The flow of hybrid nanofluid past a permeable shrinking sheet in a Darcy–Forchheimer porous medium with second-order velocity slip
The objective of this research is to study the significance of second-order velocity slip in a Darcy–Forchheimer porous medium with the hybrid nanofluid flow toward a permeable shrinking surface. Heat generation and radiative heat flux are introduced in the energy model. Two distinct nanoparticles o...
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| Format: | Article |
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Taylor and Francis
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/103562/ |
| _version_ | 1848864050322079744 |
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| author | Abu Bakar, Shahirah Wahid, Nur Syahirah Md Arifin, Norihan Khashi’ie, Najiyah Safwa |
| author_facet | Abu Bakar, Shahirah Wahid, Nur Syahirah Md Arifin, Norihan Khashi’ie, Najiyah Safwa |
| author_sort | Abu Bakar, Shahirah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The objective of this research is to study the significance of second-order velocity slip in a Darcy–Forchheimer porous medium with the hybrid nanofluid flow toward a permeable shrinking surface. Heat generation and radiative heat flux are introduced in the energy model. Two distinct nanoparticles of aluminum oxide (Al2O3) and copper (Cu) are used to represent the hybrid nanofluid flow with water (H2O) as the base fluid. An appropriate method of similarity transformation is applied to reduce a PDE system into a model of non-linear ODEs. With the aid of a bvp4c solver in Matlab, the respective findings are graphically presented for the profiles of velocity and temperature, skin friction coefficient, and Nusselt numbers with physical parameters, such as suction, porous medium permeability, Darcy–Forchheimer number, shrinking, radiation, and nanoparticle volume fraction. The hybrid nanofluid presented a higher estimation of heat and mass transfer rates than the classic mono-nanofluid. Moreover, the parameters of Darcy–Forchheimer number and second-order velocity slip significantly expand the fluid flow. It is found that the occurrence of opposing flow (λ < 0) will generate two solutions, where the implementation of stability analysis perceived the first solution to be the most realizable. |
| first_indexed | 2025-11-15T13:42:39Z |
| format | Article |
| id | upm-103562 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:42:39Z |
| publishDate | 2022 |
| publisher | Taylor and Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1035622023-05-17T07:17:24Z http://psasir.upm.edu.my/id/eprint/103562/ The flow of hybrid nanofluid past a permeable shrinking sheet in a Darcy–Forchheimer porous medium with second-order velocity slip Abu Bakar, Shahirah Wahid, Nur Syahirah Md Arifin, Norihan Khashi’ie, Najiyah Safwa The objective of this research is to study the significance of second-order velocity slip in a Darcy–Forchheimer porous medium with the hybrid nanofluid flow toward a permeable shrinking surface. Heat generation and radiative heat flux are introduced in the energy model. Two distinct nanoparticles of aluminum oxide (Al2O3) and copper (Cu) are used to represent the hybrid nanofluid flow with water (H2O) as the base fluid. An appropriate method of similarity transformation is applied to reduce a PDE system into a model of non-linear ODEs. With the aid of a bvp4c solver in Matlab, the respective findings are graphically presented for the profiles of velocity and temperature, skin friction coefficient, and Nusselt numbers with physical parameters, such as suction, porous medium permeability, Darcy–Forchheimer number, shrinking, radiation, and nanoparticle volume fraction. The hybrid nanofluid presented a higher estimation of heat and mass transfer rates than the classic mono-nanofluid. Moreover, the parameters of Darcy–Forchheimer number and second-order velocity slip significantly expand the fluid flow. It is found that the occurrence of opposing flow (λ < 0) will generate two solutions, where the implementation of stability analysis perceived the first solution to be the most realizable. Taylor and Francis 2022 Article PeerReviewed Abu Bakar, Shahirah and Wahid, Nur Syahirah and Md Arifin, Norihan and Khashi’ie, Najiyah Safwa (2022) The flow of hybrid nanofluid past a permeable shrinking sheet in a Darcy–Forchheimer porous medium with second-order velocity slip. Waves in Random and Complex Media. pp. 1-18. ISSN 1745-5030; ESSN: 1745-5049 https://www.tandfonline.com/doi/abs/10.1080/17455030.2021.2020375 10.1080/17455030.2021.2020375 |
| spellingShingle | Abu Bakar, Shahirah Wahid, Nur Syahirah Md Arifin, Norihan Khashi’ie, Najiyah Safwa The flow of hybrid nanofluid past a permeable shrinking sheet in a Darcy–Forchheimer porous medium with second-order velocity slip |
| title | The flow of hybrid nanofluid past a permeable shrinking sheet in a Darcy–Forchheimer porous medium with second-order velocity slip |
| title_full | The flow of hybrid nanofluid past a permeable shrinking sheet in a Darcy–Forchheimer porous medium with second-order velocity slip |
| title_fullStr | The flow of hybrid nanofluid past a permeable shrinking sheet in a Darcy–Forchheimer porous medium with second-order velocity slip |
| title_full_unstemmed | The flow of hybrid nanofluid past a permeable shrinking sheet in a Darcy–Forchheimer porous medium with second-order velocity slip |
| title_short | The flow of hybrid nanofluid past a permeable shrinking sheet in a Darcy–Forchheimer porous medium with second-order velocity slip |
| title_sort | flow of hybrid nanofluid past a permeable shrinking sheet in a darcy–forchheimer porous medium with second-order velocity slip |
| url | http://psasir.upm.edu.my/id/eprint/103562/ http://psasir.upm.edu.my/id/eprint/103562/ http://psasir.upm.edu.my/id/eprint/103562/ |