Thermal Transients Resulting From Instantaneous Heat Sources in a Solid with Temperature Dependent Thermal Properties

摘要

The non-linear differential equation for heat conduction in a medium having temperature dependent thermal conduc¬tivity and heat capacity is solved numerically for an experiment¬ally important case. This case is the liberation of heat by an instantaneous plane source in an infinite, linear solid whose thermal parameters are assumed to have the temperature dependence of real alloys at oryostatic temperatures. It is found that the temperature transients for this case do not differ substantially from those of a solid having temperature independent thermal par¬ameters, if the heat source does not exceed a certain strength whose value is derived. This result provides the basis for easier quantitative calorimetry of instantaneous heat sources activated by discontinuous plastic flow in alloys at helium temp¬eratures.