Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-Caputo sense
In this paper, we present a new fuzzy-fractional (FF) transformation to recover FF differential model of hybrid nanofluid. The current study focuses on FF modeling of nanofluid with engine oil as base fluid, while ferrous oxide Fe2O3 and alumina Al2O3 are considered nanoparticles. In accordance to t...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Case Studies in Thermal Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X24002430 |
| _version_ | 1827325492005437440 |
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| author | Mubashir Qayyum Sidra Afzal Efaza Ahmad Ali Akgül Sayed M. El Din |
| author_facet | Mubashir Qayyum Sidra Afzal Efaza Ahmad Ali Akgül Sayed M. El Din |
| author_sort | Mubashir Qayyum |
| collection | DOAJ |
| description | In this paper, we present a new fuzzy-fractional (FF) transformation to recover FF differential model of hybrid nanofluid. The current study focuses on FF modeling of nanofluid with engine oil as base fluid, while ferrous oxide Fe2O3 and alumina Al2O3 are considered nanoparticles. In accordance to the real industrial phenomena, the flow is simulated between two squeezing plates with thermal radiation and magnetic effects. A generalized fuzzy-fraction flow problem is modeled by introducing new similarity transforms. Obtained model is validated both theoretically and numerically. At integer order Υ=1, the FF model reduces to the integer order fluid model existing in literature, proving theoretical validity. Fuzzy-valued functions are discriminated through triangular fuzzy numbers using r-cut approach. In order to solve, obtained highly non-linear FF nanofluid system, we apply He–Laplace–Carson (HLC) algorithm. Differential and convolution properties of Laplace–Carson Transform (LCT) are utilized for solution purpose. Error and convergence analysis is performed numerically to verify obtained results. Furthermore, graphical illustrations for upper and lower bound analysis on FF profiles is also presented. Analysis reveals that heat transfer in engine oil enhances with an increase in radiation at upper and lower bound in fuzzy-fractional environment. Moreover, entropy decreases with an increase in nanoparticle concentration of Fe2O3 and Al2O3 in engine oil. |
| first_indexed | 2024-03-07T14:29:00Z |
| format | Article |
| id | doaj.art-5f6e9655c34c4711a43e9212550b94a1 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-03-07T14:29:00Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-5f6e9655c34c4711a43e9212550b94a12024-03-06T05:26:47ZengElsevierCase Studies in Thermal Engineering2214-157X2024-03-0155104212Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-Caputo senseMubashir Qayyum0Sidra Afzal1Efaza Ahmad2Ali Akgül3Sayed M. El Din4Department of Sciences and Humanities, National University of Computer and Emerging Sciences Lahore, Pakistan; Corresponding author.Department of Sciences and Humanities, National University of Computer and Emerging Sciences Lahore, PakistanDepartment of Sciences and Humanities, National University of Computer and Emerging Sciences Lahore, PakistanDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, TurkeyCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, EgyptIn this paper, we present a new fuzzy-fractional (FF) transformation to recover FF differential model of hybrid nanofluid. The current study focuses on FF modeling of nanofluid with engine oil as base fluid, while ferrous oxide Fe2O3 and alumina Al2O3 are considered nanoparticles. In accordance to the real industrial phenomena, the flow is simulated between two squeezing plates with thermal radiation and magnetic effects. A generalized fuzzy-fraction flow problem is modeled by introducing new similarity transforms. Obtained model is validated both theoretically and numerically. At integer order Υ=1, the FF model reduces to the integer order fluid model existing in literature, proving theoretical validity. Fuzzy-valued functions are discriminated through triangular fuzzy numbers using r-cut approach. In order to solve, obtained highly non-linear FF nanofluid system, we apply He–Laplace–Carson (HLC) algorithm. Differential and convolution properties of Laplace–Carson Transform (LCT) are utilized for solution purpose. Error and convergence analysis is performed numerically to verify obtained results. Furthermore, graphical illustrations for upper and lower bound analysis on FF profiles is also presented. Analysis reveals that heat transfer in engine oil enhances with an increase in radiation at upper and lower bound in fuzzy-fractional environment. Moreover, entropy decreases with an increase in nanoparticle concentration of Fe2O3 and Al2O3 in engine oil.http://www.sciencedirect.com/science/article/pii/S2214157X24002430Fractional-fuzzy (FF) modelingHybrid nanofluidHe–Laplace–Carson (HLC) algorithm |
| spellingShingle | Mubashir Qayyum Sidra Afzal Efaza Ahmad Ali Akgül Sayed M. El Din Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-Caputo sense Case Studies in Thermal Engineering Fractional-fuzzy (FF) modeling Hybrid nanofluid He–Laplace–Carson (HLC) algorithm |
| title | Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-Caputo sense |
| title_full | Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-Caputo sense |
| title_fullStr | Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-Caputo sense |
| title_full_unstemmed | Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-Caputo sense |
| title_short | Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-Caputo sense |
| title_sort | generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy caputo sense |
| topic | Fractional-fuzzy (FF) modeling Hybrid nanofluid He–Laplace–Carson (HLC) algorithm |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X24002430 |
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