Application of artificial neural networks and Langmuir and Freundlich isotherm models to the removal of textile dye using biosorbents: A comparative study among methodologies

Gustavo Petroli, Vitória Brocardo de Leon, Michele Di Domenico, Fernanda Batista de Souza, Claiton Zanini Brusamarello
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Abstract

Adsorption isotherms are valuable tools for describing the interaction between adsorbate and adsorbent since they demonstrate the equilibrium relationship. The Langmuir and Freundlich models are the most commonly used isotherm models to describe these relationships; still, they cannot consistently deliver efficient results due to the assumptions of the model not predicting more complex situations as occurs in biosorption. Artificial neural networks (ANN) are a set of algorithms modelled loosely after the human brain and are designed to recognize patterns. The ANN tool can overcome problems isotherm models have in describing the interactions mentioned and help define the best conditions for a given adsorption process. This paper reports the application of ANNs for predicting the removal efficiency of textile dye Neolan Black WA (Acid Black 52) using orange peel and sugarcane bagasse as biosorbents. The Freundlich, Langmuir, pseudo‐first‐order, and pseudo‐second‐order models were applied and compared to the ANN model. The parameters evaluated were initial dye concentration (10–600 mg/L), final dye concentration (0–83.44 mg/L), biosorbent mass (1.5 g), pH (2), and contact time of dye (0.167–24 h). Two classes of ANNs, Elman and feed‐forward networks, were tested with a mean square error of 0.0212 and 0.7274 for the isotherm and kinetics, respectively. Compared to the conventional isotherm and kinetic models, the Elman network predicted the amount adsorbed by the biosorbents with higher precision, acquiring a determination coefficient of 0.9998 and a mean square error of 8.75 × 10−5.

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将人工神经网络、Langmuir 和 Freundlich 等温线模型应用于利用生物吸附剂去除纺织染料:各种方法的比较研究
吸附等温线是描述吸附剂和吸附剂之间相互作用的重要工具,因为它们展示了平衡关系。朗缪尔模型和弗伦德里希模型是描述这些关系最常用的等温线模型;然而,由于模型的假设条件无法预测生物吸附中出现的更复杂情况,因此它们无法始终提供有效的结果。人工神经网络(ANN)是一套仿照人脑设计的算法,用于识别模式。人工神经网络工具可以克服等温线模型在描述上述相互作用时存在的问题,并帮助确定特定吸附过程的最佳条件。本文报告了应用 ANN 预测以橘皮和甘蔗渣为生物吸附剂的纺织染料 Neolan Black WA(酸性黑 52)的去除效率。应用了 Freundlich、Langmuir、伪一阶和伪二阶模型,并与 ANN 模型进行了比较。评估的参数包括初始染料浓度(10-600 毫克/升)、最终染料浓度(0-83.44 毫克/升)、生物吸附剂质量(1.5 克)、pH 值(2)和染料接触时间(0.167-24 小时)。测试了 Elman 和前馈网络两类 ANN,等温线和动力学的均方误差分别为 0.0212 和 0.7274。与传统的等温线和动力学模型相比,Elman 网络预测生物吸附剂吸附量的精度更高,其确定系数为 0.9998,均方误差为 8.75 × 10-5。
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