Mathematical modelling

Sequential extraction of lutein and β‐carotene from wet microalgal biomass

BACKGROUND: Microalgae are a promising resource to produce carotenoids for food/feed applications. However, energy-intensive pre-treatments such as drying and cell destruction can hinder the sustainability of the process. Direct extraction from wet biomass may reduce energy consumption, but the residual water can reduce the effectiveness of the organic solvents used for the extraction. In this work, the extraction of lutein and β-carotene from wet untreated microalgal biomass is investigated. The process includes a sequence of successive extraction stages with methanol.

Comparison between 1-D and grey-box models of a SOFC

Solid Oxide Fuel Cells (SOFCs) have shown unique performance in terms of greater electrical efficiency and thermochemical integrity with the power systems compared to gas turbines and internal combustion engines. Nonetheless, simple and reliable models still must be defined. In this paper, a comparison between a grey-box model and a 1-D model of a SOFC is performed to understand the impact of the heat transfer inside the cell on the internal temperature distribution of the solid electrolyte.

Dynamic response of a tank containing liquefied gas under pressure exposed to a fire: a simplified model

A simplified mathematical model representing the dynamic response of a tank containing a pressurized liquefied gas exposed to an external heat source, is presented. This scenario is of great practical interest in the process industry because it can result in the catastrophic failure of the tank with the explosive vaporization of the stored material (Boiling-Liquid Expanding-Vapour Explosion, BLEVE).

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