ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2020
Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Sodium Alginate-Based Submucosal Lifting Hydrogel for Endoscopic Mucosal Resection and Endoscopic Submucosal Dissection.Advanced healthcare materials · 2026Article
- Pharmacokinetic modelling during long-term anesthesia: minimizing the gap.Journal of advanced research · 2026Article
- Forecasting occupational accidents in Turkey using multivariate ARMAX and NLARX models.Scientific reports · 2026Article
- Formulation, E-Beam Crosslinking, and Comprehensive Characterisation of Lavender Oil-Enriched Hydrogels.Polymers · 2024Article
- Development, Validation, and Comparison of a Novel Nociception/Anti-Nociception Monitor against Two Commercial Monitors in General Anesthesia.Sensors (Basel, Switzerland) · 2024Article
- Development and Evaluation of Two-Phase Gel Formulations for Enhanced Delivery of Active Ingredients: Sodium Diclofenac and Camphor.Pharmaceutics · 2024Article
- Numerical modeling of a MHD non-linear radiative Maxwell nano fluid with activation energy.Heliyon · 2024Article
- Spreadable Magnetic Soft Robots with On-Demand Hardening.Research (Washington, D.C.) · 2023Article
- Article
- Dual Modification of Starch by Physical Methods Based on Corona Electrical Discharge and Ionizing Radiation: Synergistic Impact on Rheological Behavior.Foods (Basel, Switzerland) · 2022Article
- Bioimpedance Sensor and Methodology for Acute Pain Monitoring.Sensors (Basel, Switzerland) · 2020Article
- Advanced materials modelling via fractional calculus: challenges and perspectives.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2020Article
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Authors and funding
5 authors.
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No grant is acknowledged in the PubMed record.
Abstract
The paper proposes a mathematical framework for the use of fractional-order impedance models to capture fluid mechanics properties in frequency-domain experimental datasets. An overview of non-Newtonian (NN) fluid classification is given as to motivate the use of fractional-order models as natural solutions to capture fluid dynamics. Four classes of fluids are tested: oil, sugar, detergent and liquid soap. Three nonlinear identification methods are used to fit the model: nonlinear least squares, genetic algorithms and particle swarm optimization. The model identification results obtained from experimental datasets suggest the proposed model is useful to characterize various degree of viscoelasticity in NN fluids. The advantage of the proposed model is that it is compact, while capturing the fluid properties and can be identified in real-time for further use in prediction or control applications. This article is part of the theme issue 'Advanced materials modelling via fractional calculus: challenges and perspectives'.
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