Abstract
The capacity of firebrands for ignition is closely related to fuel conditions which include fuel type, moisture content (MC), fuel distribution and fuel bulk density, among which MC is the most important. In this paper, a new correlation between ignition time (t ig) and MC of fuels is established by theoretical consideration of the heat transfer processes that occur when fuels are ignited by glowing firebrands that have settled on a fuel bed. The results suggest a linear relationship between t 1/2ig and MC. This linear correlation is verified by data from six groups of firebrand ignition experiments in which pine needles were used as the fuel to be ignited, with MCs ranging from 12.9% to 65%. The wind speed during experimentation was maintained at 3 m/s (±0.2 m/s). The studies by Jolly et al. support the theoretical correlation.
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Abbreviations
- A :
-
Bottom surface of firebrand
- A loss :
-
Surface of firebrand that is exposed to air
- C w :
-
Specific heat of water
- C p :
-
Specific heat of dry pine needles
- h c :
-
Heat convection coefficient
- h r :
-
Heat radiation coefficient
- h T :
-
Equivalent coefficient of heat loss
- ΔH c :
-
Combustion heat of glowing firebrand
- k :
-
Heat conduction coefficient
- L w :
-
Latent heat of water vaporization
- m :
-
Mass of fuels involved in ignition
- m 0 :
-
Initial mass of firebrand
- Δm :
-
Mass loss of firebrand
- m′:
-
Mean mass loss rate of firebrand
- M :
-
Moisture content of pine needles
- M dry :
-
Mass of samples after oven drying
- M wet :
-
Mass of samples before oven drying
- q :
-
Heat required for ignition of moist fuel (dry mass basis)
- q s :
-
Heat required for ignition of unit mass of dry pine needles
- q w :
-
Heat required for water evaporation of unit mass of dry pine needles
- \( q_{\text{loss}}^{\prime \prime } \) :
-
Heat flow density of heat loss
- Q comb :
-
Heat released by firebrand combustion
- Q ig :
-
The total heat required for ignition
- Q loss :
-
Heat loss of firebrand
- Q trans :
-
Heat transfer from firebrand to fuels
- t :
-
Time
- t b :
-
Time to complete consumption of firebrand
- t ig :
-
Ignition time
- T 0 :
-
Ambient temperature
- T f :
-
Firebrand temperature
- T ig :
-
Ignition temperature of pine needle
- V f :
-
Initial volume of firebrand
- Z :
-
Height of firebrand
- α :
-
Heat diffusivity coefficient of material
- δ :
-
Characteristic dimension of material
- ε :
-
Emissivity
- ρ :
-
Density of pine needle
- ρ f :
-
Initial density of firebrand
- σ :
-
Stefan–Boltzman constant
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Acknowledgments
This work was sponsored by the National Natural Science Foundation of China under Grant 51120165001 and 51076148, and National Key Technology R&D Program under Grant 2011BAK07B01-02. Naian Liu was supported by National Basic Research Program of China (973 Program, NO. 2012CB719702) and the Fundamental Research Funds for the Central Universities (No. WK2320000014). Yanlong Shan was supported by National Natural Science Foundation of China (No. 30900189), and Project of Jilin Province Ministry of Education (2009-402).
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Yin, P., Liu, N., Chen, H. et al. New Correlation Between Ignition Time and Moisture Content for Pine Needles Attacked by Firebrands. Fire Technol 50, 79–91 (2014). https://doi.org/10.1007/s10694-012-0272-y
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DOI: https://doi.org/10.1007/s10694-012-0272-y