Abstract

Nonlinear response is studied using similarity groups. The nonlinear solution is similar to the linear solution except with properties evaluated at the local temperature and is consistent with reported empirical observations that, near the heat source, high-temperature properties are needed to predict cooling times to high temperatures and that low temperature properties are needed to predict cooling time to low temperatures. For position-dependent characteristics of the solution away from the source, like magnitudes and locations of peak temperatures, nonlinear and linear solutions are similar if local properties are evaluated at current temperatures prevailing near the source. [S0022-1481(00)02701-8]

Issue Section:
Conduction Heat Transfer
Keywords:
heat conduction, thermal properties, heat transfer
Topics:
Cooling, Geometry, Heat, Temperature, Thermal conductivity, Thermal properties, Heat capacity, Heat conduction, Transient heat transfer
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