5 Distributed Activation Energy Modeling by the transmutation of different density functions

Abstract

This chapter incorporates the different perspective of modeling of activation energies through ingression of an additional parameter of distribution function to increase the flexibility and controlling ability of modeling by the linear mixing. The transmuted functions are adopted to bring flexibility in the numerical solution of multireaction models. A stochastic model is used to represent the activation energy function. Thus, the different activation energies can be represented by a density function to describe the pyrolysis process. The qualitative, as well as quantitative effects of the transmuted family of distribution on biomass pyrolysis, are carefully examined by the proposed mathematical solution. The nonlinear thermal history is implemented to demonstrate the approach.