Theoretical analysis of aerobic degradation of vinasses with Pencillium decumbens

Abstract

The mathematical modeling of aerobic degradation of vinasses with pencillium decumbens is discussed. This model contains the system of non-linear differential equation which describe the biodegradation process assuming that a fraction of the organic content of vinasses is non-biodegradable. In this paper, three non-linear differential equations in aerobic degradation processes have been solved using new approach homotopy perturbation method. The proposed analytical expression of concentration of substrate,  production of biomass and oxygen for all experimental values of parameters were validated by comparing the theoretical curves obtained with the corresponding experimental data. The biomass solids is converted into liquid or gaseous of biofuels by heat energy and chemical catalysts. In gasification, biomass is heated in an oxygen-starved environment to produce a gas composed primarily of hydrogen and carbon monoxide.