MODELLING FIRE SPREAD REACTION RATE IN ATMOSPHERIC-WEATHER CONDITION

  • A.B. Zhiri Department of Mathematics, Federal University of Technology, Minna,
  • R.O. Olayiwola Department of Mathematics, Federal University of Technology, Minna,
  • S.A. Somma Department of Mathematics, Federal University of Technology, Minna,
  • F.A. Oguntolu Department of Mathematics, Federal University of Technology, Minna,

Abstract

Fire spread in any fire environment is a thing of great concern as wind is arguably the most important weather factor that influences the spread of fire. In this paper, we present equations governing the phenomenon and assume the fire depends on the space variable .  Analytical solution is obtained via perturbation method, direct integration and eigenfunction expansion technique, which depicts the influence of parameters involved in the system. The effect of change in parameters such as Peclet mass number and Equilibrium wind velocity are presented graphically and discussed. The results obtained revealed that both Peclet mass number and Equilibrium wind velocity enhanced oxygen concentration during fire spread.

Published
2021-06-30
Section
ARTICLES