The generalisation of a multi-reaction model for polynomial ramping of temperature

Abstract

This paper deals with the numerical solution of a multi-reaction model for the complex thermal history. The effect of thermal and kinetic parameters is investigated in this analytical study. The concept of moving maximum with time and the approximation of complex integral form of reactivity are introduced with the help of an advance integral methodology. The sigmoidal reactions of biomass pyrolysis are explained through the transmuted density function. Thermogravimetry of biomass sample is performed with the help of thermogravimetric analyser at different heating rates (5 °C min −1 , 10 °C min −1 and 15 °C min −1 ). The solutions of the integral form are obtained at different degrees of the nonlinear equation and to generalise the proposed methodology for the industrial application. The main objective of the paper is to identify the correlation of temperature history with the kinetics of biomass pyrolysis.

Application of Percolation Theory in Thermokinetics

“…where: E -activation energy A -pre-exponential factor R -ideal gas constant n -reaction order t -time X -remaining mass fraction of releasing volatiles f(E) -density function of activation energies, which is usually represented by the stochastic models Many stochastic models have been used to determine the relevant kinetic parameters, but the most reliable model is Rayleigh distribution and Gaussian distribution (Dhaundiyal and Tewari, 2017;Dhaundiyal and Singh, 2020;Dhaundiyal and Toth, 2020). The redundant distribution parameters cause over-fitting of model, which is difficult to interpret within the desirous range; therefore, the study is focussed on the simplest form of density function, i.e.…”