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On upward flame spread on thick fuels

Thomas, Philip and Karlsson, Björn (1990) In LUTVDG/TVBB--3058--SE
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.
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type
Book/Report
publication status
published
subject
in
LUTVDG/TVBB--3058--SE
pages
22 pages
publisher
Department of Fire Safety Engineering and Systems Safety, Lund University
report number
3058
ISSN
0284-933X
language
English
LU publication?
no
id
20935da4-8a6c-4b47-96bc-b73987ddbf64 (old id 1267749)
date added to LUP
2016-04-01 16:09:15
date last changed
2018-11-21 20:39:10
@techreport{20935da4-8a6c-4b47-96bc-b73987ddbf64,
  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       = {{Thomas, Philip and Karlsson, Björn}},
  institution  = {{Department of Fire Safety Engineering and Systems Safety, Lund University}},
  issn         = {{0284-933X}},
  language     = {{eng}},
  number       = {{3058}},
  series       = {{LUTVDG/TVBB--3058--SE}},
  title        = {{On upward flame spread on thick fuels}},
  url          = {{https://lup.lub.lu.se/search/files/4585546/4451536.pdf}},
  year         = {{1990}},
}