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Thermal explosion theory for a slab with partial insulation

โœ Scribed by J. Adler

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
279 KB
Volume
50
Category
Article
ISSN
0010-2180

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โœฆ Synopsis

Liouville's nonlinear partial differential equation is considered for an infinite rectangular strip domain with mixed boundary conditions. It arises in the determination of the two-dimensional temperature distribution within an exothermically reacting slab having parts of its surface insulated and the remainder offering no resistance to heat transter. For symmetrical heating, with insulating strips on upper and lower surfaces, the critical Frank-Kamenetskii parameter is found to be 6c(e) = 6e(0)(l --e --0.555e 3/2 + -..), where 8c(0) = 0.878 and E, assumed small, is the ratio of the insulation width to the slab thickness.

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