Thermal explosions, criticality and transition in systems with variable heat-transfer coefficient. Uniform temperatures (semenov case)

Abstract

Although it is common to neglect the temperature dependence of thermal conductivity and of heat-transfer coefficients in thermal explosion theory, there are certain circumstances where this is not appropriate. This paper examines how criticality and transition are affected in the uniform-temperature case when conventional heat-transfer coefficient χ depends on temperature. The types of dependence examined are chosen partly for their intrinsic importance and partly to highlight similarities and differences between uniform- and distributed-temperature fields.