Magnetized flow of Cu + Al2O3 + H2O hybrid nanofluid in porous medium: Analysis of duality and stability
In this analysis, we aim to examine the heat transfer and flow characteristics of a copper-aluminum/water hybrid nanofluid in the presence of viscous dissipation, magnetohydrodynamic (MHD), and porous medium effect over the shrinking sheet. The governing equations of the fluid model have been acquir...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | https://repo.uum.edu.my/id/eprint/27929/1/S%2012%209%202020%201%2016.pdf |
| _version_ | 1825805716965818368 |
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| author | Lund, Liaquat Ali Omar, Zurni Dero, Sumera Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy |
| author_facet | Lund, Liaquat Ali Omar, Zurni Dero, Sumera Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy |
| author_sort | Lund, Liaquat Ali |
| collection | UUM |
| description | In this analysis, we aim to examine the heat transfer and flow characteristics of a copper-aluminum/water hybrid nanofluid in the presence of viscous dissipation, magnetohydrodynamic (MHD), and porous medium effect over the shrinking sheet. The governing equations of the fluid model have been acquired by employment of the model of Tiwari and Das, with additional properties of the hybrid nanofluid. The system of partial differential equations (PDEs) has been converted into ordinary differential equations (ODEs) by adopting the exponential similarity transformation. Similarity transformation is an essential class of phenomenon where the symmetry of the scale helps to reduce the number of independent variables. Note that ODE solutions demonstrate the PDEs symmetrical behavior for the velocity and temperature profiles. With BVP4C solver in the MATLAB program, the system of resulting equations has been solved. We have compared the present results with the published results and found in excellent agreements. The findings of the analysis are also displayed and discussed in depth graphically and numerically. It is discovered that two solutions occur in definite ranges of suction and magnetic parameters. Dual (no) similarity solutions can be found in the range of Sc≤S and Mc≤M (Sc>S and Mc>M). By performing stability analysis, the smallest values of eigenvalue are obtained, suggesting that a stable solution is the first one. Furthermore, the graph of the smallest eigenvalue shows symmetrical behavior. By enhancing the Eckert number values the temperature of the fluid is raised. |
| first_indexed | 2024-07-04T06:36:49Z |
| format | Article |
| id | uum-27929 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:49Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | eprints |
| spelling | uum-279292020-11-30T01:17:49Z https://repo.uum.edu.my/id/eprint/27929/ Magnetized flow of Cu + Al2O3 + H2O hybrid nanofluid in porous medium: Analysis of duality and stability Lund, Liaquat Ali Omar, Zurni Dero, Sumera Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy QA75 Electronic computers. Computer science In this analysis, we aim to examine the heat transfer and flow characteristics of a copper-aluminum/water hybrid nanofluid in the presence of viscous dissipation, magnetohydrodynamic (MHD), and porous medium effect over the shrinking sheet. The governing equations of the fluid model have been acquired by employment of the model of Tiwari and Das, with additional properties of the hybrid nanofluid. The system of partial differential equations (PDEs) has been converted into ordinary differential equations (ODEs) by adopting the exponential similarity transformation. Similarity transformation is an essential class of phenomenon where the symmetry of the scale helps to reduce the number of independent variables. Note that ODE solutions demonstrate the PDEs symmetrical behavior for the velocity and temperature profiles. With BVP4C solver in the MATLAB program, the system of resulting equations has been solved. We have compared the present results with the published results and found in excellent agreements. The findings of the analysis are also displayed and discussed in depth graphically and numerically. It is discovered that two solutions occur in definite ranges of suction and magnetic parameters. Dual (no) similarity solutions can be found in the range of Sc≤S and Mc≤M (Sc>S and Mc>M). By performing stability analysis, the smallest values of eigenvalue are obtained, suggesting that a stable solution is the first one. Furthermore, the graph of the smallest eigenvalue shows symmetrical behavior. By enhancing the Eckert number values the temperature of the fluid is raised. Multidisciplinary Digital Publishing Institute 2020 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27929/1/S%2012%209%202020%201%2016.pdf Lund, Liaquat Ali and Omar, Zurni and Dero, Sumera and Khan, Ilyas and Baleanu, Dumitru and Nisar, Kottakkaran Sooppy (2020) Magnetized flow of Cu + Al2O3 + H2O hybrid nanofluid in porous medium: Analysis of duality and stability. Symmetry, 12 (1513). pp. 1-16. ISSN 2073-8994 http://doi.org/10.3390/sym12091513 doi:10.3390/sym12091513 doi:10.3390/sym12091513 |
| spellingShingle | QA75 Electronic computers. Computer science Lund, Liaquat Ali Omar, Zurni Dero, Sumera Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy Magnetized flow of Cu + Al2O3 + H2O hybrid nanofluid in porous medium: Analysis of duality and stability |
| title | Magnetized flow of Cu + Al2O3 + H2O hybrid nanofluid in porous medium: Analysis of duality and stability |
| title_full | Magnetized flow of Cu + Al2O3 + H2O hybrid nanofluid in porous medium: Analysis of duality and stability |
| title_fullStr | Magnetized flow of Cu + Al2O3 + H2O hybrid nanofluid in porous medium: Analysis of duality and stability |
| title_full_unstemmed | Magnetized flow of Cu + Al2O3 + H2O hybrid nanofluid in porous medium: Analysis of duality and stability |
| title_short | Magnetized flow of Cu + Al2O3 + H2O hybrid nanofluid in porous medium: Analysis of duality and stability |
| title_sort | magnetized flow of cu al2o3 h2o hybrid nanofluid in porous medium analysis of duality and stability |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27929/1/S%2012%209%202020%201%2016.pdf |
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