Ternary nanofluid flow over a stretching surface with nanoparticles shapes effect under transverse magnetic field using Runge Kutta Fehlberg method
This study investigates sodium alginate (SA)-based nanofluids, highlighting their thermophysical properties and potential advantages over conventional heat transfer fluids. It examines the influence of nanoparticle morphology on TiO₂, Al₂O₃-Cu nanofluids, and non-Newtonian viscoplastic SA-based flui...
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| Language: | English |
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Elsevier
2025-03-01
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| Series: | Results in Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S259012302500458X |
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| author | Sakeena Bibi Aaqib Majeed Rida Irfan Hijaz Ahmad Wasim Jamshed Nor Ain Azeany Mohd Nasir Syed M. Hussain |
| author_facet | Sakeena Bibi Aaqib Majeed Rida Irfan Hijaz Ahmad Wasim Jamshed Nor Ain Azeany Mohd Nasir Syed M. Hussain |
| author_sort | Sakeena Bibi |
| collection | DOAJ |
| description | This study investigates sodium alginate (SA)-based nanofluids, highlighting their thermophysical properties and potential advantages over conventional heat transfer fluids. It examines the influence of nanoparticle morphology on TiO₂, Al₂O₃-Cu nanofluids, and non-Newtonian viscoplastic SA-based fluids under a transverse magnetic field. Four nanoparticle shapes—cylinders, bricks, blades, and platelets—are considered. Nonlinear PDEs are transformed into ODEs and solved numerically using the Runge–Kutta–Fehlberg method in MAPLE. Results show that temperature decreases with a higher Prandtl number but increases with the Eckert number and viscoplastic parameter. The velocity profile decreases for all Cu nanoparticle shapes but rises with a more significant stretching surface parameter. Alumina-based nanofluids reduce viscosity without lowering thermal conductivity. These findings benefit applications in electronic cooling, biomedical hyperthermia, and manufacturing processes. |
| format | Article |
| id | doaj-art-d07a250e2e1a449e89da866f437d278b |
| institution | DOAJ |
| issn | 2590-1230 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj-art-d07a250e2e1a449e89da866f437d278b2025-08-20T03:00:59ZengElsevierResults in Engineering2590-12302025-03-012510437810.1016/j.rineng.2025.104378Ternary nanofluid flow over a stretching surface with nanoparticles shapes effect under transverse magnetic field using Runge Kutta Fehlberg methodSakeena Bibi0Aaqib Majeed1Rida Irfan2Hijaz Ahmad3Wasim Jamshed4Nor Ain Azeany Mohd Nasir5Syed M. Hussain6Department of Mathematics, Faculty of Sciences, The University of Faisalabad, Faisalabad, PakistanDepartment of Mathematics, Faculty of Sciences, The University of Faisalabad, Faisalabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 45550, Pakistan; Corresponding author.Near East University, Operational Research Center in Healthcare, TRNC Mersin 10, Nicosia 99138, Turkey; Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia; Department of Technical Sciences, Western Caspian University, Baku 1001, Azerbaijan; Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, South KoreaDepartment of Mathematics, Capital University of Science and Technology (CUST), Islamabad 44000, Pakistan; College of Engineering, Al-Ayen Iraqi University, An Nasiriyah, 64001, Iraq; Department of Computer Engineering, Biruni University, Topkapi, Istanbul, TurkeyDepartment of Mathematics, Centre for Defence Foundation Studies, Universiti Pertahanan Nasional Malaysia, Kem Sungai Besi, Kuala Lumpur 57000, Malaysia; Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi ArabiaThis study investigates sodium alginate (SA)-based nanofluids, highlighting their thermophysical properties and potential advantages over conventional heat transfer fluids. It examines the influence of nanoparticle morphology on TiO₂, Al₂O₃-Cu nanofluids, and non-Newtonian viscoplastic SA-based fluids under a transverse magnetic field. Four nanoparticle shapes—cylinders, bricks, blades, and platelets—are considered. Nonlinear PDEs are transformed into ODEs and solved numerically using the Runge–Kutta–Fehlberg method in MAPLE. Results show that temperature decreases with a higher Prandtl number but increases with the Eckert number and viscoplastic parameter. The velocity profile decreases for all Cu nanoparticle shapes but rises with a more significant stretching surface parameter. Alumina-based nanofluids reduce viscosity without lowering thermal conductivity. These findings benefit applications in electronic cooling, biomedical hyperthermia, and manufacturing processes.http://www.sciencedirect.com/science/article/pii/S259012302500458XTernary hybrid nanofluidMagnetic fieldShape factorNanofluidicsPartial differential equationsRunge–Kutta–Fehlberg (RKF) method |
| spellingShingle | Sakeena Bibi Aaqib Majeed Rida Irfan Hijaz Ahmad Wasim Jamshed Nor Ain Azeany Mohd Nasir Syed M. Hussain Ternary nanofluid flow over a stretching surface with nanoparticles shapes effect under transverse magnetic field using Runge Kutta Fehlberg method Results in Engineering Ternary hybrid nanofluid Magnetic field Shape factor Nanofluidics Partial differential equations Runge–Kutta–Fehlberg (RKF) method |
| title | Ternary nanofluid flow over a stretching surface with nanoparticles shapes effect under transverse magnetic field using Runge Kutta Fehlberg method |
| title_full | Ternary nanofluid flow over a stretching surface with nanoparticles shapes effect under transverse magnetic field using Runge Kutta Fehlberg method |
| title_fullStr | Ternary nanofluid flow over a stretching surface with nanoparticles shapes effect under transverse magnetic field using Runge Kutta Fehlberg method |
| title_full_unstemmed | Ternary nanofluid flow over a stretching surface with nanoparticles shapes effect under transverse magnetic field using Runge Kutta Fehlberg method |
| title_short | Ternary nanofluid flow over a stretching surface with nanoparticles shapes effect under transverse magnetic field using Runge Kutta Fehlberg method |
| title_sort | ternary nanofluid flow over a stretching surface with nanoparticles shapes effect under transverse magnetic field using runge kutta fehlberg method |
| topic | Ternary hybrid nanofluid Magnetic field Shape factor Nanofluidics Partial differential equations Runge–Kutta–Fehlberg (RKF) method |
| url | http://www.sciencedirect.com/science/article/pii/S259012302500458X |
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