2021
DOI: 10.1108/ec-06-2021-0323
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Use of empirical and diffusion models in the description of the process of water absorption by rice

Abstract: PurposeTo describe water absorption by the rice grains over time, diffusion and empirical models were used. Also, an optimization software was developed in this study to determine parameters and their uncertainties for the diffusion models (LS Optimizer, for partial differential equations). Parameters (and their uncertainties) for empirical models were determined by LAB Fit Curve Fitting Software.Design/methodology/approachHeat and mass diffusion phenomena are found in various processes of technological intere… Show more

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Cited by 5 publications
(4 citation statements)
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“…In the present study, this convergence criterion consisted of |Δ α/α | ≤ 1 × 10 −5 and |Δ h/h | ≤ 1 × 10 −5 . A detailed study on the mathematical foundations of LS Optimizer Software was presented by Pereira et al (2022) and da Silva et al (2022), using regression concepts applied to a parameter correction function.…”
Section: Methodsmentioning
confidence: 99%
“…In the present study, this convergence criterion consisted of |Δ α/α | ≤ 1 × 10 −5 and |Δ h/h | ≤ 1 × 10 −5 . A detailed study on the mathematical foundations of LS Optimizer Software was presented by Pereira et al (2022) and da Silva et al (2022), using regression concepts applied to a parameter correction function.…”
Section: Methodsmentioning
confidence: 99%
“…The amount of starch content was determined via the enzymatic hydrolysis method [26]. The milled rice grain flour was transferred to a beaker after removing fat and soluble sugar using petroleum ether and 85% ethanol (Sinopharm Chemical Reagent Co., Ltd., Shanghai, China), respectively, and the filter paper was washed with 50 mL of water.…”
Section: Starch Content Detectionmentioning
confidence: 99%
“…In the last equations, T exp i are the experimental values of the temperature and T sim i a 1 = a 10 a 2 = a 20 are simulated values obtained by the developed solver by substituting a 1 and a 2 by a 10 and a 20 , respectively. For more details on the mathematical foundations of LS Optimizer software, the studies conducted by Pereira et al [57] and Silva et al [43] can be consulted. As additional information, when the relative tolerance on the two parameters is reached in the iterative process, the inverse of Equation ( 15) is the covariance matrix.…”
Section: Inverse Problem: Simultaneous Determination Of Optimal Value...mentioning
confidence: 99%