HEAT-TRANSFER OF A SMOLDERING FLAMMABLE SUBSTRATE - PART-2 - A THEORETICAL-MODEL AND ITS APPLICATION

This paper is the second part of two describing the development of a t heoretical model for the heat transfer of a flammable substrate. The m athematical model presented in Part 1 of this series of papers is the first known successful attempt to describe the interaction between a c igarette and a substrate analytically. The calculated distribution pro file of temperature approximates the experimental results measured usi ng thermocouples. Then, the predicted temperature distribution in the substrate was fit to the corresponding measured values with a nonlinea r, least-squares fitting routine to obtain a net heat flux from the mo ving heat source to the substrate. The average of heat flux from the b urning cigarette to the substrate through the window is approximately 1.56 +/- 0.01 cal/(s cm(2)).