Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method
In this paper, magnetohydrodynamic (MHD) flow over a shrinking sheet and heat transfer with viscous dissipation has been studied. The governing equations of the considered problem are transformed into ordinary differential equations using similarity transformation. The resultant equations are conver...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019
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| Online Access: | https://repo.uum.edu.my/id/eprint/26532/1/C%20%209%20548%202019%201%2012.pdf |
| _version_ | 1825805488762126336 |
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| author | Lund, Liaquat Ali Omar, Zurni Alharbi, Sayer O. Khan, Ilyas Nisar, Kottakkaran Sooppy |
| author_facet | Lund, Liaquat Ali Omar, Zurni Alharbi, Sayer O. Khan, Ilyas Nisar, Kottakkaran Sooppy |
| author_sort | Lund, Liaquat Ali |
| collection | UUM |
| description | In this paper, magnetohydrodynamic (MHD) flow over a shrinking sheet and heat transfer with viscous dissipation has been studied. The governing equations of the considered problem are transformed into ordinary differential equations using similarity transformation. The resultant equations are converted into a system of fractional differential boundary layer equations by employing a Caputo derivative which is then solved numerically using the Adams-type predictor-corrector method (APCM). The results show the existence of two ranges of solutions, namely, dual solutions and no solution. Moreover, the results indicate that dual solutions exist for a certain range of specific parameters which are in line with the results of some previously published work. It is also observed that the velocity boundary layer decreases as the suction and magnetic parameters increase. |
| first_indexed | 2024-07-04T06:33:09Z |
| format | Article |
| id | uum-26532 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:33:09Z |
| publishDate | 2019 |
| publisher | MDPI AG |
| record_format | eprints |
| spelling | uum-265322019-10-29T01:13:36Z https://repo.uum.edu.my/id/eprint/26532/ Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method Lund, Liaquat Ali Omar, Zurni Alharbi, Sayer O. Khan, Ilyas Nisar, Kottakkaran Sooppy QA75 Electronic computers. Computer science In this paper, magnetohydrodynamic (MHD) flow over a shrinking sheet and heat transfer with viscous dissipation has been studied. The governing equations of the considered problem are transformed into ordinary differential equations using similarity transformation. The resultant equations are converted into a system of fractional differential boundary layer equations by employing a Caputo derivative which is then solved numerically using the Adams-type predictor-corrector method (APCM). The results show the existence of two ranges of solutions, namely, dual solutions and no solution. Moreover, the results indicate that dual solutions exist for a certain range of specific parameters which are in line with the results of some previously published work. It is also observed that the velocity boundary layer decreases as the suction and magnetic parameters increase. MDPI AG 2019 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/26532/1/C%20%209%20548%202019%201%2012.pdf Lund, Liaquat Ali and Omar, Zurni and Alharbi, Sayer O. and Khan, Ilyas and Nisar, Kottakkaran Sooppy (2019) Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method. Coatings, 9 (548). pp. 1-12. ISSN 2079-6412 http://doi.org/10.3390/coatings9090548 doi:10.3390/coatings9090548 doi:10.3390/coatings9090548 |
| spellingShingle | QA75 Electronic computers. Computer science Lund, Liaquat Ali Omar, Zurni Alharbi, Sayer O. Khan, Ilyas Nisar, Kottakkaran Sooppy Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method |
| title | Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method |
| title_full | Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method |
| title_fullStr | Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method |
| title_full_unstemmed | Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method |
| title_short | Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method |
| title_sort | numerical investigation of multiple solutions for caputo fractional order two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the adams type predictor corrector method |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/26532/1/C%20%209%20548%202019%201%2012.pdf |
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