Stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect
The steady boundary layer flow over a stretching/shrinking cylinder with suction effect is numerically studied. Using a similarity transformations, the governing partial differential equations are transformed into a set of nonlinear differential equations and have been solved numerically using a bvp...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/73955/ http://psasir.upm.edu.my/id/eprint/73955/1/Stability%20analysis%20on%20the%20flow%20and%20heat%20transfer%20of%20a%20nanofluid%20past%20a%20stretching%20shrinking%20cylinder%20with%20suction%20effect.pdf |
| _version_ | 1848857404062564352 |
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| author | Abu Bakar, Nor Ashikin Bachok @ Lati, Norfifah Md. Arifin, Norihan Pop, Ioan |
| author_facet | Abu Bakar, Nor Ashikin Bachok @ Lati, Norfifah Md. Arifin, Norihan Pop, Ioan |
| author_sort | Abu Bakar, Nor Ashikin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The steady boundary layer flow over a stretching/shrinking cylinder with suction effect is numerically studied. Using a similarity transformations, the governing partial differential equations are transformed into a set of nonlinear differential equations and have been solved numerically using a bvp4c code in Matlab software. The nanofluid model used is taking into account the effects of Brownian motion and thermophoresis. The influences of the governing parameters namely the curvature parameter γ, mass suction parameter S, Brownian motion parameter Nb and thermophoresis parameter Nt on the flow, heat and mass transfers characteristics are presented graphically. The numerical results obtained for the skin friction coefficient, local Nusselt number and local Sherwood number are thoroughly determined and presented graphically for several values of the governing parameters. From our investigation, it is found that the non-unique (dual) solutions exist for a certain range of mass suction parameter. It is observed that as curvature parameter increases, the skin friction coefficient and heat transfer rate decrease, meanwhile the mass transfer rates increase. Moreover, the stability analysis showed that the first solution is linearly stable, while the second solution is linearly unstable. |
| first_indexed | 2025-11-15T11:57:00Z |
| format | Article |
| id | upm-73955 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:57:00Z |
| publishDate | 2018 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-739552020-05-12T17:17:37Z http://psasir.upm.edu.my/id/eprint/73955/ Stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect Abu Bakar, Nor Ashikin Bachok @ Lati, Norfifah Md. Arifin, Norihan Pop, Ioan The steady boundary layer flow over a stretching/shrinking cylinder with suction effect is numerically studied. Using a similarity transformations, the governing partial differential equations are transformed into a set of nonlinear differential equations and have been solved numerically using a bvp4c code in Matlab software. The nanofluid model used is taking into account the effects of Brownian motion and thermophoresis. The influences of the governing parameters namely the curvature parameter γ, mass suction parameter S, Brownian motion parameter Nb and thermophoresis parameter Nt on the flow, heat and mass transfers characteristics are presented graphically. The numerical results obtained for the skin friction coefficient, local Nusselt number and local Sherwood number are thoroughly determined and presented graphically for several values of the governing parameters. From our investigation, it is found that the non-unique (dual) solutions exist for a certain range of mass suction parameter. It is observed that as curvature parameter increases, the skin friction coefficient and heat transfer rate decrease, meanwhile the mass transfer rates increase. Moreover, the stability analysis showed that the first solution is linearly stable, while the second solution is linearly unstable. Elsevier 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/73955/1/Stability%20analysis%20on%20the%20flow%20and%20heat%20transfer%20of%20a%20nanofluid%20past%20a%20stretching%20shrinking%20cylinder%20with%20suction%20effect.pdf Abu Bakar, Nor Ashikin and Bachok @ Lati, Norfifah and Md. Arifin, Norihan and Pop, Ioan (2018) Stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect. Results in Physics, 9. 1335 - 1344. ISSN 2211-3797 https://www.sciencedirect.com/science/article/pii/S2211379718301372 10.1016/j.rinp.2018.04.056 |
| spellingShingle | Abu Bakar, Nor Ashikin Bachok @ Lati, Norfifah Md. Arifin, Norihan Pop, Ioan Stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect |
| title | Stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect |
| title_full | Stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect |
| title_fullStr | Stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect |
| title_full_unstemmed | Stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect |
| title_short | Stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect |
| title_sort | stability analysis on the flow and heat transfer of a nanofluid past a stretching/shrinking cylinder with suction effect |
| url | http://psasir.upm.edu.my/id/eprint/73955/ http://psasir.upm.edu.my/id/eprint/73955/ http://psasir.upm.edu.my/id/eprint/73955/ http://psasir.upm.edu.my/id/eprint/73955/1/Stability%20analysis%20on%20the%20flow%20and%20heat%20transfer%20of%20a%20nanofluid%20past%20a%20stretching%20shrinking%20cylinder%20with%20suction%20effect.pdf |