Mathematical modeling of multi-region premixed combustion of moist bamboo particles

Abstract

In this study, a mathematical modeling using asymptotic solution method was performed to a multi-region premixed combustion of moist moso bamboo particles under adiabatic condition. The analytical model assumes and divides the modeling system into multi-regions as preheating, drying, pyrolysis, and homogeneous and heterogeneous reactions. The formulated mass and energy conservation equations were written for each region and solved analytically using specified jump and boundary conditions. The experimental validation using temperatures of homogeneous flame and heterogeneous reaction fronts confirmed that the prediction accuracy is promising. Then, combustion characteristics such as distributions of temperature and species mass fractions were clarified. Influences of particle diameter, gaseous fuel Lewis number, and equivalence ratio were finally explored on crucial quantities such as homogeneous flame temperature and heterogeneous reaction temperatures, burning velocity, and pyrolysis front location. The results showed that increasing bamboo particle diameter leads to lower burning velocity, lower flame temperatures, and prolonged reaction fronts. Fuel Lewis number showed similar trends for burning velocity and flame and reaction temperatures as those of particle diameter, while opposite conclusions were found for reaction front locations. The impacts of equivalence ratio are opposite for burning velocity, flame temperature, and reaction front locations as those of particle diameter. • Multi-region premixed combustion of moist moso bamboo is mathematically modeled. • Preheating, drying, pyrolysis, combustion reactions are considered in the model. • Mass and energy equations are analytically solved using jump conditions. • Temperatures and places of homogeneous and heterogeneous flames are obtained. • Effects of key parameters on combustion characteristics of the system are evaluated.