On upward flame spread on thick fuels
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1267749
- author
- Thomas, Philip and Karlsson, Björn
- publishing date
- 1990
- 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}}, }