Landau's analysisfor the thermal stability of an injinite plane slab is re-solved with four commonly encountered boundary conditions other than a constant temperature on the slab surfaces. Consistent with Landau'sjndings, critical parameters are identijied for the slab with each of the chosen modes
Thermal stability of landau slabs with constant and unequal boundary temperatures
β Scribed by C.K. Liu
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 353 KB
- Volume
- 325
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
Landau's thermal stability problem for a plane slab is resolved. Following three different paths of solution three critical solutions emerge; only one of the three agrees with Landau's 1959jnding.
The present study with unequal boundary temperatures is cast along the proven path of analysis, yielding a fourth degree critical equation. Guided by Landau's finding, one of the critical roots is recognized as the right one to yield the right stability parameter for the slab.
π SIMILAR VOLUMES
The analysis of thermal stability ofhollou spheres with internal heat generation is rendered mathematically~feasihle by ullowiny the thermal conductivity of the sphere material to uary incersely as the,fourth power q/the radius. Subjected to.fioe combinations of houndarl conditions, a hollow sphere