Open AccessModeling Fire Spread in a Real-Time Coupled Atmospheric-Vegetation Fire: An Analytical Approach
Author(s) -
A.B. Zhiri,
RO Olayiwola,
DW Yavalah,
CE Ode,
HO Adebayo
Publication year - 2021
Publication title -
nigerian journals of pure and applied sciences (benue online)
Language(s) - English
Resource type - Journals
ISSN - 2705-3997
DOI - 10.46912/napas.234
Subject(s) - péclet number , environmental science , meteorology , vegetation (pathology) , eigenfunction , transient (computer programming) , atmospheric sciences , energy (signal processing) , mechanics , mathematics , computer science , statistics , physics , medicine , eigenvalues and eigenvectors , pathology , quantum mechanics , operating system
The ability to analyse the rate of fire spread outbreak in a real-time coupled Atmospheric-vegetation fire has become increasingly vital as forest fire fighters are building diverse kinds of models to combat the dangers/effects of fire spread across a given fire vicinity. This paper theoretically examines the analysis of fire spread in a real fire environment. A partial differential equations (PDE) governing the phenomenon is presented. The analytical solution of the model is obtained via direct integration and eigenfunction expansion technique, which displays the influence of the parameters involved in the system. The effect of change in parameters such as Frank-Kamenetskii number, Radiation number, Peclet energy number and Activation energy number are presented graphically and discussed. The results obtained show that Frank-Kamenetskii number, Radiation number, Peclet energy number, and Activation energy number all reduced transient state temperature.