ISSN Online: 2377-424X
International Heat Transfer Conference 4
HEAT CONDUCTION IN ONE-DIMENSIONAL GEOMETRIES WITH NONUNIFORM INTERNAL HEAT GENERATION
Résumé
A comparison is made between maximum temperatures in cases of uniform or nonuniform internal heat generation for the same total heat production, in slabs, cylinders or spheres. The ratio between the relative difference in maximum temperatures (in the nonuniform and uniform cases)
and a (dimensionless) measure of the nonuniformity in heat generation is shown to vary between narrow bounds which depend only upon the geometric configuration. When the distribution of heat generation is better known, the
bounds on this (variational) ratio get closer together. Similar results obtain with cylindrical and spherical shells, for maximum or average temperature
and with several boundary conditions.