The basic theory of thermal ignition is largely based on the heat conduction equation with an Arrhenius exothermic reaction term [1][2][3]. If one assumes that reactant concentration is uniform, depletion can be ignored, and conduction is the only heat transport mechanism, then criticality behavior
Thermal ignition in an asymmetrically heated slab: Effects of reactant consumption
โ Scribed by B.J. Tyler; D.R. Jones
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 630 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0010-2180
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โฆ Synopsis
Spatial and temporal variations of temperature and concentration in a layer of reactive material undergoing self-heating have been found by numerical integration of the governing equations. The method has been used to examine the effects of reactant consumption on ignition in an asymmetrically heated slab, with reaction by fast-order kinetics. A wide range of initial conditions have been considered and an arbitrary but practically useful criterion of ignition has been developed. Values are reported for (i) the critical ignition parameter 6, (ii) ignition times, (iii) the magnitude and position of the temperature maximum in subcritical conditions, and (iv) the degree of reactant depletion at ignition. The results are compared with analyses for zero-order reaction and their practical applications considered.
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