Mathematical Modelling of Hydrothermal Carbonization of Biomass Using MATLAB

This paper presents an original reaction kinetics model as a tool for estimating the carbon yield in hydrothermal carbonization (HTC) of biomass. The kinetics model was developed in MATLAB. The reaction pathways described through a model, in which biomass is converted into solid, liquid and gaseous products. Runge-Kutta method was used to solve the 4 equations derived from the reaction suggestion, through the estimation of 6 Arrhenius kinetics parameters (k₁, k₂, k₃, k₄, k₅, and k₆).  The HTC reaction pathway was described through a lumped model, in which biomass is converted into three phase, residual solid, liquid and gaseous products. By choosing the values of k₁ and others k values and modelling predictions are in the good of the figure pattern. The k values gave good pattern of figure 3 were k₁ = 0.3, k₂=0.1, k₃=0.3, k₄=0.1, k₅=0.2, and k₆=0.1. They resulted that the biomass conversion was very high about of 90%, carbon content of 39%, liquid content of 24, and gaseous content of 30%.

HTC, model, kinetics, figure pattern

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