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On modelling of surface tension of CMC-α-Fe2O3 nanoparticles by fuzzy-hybrid approach: A comparison study |
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| Authors: | Hale Gonce Kocken Mert Akin Insel Gizem Temelcan Selcan Karaku? Inci Albayrak |
| Affiliation: | 1. Faculty of Chemical-Metallurgical Engineering, Department of Mathematical Engineering, Y?ld?z Technical University, Istanbul, Turkey
Contribution: Conceptualization, Formal analysis, ?Investigation, Methodology, Supervision, Validation, Writing - original draft, Writing - review & editing;2. Faculty of Chemical-Metallurgical Engineering, Department of Chemical Engineering, Y?ld?z Technical University, Istanbul, Turkey;3. Faculty of Engineering and Architecture, Department of Computer Engineering, Beykoz University, Istanbul, Turkey Contribution: Conceptualization, Formal analysis, ?Investigation, Methodology, Validation, Writing - original draft, Writing - review & editing;4. Faculty of Engineering, Department of Chemistry, Istanbul University-Cerrahpasa, Istanbul, Turkey Contribution: Conceptualization, ?Investigation, Methodology, Supervision, Validation, Writing - original draft, Writing - review & editing;5. Faculty of Chemical-Metallurgical Engineering, Department of Mathematical Engineering, Y?ld?z Technical University, Istanbul, Turkey Contribution: Conceptualization, Formal analysis, Methodology, Supervision, Validation, Writing - original draft, Writing - review & editing |
| Abstract: | Surface tension is one of the most important rheological parameters of nanoliquids. It influences the thermophysical and mass transfer properties of nanostructures. Accurate estimation of the surface tension from operating variables is critical for determining optimal production processes. However, the challenges of producing nanoparticles and measuring their properties introduce experimental errors in the data used for mathematical modelling. Crisp regression approaches provide adequate representation of the data, but they do not provide information about the experimental uncertainty. In this study, a fuzzy-hybrid approach is proposed for mathematical modelling of surface tension of carboxymethyl cellulose/chitosan-α-Fe2O3 nanoparticles. Then, the proposed model is compared with a crisp model from a previous study. Error analysis is conducted to validate the constructed fuzzy model. It is observed that the fuzzy-hybrid modelling approach has yielded significantly lower error values (a 60%–90% improvement in all error metrics on average), and thus, it is superior to the crisp approach. This study contributes to the subject of modelling rheological properties. It is shown that the fuzzy-hybrid approach has impressive potential to be utilized for modelling the rheological properties of nanostructures. |
| Keywords: | fuzzy regression mathematical modelling nanomaterials surface tension |