Clayton Copula as an Alternative Perspective of Multi-Reaction Model

This study proposes to assess the effect of some relevant parameters of biomass pyrolysis on the numerical solutions of n^thorder distributed activation energy model (DAEM) or multi reaction model (MRM). The two-step process mechanisms of pyrolysis is described by replacing the initial distribution function of f (E) with the Clayton copula. The upper limit (E_∞) of ‘dE’ integral, activation energy (A), heating rate (m), and the shape and scale parameters of bivariate distribution function. Temperature ramp rate is assumed to vary linearly with time. Thermo-analytical data is obtained with the help of thermogravimetric (TG) analysis. Asymptotic technique is adopted to approximate double exponential and bivariate distribution function f (E₁, E₂), where E₁and E₂are the activation energies for bivariate scheme.