Abstract

The goal of this work was to fit several mathematical models to the experimental data from the drying of sorghum (Sorghum bicolor [L.] Moench) grains of the AS4620 cultivar, to determine and evaluate the effective diffusion coefficient, to obtain the activation energy and to determine the thermodynamic properties of the drying process at different temperatures and air speeds. The initial moisture content of 0.228 ± 0.003 on a dry basis (d.b., decimal), were subjected to drying in an experimental dryer where the drying air speed was kept at either 0.5 or 1.0 m s-1, and for each speed, the system was set to heat at 40, 50 and 60°C until the moisture contents reached 0.137 ± 0.004 (d.b.). The Page model was selected to represent the drying phenomenon. The effective diffusion coefficient of the sorghum grains increased as temperature and air speed increased, and the pattern can be described by the Arrhenius equation, which provides activation energy values for liquid diffusion in the sorghum drying process of 27.12 and 42.05 kJ mol-1 for air speeds of 0.5 and 1.0 m s-1, respectively. When the drying temperature is increased, enthalpy and entropy decrease, whereas Gibbs free energy increases.   Key words: Mathematical modeling, activation energy, enthalpy, entropy, Gibbs free energy, Sorghum bicolor [L.] Moench, drying.

Highlights

  • Sorghum (Sorghum bicolor [L.] Moench) is a plant of African origin and is one of the main crops in the world's current agricultural scenario

  • The effective diffusion coefficient of the sorghum grains increased as temperature and air speed increased, and the pattern can be described by the Arrhenius equation, which provides activation energy values for liquid diffusion in the sorghum drying process of

  • Because of the scarcity of studies in the literature that provide information on changes in sorghum moisture contents during drying, this work aimed to study the mathematical modeling of sorghum grains of the AS4620 cultivar and to obtain the diffusion coefficient, activation energy, enthalpy, entropy and Gibbs free energy under several temperatures and air speed conditions

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Summary

Introduction

Sorghum (Sorghum bicolor [L.] Moench) is a plant of African origin and is one of the main crops in the world's current agricultural scenario. Sorghum is the fifth most cultivated cereal in the world, only behind wheat, rice, corn and barley (EMBRAPA, 2011). Sorghum reaches physiological maturity with high moisture contents, in the 25 to 35% range, which can lead to product damage at the moment of drying. This challenge calls for studies of methods that prevent such damage to the grain (Vanderlip and Reeves, 1972).

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