Application of inverse methodology to estimate unknown parameters of the mathematical model of biomass solar pyrolysis. (January 2021)

• Record Type: Journal Article
• Authors: Kaczor, Zuzanna; Buliński, Zbigniew; Sobek, Szymon; Werle, Sebastian
• Is Part Of: Renewable energy. Volume 163(2021)
• Page Start: 858
• Page End: 869
• Publication Date: 2021-01
• Subjects: Inverse problem -- Levenberg-marquardt algorithm -- Metropolis-hastings algorithm -- Biomass pyrolysis -- CFD modelling; Renewable energy sources -- Periodicals; Power resources -- Periodicals; Énergies renouvelables -- Périodiques; Ressources énergétiques -- Périodiques; 333.794
• DOI: 10.1016/j.renene.2020.09.018
• Languages: English
• ISSNs: 0960-1481

Abstract

Abstract: The goal of the work is to determine unknown parameters of reactor heating in the process of biomass solar pyrolysis. The lab-scale reactor is heated by a xenon lamp, but the fraction of heat absorbed by the reactor is unknown, as well as the heat transfer coefficient from the reactor walls to the nitrogen flowing through internal reactor channels, and the overall heat transfer coefficient through the external reactor walls to the surroundings. The missing parameters are impossible to measure, therefore they need to be determined by solving the inverse problem. As the problem is strongly ill-conditioned, since the quantities are directly dependent on each other, two different inverse algorithms were used to retrieve them, namely, the Levenberg-Marquardt method and the Metropolis-Hastings method. The effectiveness of both approaches was assessed and then they were applied to the real data. The inverse problem was implemented in the MatLab software, while validation of the mathematical model and optimisation procedure was carried out with a CFD model built in Ansys Fluent 19.2. Calculations showed that 14.4% of the lamp power penetrates inside the reactor and heat transfer coefficients to the flowing nitrogen equal 8.74 W/m 2 K and 0.965 W/m 2 K to the surroundings. Highlights: Two inverse algorithms were used: Levenberg-Marquardt and Metropolis-Hastings. The validation was carried out with a 3D CFD model. Calculations showed that only 14.4% of the lamp power penetrates inside the reactor.