Analysis of Koo-Kleinstreuer-Li model water-based nanofluid: Interval Type 2 fuzzy approach
The current study investigates the role of conducting nanofluid past a thin layer that is positioned horizontally while addressing uncertainties in the system using interval type-2 trapezoidal fuzzy sets [IT2TrFS]. The flow phenomena enrich due to the consideration of Brownian conductivity based on...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125000142 |
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| author | M.M. Nayak S.R. Mishra Rupa Baithalu |
| author_facet | M.M. Nayak S.R. Mishra Rupa Baithalu |
| author_sort | M.M. Nayak |
| collection | DOAJ |
| description | The current study investigates the role of conducting nanofluid past a thin layer that is positioned horizontally while addressing uncertainties in the system using interval type-2 trapezoidal fuzzy sets [IT2TrFS]. The flow phenomena enrich due to the consideration of Brownian conductivity based on the Koo–Kleinstreuer–Li (KKL) model thermal conductivity. The modeled problem for the nanofluid is transformed into ordinary by the utilization of similarity rules and a numerical technique is adapted for the solution. Interval type-2 trapezoidal fuzzy sets are used in this fuzzy analysis to investigate the role of several physical factors on velocity and temperature distribution, shear rate, Nusselt number (rate of heat transfer), nanoparticle diameter, fluid temperature, and volume concentration. The outcomes, which show these parameters affect the flow behavior, are displayed as tables and graphs. The main conclusions show that Brownian conductivity is strongly enhanced by fluid temperature and diminishes with increasing particle diameter. Furthermore, raising the volume concentration of nanoparticles tends to lower fluid temperature, which speeds up cooling procedures and is beneficial for the manufacturing of industrial materials. |
| format | Article |
| id | doaj-art-a99f8f13b2534614af7617eedf0a05e7 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-a99f8f13b2534614af7617eedf0a05e72025-01-19T06:26:47ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101086Analysis of Koo-Kleinstreuer-Li model water-based nanofluid: Interval Type 2 fuzzy approachM.M. Nayak0S.R. Mishra1Rupa Baithalu2Department of Mathematics, ITER, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaDepartment of Mathematics, ITER, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaCorresponding author.; Department of Mathematics, ITER, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaThe current study investigates the role of conducting nanofluid past a thin layer that is positioned horizontally while addressing uncertainties in the system using interval type-2 trapezoidal fuzzy sets [IT2TrFS]. The flow phenomena enrich due to the consideration of Brownian conductivity based on the Koo–Kleinstreuer–Li (KKL) model thermal conductivity. The modeled problem for the nanofluid is transformed into ordinary by the utilization of similarity rules and a numerical technique is adapted for the solution. Interval type-2 trapezoidal fuzzy sets are used in this fuzzy analysis to investigate the role of several physical factors on velocity and temperature distribution, shear rate, Nusselt number (rate of heat transfer), nanoparticle diameter, fluid temperature, and volume concentration. The outcomes, which show these parameters affect the flow behavior, are displayed as tables and graphs. The main conclusions show that Brownian conductivity is strongly enhanced by fluid temperature and diminishes with increasing particle diameter. Furthermore, raising the volume concentration of nanoparticles tends to lower fluid temperature, which speeds up cooling procedures and is beneficial for the manufacturing of industrial materials.http://www.sciencedirect.com/science/article/pii/S2666818125000142Time-dependent nanofluidKKL model conductivityPermeabilityParametric fuzzyNumerical technique, Interval Type 2 trapezoidal fuzzy number |
| spellingShingle | M.M. Nayak S.R. Mishra Rupa Baithalu Analysis of Koo-Kleinstreuer-Li model water-based nanofluid: Interval Type 2 fuzzy approach Partial Differential Equations in Applied Mathematics Time-dependent nanofluid KKL model conductivity Permeability Parametric fuzzy Numerical technique, Interval Type 2 trapezoidal fuzzy number |
| title | Analysis of Koo-Kleinstreuer-Li model water-based nanofluid: Interval Type 2 fuzzy approach |
| title_full | Analysis of Koo-Kleinstreuer-Li model water-based nanofluid: Interval Type 2 fuzzy approach |
| title_fullStr | Analysis of Koo-Kleinstreuer-Li model water-based nanofluid: Interval Type 2 fuzzy approach |
| title_full_unstemmed | Analysis of Koo-Kleinstreuer-Li model water-based nanofluid: Interval Type 2 fuzzy approach |
| title_short | Analysis of Koo-Kleinstreuer-Li model water-based nanofluid: Interval Type 2 fuzzy approach |
| title_sort | analysis of koo kleinstreuer li model water based nanofluid interval type 2 fuzzy approach |
| topic | Time-dependent nanofluid KKL model conductivity Permeability Parametric fuzzy Numerical technique, Interval Type 2 trapezoidal fuzzy number |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000142 |
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