Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis
A model of unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet with the presence of velocity slip is considered in this paper. The nanofluid model proposed by Tiwari and Das is applied where water with Prandtl number 6.2 has been chosen as the bas...
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| Format: | Article |
| Language: | English |
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MDPI
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/74368/ http://psasir.upm.edu.my/id/eprint/74368/1/Unsteady%20stagnation-point%20flow%20and%20heat%20transfer%20over%20a%20permeable%20exponential%20stretchingshrinking%20sheet%20in%20nanofluid%20with%20slip%20velocity%20effect%20a%20stability%20analysis.pdf |
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| author | Dzulkifli, Nor Fadhilah Bachok @ Lati, Norfifah Yacob, Nor Azizah Md Arifin, Norihan Rosali, Haliza |
| author_facet | Dzulkifli, Nor Fadhilah Bachok @ Lati, Norfifah Yacob, Nor Azizah Md Arifin, Norihan Rosali, Haliza |
| author_sort | Dzulkifli, Nor Fadhilah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A model of unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet with the presence of velocity slip is considered in this paper. The nanofluid model proposed by Tiwari and Das is applied where water with Prandtl number 6.2 has been chosen as the base fluid, while three different nanoparticles are taken into consideration, namely Copper, Alumina, and Titania. The ordinary differential equations are solved using boundary value problem with fourth order accuracy (bvp4c) program in Matlab to find the numerical solutions of the skin friction and heat transfer coefficients for different parameters such as stretching/shrinking, velocity slip, nanoparticle volume fraction, suction/injection, and also different nanoparticles, for which the obtained results (dual solutions) are presented graphically. The velocity and temperature profiles are presented to show that the far field boundary conditions are asymptotically fulfilled, and validate the findings of dual solutions as displayed in the variations of the skin friction and heat transfer coefficients. The last part is to perform the stability analysis to determine a stable and physically-realizable solution. |
| first_indexed | 2025-11-15T11:58:20Z |
| format | Article |
| id | upm-74368 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:58:20Z |
| publishDate | 2018 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-743682020-04-17T14:33:55Z http://psasir.upm.edu.my/id/eprint/74368/ Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis Dzulkifli, Nor Fadhilah Bachok @ Lati, Norfifah Yacob, Nor Azizah Md Arifin, Norihan Rosali, Haliza A model of unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet with the presence of velocity slip is considered in this paper. The nanofluid model proposed by Tiwari and Das is applied where water with Prandtl number 6.2 has been chosen as the base fluid, while three different nanoparticles are taken into consideration, namely Copper, Alumina, and Titania. The ordinary differential equations are solved using boundary value problem with fourth order accuracy (bvp4c) program in Matlab to find the numerical solutions of the skin friction and heat transfer coefficients for different parameters such as stretching/shrinking, velocity slip, nanoparticle volume fraction, suction/injection, and also different nanoparticles, for which the obtained results (dual solutions) are presented graphically. The velocity and temperature profiles are presented to show that the far field boundary conditions are asymptotically fulfilled, and validate the findings of dual solutions as displayed in the variations of the skin friction and heat transfer coefficients. The last part is to perform the stability analysis to determine a stable and physically-realizable solution. MDPI 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/74368/1/Unsteady%20stagnation-point%20flow%20and%20heat%20transfer%20over%20a%20permeable%20exponential%20stretchingshrinking%20sheet%20in%20nanofluid%20with%20slip%20velocity%20effect%20a%20stability%20analysis.pdf Dzulkifli, Nor Fadhilah and Bachok @ Lati, Norfifah and Yacob, Nor Azizah and Md Arifin, Norihan and Rosali, Haliza (2018) Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis. Applied Sciences, 8 (11). art. no. 2172. pp. 1-18. ISSN 2076-3417; ESSN: 2076-3417 https://www.mdpi.com/2076-3417/8/11/2172/pdf/1 10.3390/app8112172 |
| spellingShingle | Dzulkifli, Nor Fadhilah Bachok @ Lati, Norfifah Yacob, Nor Azizah Md Arifin, Norihan Rosali, Haliza Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis |
| title | Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis |
| title_full | Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis |
| title_fullStr | Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis |
| title_full_unstemmed | Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis |
| title_short | Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis |
| title_sort | unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis |
| url | http://psasir.upm.edu.my/id/eprint/74368/ http://psasir.upm.edu.my/id/eprint/74368/ http://psasir.upm.edu.my/id/eprint/74368/ http://psasir.upm.edu.my/id/eprint/74368/1/Unsteady%20stagnation-point%20flow%20and%20heat%20transfer%20over%20a%20permeable%20exponential%20stretchingshrinking%20sheet%20in%20nanofluid%20with%20slip%20velocity%20effect%20a%20stability%20analysis.pdf |