volume 122, issue 1, P33-39 1999
DOI: 10.1115/1.521434
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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 mag…

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