Thermal stability of solid and hollow squire cylinders (Q1067876)

Squire's study of thermal stability of a solid infinite cylinder with temperature-sensitive internal heat generation is extended to a hollow infinite cylinder, subject to combinations of four commonly encountered boundary conditions. The results of these analyses indicate that the critical parameter for thermal viability is critically dependent on the cylinder size, the convective heat transfer coefficient and other constants accrued from the cylinder environment. In certain situations, such as a frigid climate, a hollow Squire cylinder is thermally viable only if it is thicker than a critical thickness.