Abstract

This study investigates chromium removal onto modified maghemite nanoparticles in batch experiments based on a central composite design. The effect of modified maghemite nanoparticles on the adsorptive removal of chromium was quantitatively elucidated by fitting the experimental data using artificial neural network (ANN) and adaptive neuro-fuzzy interference system (ANFIS) modeling approaches. The ANN and ANFIS models, relating the inputs, i.e., pH, adsorbent dose, and initial chromium concentration to the output, i.e., chromium removal efficiency (RE), were developed by comparing the predicted value with that of the experimental values. The RE of chromium ranged from 49.58% to 92.72% under the influence of varying pH (i.e., 2.6–9.4) and adsorbent dose, i.e., 0.8 g/L to 9.2 g/L. The developed ANN model fits the experimental data exceptionally well with correlation coefficients of 1.000 and 0.997 for training and testing, respectively. In addition, the Pearson’s Chi-square measure (χ2) of 0.0004 and 0.0673 for the ANN and ANFIS models, respectively, indicated the superiority of ANN over ANFIS. However, a small discrepancy in the predictability of the ANFIS model was observed owing to the fuzzy rule-based complexity and overtraining of data. Thus, the developed models can be used for the online prediction of RE onto synthesized maghemite nanoparticles with different sets of input parameters and it can also predict the operational errors in the system.

Highlights

  • A variety of industrial processes such as leather tanning, electroplating, pulp and paper, printing, and dyeing are known to release high concentration (i.e., >200 mg/L) of chromium (VI) into the water environment [1,2]

  • The sum of the absolute error (SAE) was found to be 0.5086 and 4.5955 for the artificial neural network (ANN) and adaptive neuro-fuzzy interference system (ANFIS) models, respectively. The other matrices such as Hybrid fractional error function (HYBRID) and Marquart’s percentage standard deviation (MPSD) were found to be higher for the ANFIS model (0.6121 and 78.2399, respectively) compared to these matrices for the ANN model (0.0036 and 6.0346, respectively)

  • This study focused on the application of two intelligent modeling approaches, viz. ANN and ANFIS for modeling chromium removal efficiency (RE) (%) adsorbed onto modified modified NPs (MNPs)

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Summary

Introduction

A variety of industrial processes such as leather tanning, electroplating, pulp and paper, printing, and dyeing are known to release high concentration (i.e., >200 mg/L) of chromium (VI) into the water environment [1,2]. Chromium in such quantities is well beyond the recommended effluent concentration levels recommended by national and various international regulatory agencies [3,4]. Biological removal of chromium is considered to be a sustainable approach, adsorption remains the effective, low energyintensive, cheaper incumbent for large-scale wastewater treatment [8,12]. A mathematical modeling-based optimization technique may be able to locate the optimal conditions (e.g., dosage and pH) required for improved adsorption efficiency, without the need for comprehensive experimental exploration of the operating conditions

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