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Critical Analysis of the Use of Semiempirical Models on the Dehydration of Thin-Layer Foods Based on Two Study Cases

Oscar Vega‐Castro, J. Osorio-Arias, Yudy Duarte‐Correa, A. Jaques, Cristián Ramírez, Helena Núñez, Ricardo Simpson

2023Arabian Journal for Science and Engineering11 citationsDOIOpen Access PDF

Abstract

Abstract Moisture transport during food drying can be phenomenologically described by Fick’s second law and by the so-called anomalous diffusion model. However, in the literature, many studies have shown the extensive use of empirical/semiempirical models (EMs/SEMs) to adjust experimental data for the drying of thin-layer foods. This research aims to perform a critical analysis of the most commonly used EMs/SEMs and compare them with Fick’s second law and an anomalous diffusion model using two different sets of hot-air drying data. Two waste byproducts from the food industry, spent coffee grounds and passion fruit peels, were selected for analysis. The selected EMs/SEMs were found to be mathematically interrelated (i.e., some are a subset of others), and their appropriateness was incorrectly justified mainly by their statistical goodness-of-fit. As shown, it is highly recommended that researchers start analyzing drying data with phenomenological models. The extensive use of EMs and SEMs can be replaced by the anomalous diffusion model, which has a high capacity to adjust empirical data and a sound phenomenological description of the process.

Topics & Concepts

Goodness of fitDiffusionPhenomenological modelThermodynamicsExperimental dataStatistical physicsEmpirical modellingComputer scienceChemistryMaterials scienceEconometricsStatisticsMathematicsPhysicsSimulationFood Drying and ModelingFreezing and Crystallization ProcessesMicroencapsulation and Drying Processes
Critical Analysis of the Use of Semiempirical Models on the Dehydration of Thin-Layer Foods Based on Two Study Cases | Litcius