Comparative Evaluation of Crisp and Fuzzy Schemes to Solve Chemical Kinetic Models

Abstract

This study investigates the application of the crisp and the fuzzy schemes to evaluate the kinetic parameters of thermal decomposition of biomass. A distributed reactivity model is considered for the demonstration of mathematical methods for pyrolysis of biomass. The numerical solution is assessed on the assumption that it follows Laplace's method for asymptotic evaluation of integral. A parabolic regime of temperature is subjected to examination by the thermal analysis. The relevant parameters and variables related to biomass and distribution function are assessed on the basis of crisp and fuzzy perspectives. A distributed reactivity method relies on the modelling of pyrolysis reactions where an overlapping of parallel reactions leads to reactivity distribution, which can be symbolised by any distribution functions. Therefore, the normal distribution pattern is assumed to be involved in the given problem of pyrolysis. The temperature regime is supposed to follow the equation of parabola, T=at^2+c.