@article{ref1,
title="Heat flow to insulated steel",
journal="Fire safety journal",
year="1987",
author="Melinek, SJ and Thomas, P. H.",
volume="12",
number="1",
pages="1-8",
abstract="Heat transfer to insulated steel can be calculated from the approximate numerical equation d[theta]s/dt = A([theta]g-[theta]s)-B d[theta]g/dt where [theta]s is the steel temperature and [theta]g is the gas temperature. A limiting form of the La Laplace transform of the exact equation is used to derive optimum values for A and B. Some steel temperatures calculated from the numerical equation are compared with the exact solution for a particular variation of [theta]s with time. The Laplace transform is also used to estimate a time constant for heat transfer to the steel and an effective delay time. The results agree well with calculations by Wickstrom and confirm formally his suggested &quot;best&quot; values for these two parameters.<p />",
language="",
issn="0379-7112",
doi="",
url="http://dx.doi.org/"
}