Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation
The application of nanoparticles in the base fluids strongly influences the presentation of cooling as well as heating techniques. The nanoparticles improve thermal conductivity by fluctuating the heat characteristics in the base fluid. The expertise of nanoparticles in increasing heat transference...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-04-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0286 |
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| author | Ali Qasim Riaz Samia Memon Imran Qasim Chandio Irfan Ali Amir Muhammad Sarris Ioannis E. Abro Kashif Ali |
| author_facet | Ali Qasim Riaz Samia Memon Imran Qasim Chandio Irfan Ali Amir Muhammad Sarris Ioannis E. Abro Kashif Ali |
| author_sort | Ali Qasim |
| collection | DOAJ |
| description | The application of nanoparticles in the base fluids strongly influences the presentation of cooling as well as heating techniques. The nanoparticles improve thermal conductivity by fluctuating the heat characteristics in the base fluid. The expertise of nanoparticles in increasing heat transference has captivated several investigators to more evaluate the working fluid. This study disputes the investigation of convection flow for magnetohydrodynamics second-grade nanofluid with an infinite upright heated flat plate. The fractional model is obtained through Fourier law by exploiting Prabhakar fractional approach along with graphene oxide (GO)({\rm{GO}}) and molybdenum disulfide (MoS2)({\rm{Mo}}{{\rm{S}}}_{2}) nanoparticles and engine oil is considered as the base fluid. The equations are solved analytically via the Laplace approach. The temperature and momentum profiles show the dual behavior of the fractional parameters (α,β,γ)(\alpha ,\beta ,\gamma ) at different times. The velocity increases as Grashof number{\rm{Grashof\; number}} increases and declines for greater values of magnetic parameter and Prandtl number. In the comparison of different numerical methods, the curves are overlapped, signifying that our attained results are authentic. The numerical investigation of governed profiles comparison shows that our obtained results in percentages of 0.20.2 ≤ temperature ≤ 4.364.36 and velocity 0.48≤7.530.48\le 7.53 are better than those of Basit et al. The development in temperature and momentum profile, due to engine oil–GO is more progressive, than engine oil–MoS2. |
| first_indexed | 2024-04-09T14:09:04Z |
| format | Article |
| id | doaj.art-ad8b19285c2b4668b013d9d01ed7b11c |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-04-09T14:09:04Z |
| publishDate | 2023-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-ad8b19285c2b4668b013d9d01ed7b11c2023-05-06T15:50:46ZengDe GruyterNonlinear Engineering2192-80292023-04-01121102018610.1515/nleng-2022-0286Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiationAli Qasim0Riaz Samia1Memon Imran Qasim2Chandio Irfan Ali3Amir Muhammad4Sarris Ioannis E.5Abro Kashif Ali6Department of Mathematics, University of Engineering and Technology, Lahore, PakistanDepartment of Mathematics, University of Engineering and Technology, Lahore, PakistanDepartment of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, PakistanDepartment of Telecommunication Engineering, Dawood University of Engineering and Technology, Karachi, PakistanDepartment of Mathematics, University of Engineering and Technology, Lahore, PakistanDepartment of Mechanical Engineering, University of West Attica, 250 Thivon & P. Ralli Str, 12244-Egaleo, Athens, GreeceDepartment of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, PakistanThe application of nanoparticles in the base fluids strongly influences the presentation of cooling as well as heating techniques. The nanoparticles improve thermal conductivity by fluctuating the heat characteristics in the base fluid. The expertise of nanoparticles in increasing heat transference has captivated several investigators to more evaluate the working fluid. This study disputes the investigation of convection flow for magnetohydrodynamics second-grade nanofluid with an infinite upright heated flat plate. The fractional model is obtained through Fourier law by exploiting Prabhakar fractional approach along with graphene oxide (GO)({\rm{GO}}) and molybdenum disulfide (MoS2)({\rm{Mo}}{{\rm{S}}}_{2}) nanoparticles and engine oil is considered as the base fluid. The equations are solved analytically via the Laplace approach. The temperature and momentum profiles show the dual behavior of the fractional parameters (α,β,γ)(\alpha ,\beta ,\gamma ) at different times. The velocity increases as Grashof number{\rm{Grashof\; number}} increases and declines for greater values of magnetic parameter and Prandtl number. In the comparison of different numerical methods, the curves are overlapped, signifying that our attained results are authentic. The numerical investigation of governed profiles comparison shows that our obtained results in percentages of 0.20.2 ≤ temperature ≤ 4.364.36 and velocity 0.48≤7.530.48\le 7.53 are better than those of Basit et al. The development in temperature and momentum profile, due to engine oil–GO is more progressive, than engine oil–MoS2.https://doi.org/10.1515/nleng-2022-0286convection flowsecond-grade nanofluidmagnetic fieldfourier lawprabhakar fractional derivativelaplace transform |
| spellingShingle | Ali Qasim Riaz Samia Memon Imran Qasim Chandio Irfan Ali Amir Muhammad Sarris Ioannis E. Abro Kashif Ali Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation Nonlinear Engineering convection flow second-grade nanofluid magnetic field fourier law prabhakar fractional derivative laplace transform |
| title | Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation |
| title_full | Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation |
| title_fullStr | Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation |
| title_full_unstemmed | Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation |
| title_short | Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation |
| title_sort | investigation of magnetized convection for second grade nanofluids via prabhakar differentiation |
| topic | convection flow second-grade nanofluid magnetic field fourier law prabhakar fractional derivative laplace transform |
| url | https://doi.org/10.1515/nleng-2022-0286 |
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