A Semi‐Empirical Model for Mass Transfer in Carbohydrate Polymers: A Case of Native Cassava Starch Hydration Kinetic in Hot Water Media

Matias, Gustavo de Souza; Lermen, Fernando Henrique; Gonçalves, Karoline Yoshiko; Jorge, Luíz Mário de Matos; Ribeiro, José Luís Duarte; Coelho, Tânia Maria

doi:10.1002/star.201900308

Cited by 3 publications

(2 citation statements)

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“…W ITHIN the last decades, there is a significantly rising attention being paid to fractional-order (FO) calculus due to its promising utilization in various research areas such as economy and finance [1] - [3], medical and health science [4] - [6], agriculture and food processing [7] - [10], automotive [11] - [13], and also in electrical engineering [14] - [43] to design, describe, model and/or control various systems and function blocks. Basically, the presence of fractional order (α) represents another degree of freedom to mathematically describe the behavior of a function block.…”

Section: Introductionmentioning

confidence: 99%

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Pseudo-Differential (2 + α)-Order Butterworth Frequency Filter

et al. 2021

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This paper describes the design of analog pseudo-differential fractional frequency filter with the order of (2 + α), where 0 < α < 1. The filter operates in a mixed-transadmittance mode (voltage input, current output) and provides a low-pass frequency response according to Butterworth approximation. General formulas to determine the required transfer function coefficients for desired value of fractional order α are also introduced. The designed filter provides the beneficial features of fully-differential solutions but with a less complex circuit topology. It is canonical, i.e. employs minimum number of passive elements, whereas all are grounded, and current conveyors as active elements. The proposed structure offers high input impedance, high output impedance, and high common-mode rejection ratio. By simple modification, voltage response can also be obtained. The performance of the proposed frequency filter is verified both by simulations and experimental measurements proving the validity of theory and the advantageous features of the filter.

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Section: Introductionmentioning

confidence: 99%

“…FIGURE 2.Relative error between coefficients k1, k2, k3, and k4 found using the MATLAB fminsearch function and determined by(10).…”

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Pseudo-Differential (2 + α)-Order Butterworth Frequency Filter

et al. 2021

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The Characteristics and Industrial Applications of Natural and Hydrophobic Modified Starch

et al. 2022

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This study presents a product based on natural cassava starch with hydrophobic characteristics, which has been developed to replace the natural starch used in different industries. The natural and hydrophobic starch results describe their characteristics, validate the hydrophobicity through mathematical modeling, and present case studies from the paper and fruit processing industries that will be compared. The hydrophobicity and low viscosity of the modified Starch studied in this paper result from the reaction between hydrophobic radicals and the starch chain obtained from applying alkyl ketene dimer. A test for viscosity versus pH is also used to compare results for natural and modified starch, a kinetic model for water absorption is fitted to the hydration of samples of natural and modified starch, and the ability of a biofilm of modified starch to preserve fruit is also assessed. The degree of preservation of the fruit could be seen in the pictures that show that the fruit covered in the modified starch film has fewer alterations to its appearance after 64 days of observation. Moreover, the hydrophobic starch demonstrates superior results from the quality assessment when applied practically with paper and fruit, demonstrating their industrial potential.

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Anomalous Diffusion Mechanism for Water in Native and Hydrophobically Modified Starch Using Fractional Calculus

Matias,

Aranha,

Lermen

et al. 2024

Starch Stärke

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Fractional calculus is a method to predict processes mathematically. This study uses fractional order models to determine whether starch hydration is governed by Fickian or anomalous diffusion. Native and modified starches are compared and classified based on their diffusive characteristics and the type of diffusion observed. The study aims to adjust the equation of the analytical solution of the diffusion model to study the hydration of both native and modified starches. The fractional order diffusion model is generalized to compare the two models and identify whether anomalous mechanisms exist in native and modified starches. The results show that water absorption by native and modified starch granules is characterized by anomalous diffusion. This is due to the temperature conditions and differences in the chemical potential of the starches. It is verified that the diffusive characteristics of native and modified starches differ under the same hydration conditions.

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A Semi‐Empirical Model for Mass Transfer in Carbohydrate Polymers: A Case of Native Cassava Starch Hydration Kinetic in Hot Water Media

Cited by 3 publications

References 25 publications

Pseudo-Differential (2 + α)-Order Butterworth Frequency Filter

Pseudo-Differential (2 + α)-Order Butterworth Frequency Filter

The Characteristics and Industrial Applications of Natural and Hydrophobic Modified Starch

Anomalous Diffusion Mechanism for Water in Native and Hydrophobically Modified Starch Using Fractional Calculus

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