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### Mathematical and Numerical Modeling of Energy Recovery of Sunflower Waste

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DOI: https://doi.org/10.15866/irea.v7i5.17707

#### Abstract

With the global warming and its negative effects on the future of the ecosystem, the terms waste management and environmental protection have become major concerns around the world over the past two decades. Reflection on renewable energies and the preservation of the environment have become unavoidable issues in any environmental policy. For this reason, authors are working on biogas technology, technology based on the degradation of organic matter by microorganisms under controlled conditions and in the absence of oxygen. This research is based on the numerical modeling of the energetic valorization of litter of sunflower. This study will be approached by a mathematical model, based on the equation of energy, the equation of conservation of the mass and the empirical equations of Van- Genuchten. The bioreactor is considered as a porous reactive medium, the nature of the waste is sunflower, the medium is porous with constant porosity, the use of the laws of capillary pressure and permeability, the gas is perfect, the fluids (gas, liquids) are Newtonian modeled by the law of Arrhenius, the liquids are immiscible and incompressible, the flow is laminar and described by the law of Darcy generalized. The finite volume method and the Gauss-Seidel method are exploited for the numerical resolution of equations. This model can also be used to simulate simultaneously the biological and the hydraulic behavior of bioreactors and contribute to a better understanding of the processes that take place during stabilization time and during leachate recirculation for sunflower waste.

#### Keywords

Methanization; Degradation; Sunflower Waste; Mathematical Model; Bioreactor; Finite Volume Method

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