@book{20935da48a6c4b4796bcb73987ddbf64,
title = "On upward flame spread on thick fuels",
abstract = "Saito, Quintiere and Williams (1) developed an integral equation derived from quasi-steady thermal flame spread theory to describe spread up a thick solid. Allowance was made in this purely thermal model for a varying rate of pyrolysis and the relationship between flame length and burning rate was linearised. They discussed asymptotic solutions to their equation and derived the requirements for two-dimensional propagation both for a step function pyrolysis rate m{"} = constant up to a burnout time and an inverse square root variation. Here their integral equation is solved analytically by Laplace Transform and is also applied to pyrolysis which decreases exponentially with time.",
author = "Philip Thomas and Bj{\"o}rn Karlsson",
year = "1990",
language = "English",
volume = "3058",
series = "LUTVDG/TVBB--3058--SE",
publisher = "Department of Fire Safety Engineering and Systems Safety, Lund University",
}