies from 4.1 for pure conduction to 7.5 for pure radiation.
ISSN:0022-4073
1879-1352
DOI:10.1016/0022-4073(87)90001-X