Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates
Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed. The fluid temperature is described by a time-fractional differential equation with Caputo derivatives. Cl...
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2019-06-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | http://jacm.scu.ac.ir/article_13837_0344f863af54b921ee820206f1b3d005.pdf |
| _version_ | 1818158894700036096 |
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| author | Najma Ahmed Nehad Ali Shah Bakhtiar Ahmad Syed Inayat Shah Sam Ulhaq Mohamad Rahimi -Gorji |
| author_facet | Najma Ahmed Nehad Ali Shah Bakhtiar Ahmad Syed Inayat Shah Sam Ulhaq Mohamad Rahimi -Gorji |
| author_sort | Najma Ahmed |
| collection | DOAJ |
| description | Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed. The fluid temperature is described by a time-fractional differential equation with Caputo derivatives. Closed form of the temperature field is obtained by using the Laplace transform and fractional derivatives of the Wright’s functions. A semi-analytical solution for the velocity field is obtained by using the Laplace transform coupled with the numerical algorithms for the inverse Laplace transform elaborated by Stehfest and Tzou. Effects of the derivative fractional order and physical parameters on the nanofluid flow and heat transfer are graphically investigated. |
| first_indexed | 2024-12-11T15:37:21Z |
| format | Article |
| id | doaj.art-f73a0098d53644109feedeca69c851fa |
| institution | Directory Open Access Journal |
| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-11T15:37:21Z |
| publishDate | 2019-06-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-f73a0098d53644109feedeca69c851fa2022-12-22T00:59:54ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362019-06-015459260210.22055/jacm.2018.26947.136413837Transient MHD Convective Flow of Fractional Nanofluid between Vertical PlatesNajma Ahmed0Nehad Ali Shah1Bakhtiar Ahmad2Syed Inayat Shah3Sam Ulhaq4Mohamad Rahimi -Gorji5Abdus Salam School of Mathematical Sciences, GC University Lahore, PakistanAbdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan | Department of Mathematics, Lahore Leads University, Lahore PakistanDepartment of Mathematics, Islamia College University Peshawar Khyber Pakhtunkhwa 25000, PakistanDepartment of Mathematics, Islamia College University Peshawar Khyber Pakhtunkhwa 25000, PakistanDepartment of Mathematics, Islamia College University Peshawar Khyber Pakhtunkhwa 25000, PakistanExperimental Surgery Lab, Department of Surgery, Ghent University, De Pintelaan 185, 9000 Ghent, Belgium | Biofluid, Tissue and Solid Mechanics for Medical Applications Lab (IBiTech, bioMMeda), Ghent University, Gent, BelgiumEffects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed. The fluid temperature is described by a time-fractional differential equation with Caputo derivatives. Closed form of the temperature field is obtained by using the Laplace transform and fractional derivatives of the Wright’s functions. A semi-analytical solution for the velocity field is obtained by using the Laplace transform coupled with the numerical algorithms for the inverse Laplace transform elaborated by Stehfest and Tzou. Effects of the derivative fractional order and physical parameters on the nanofluid flow and heat transfer are graphically investigated.http://jacm.scu.ac.ir/article_13837_0344f863af54b921ee820206f1b3d005.pdfConvection flowsNanofluidsCaputo fractional derivativeLaplace transform |
| spellingShingle | Najma Ahmed Nehad Ali Shah Bakhtiar Ahmad Syed Inayat Shah Sam Ulhaq Mohamad Rahimi -Gorji Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates Journal of Applied and Computational Mechanics Convection flows Nanofluids Caputo fractional derivative Laplace transform |
| title | Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates |
| title_full | Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates |
| title_fullStr | Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates |
| title_full_unstemmed | Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates |
| title_short | Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates |
| title_sort | transient mhd convective flow of fractional nanofluid between vertical plates |
| topic | Convection flows Nanofluids Caputo fractional derivative Laplace transform |
| url | http://jacm.scu.ac.ir/article_13837_0344f863af54b921ee820206f1b3d005.pdf |
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