Stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation
This case study seeks to examine the fluid flow at stagnation-point over an exponentially permeable shrinking sheet towards suction. This work also investigate the heat transfer in the present of heat generation. By using an appropriate similarity transformation, we obtain ordinary differential eq...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/76362/1/1.%20NORIHAN.pdf |
| _version_ | 1825950643791069184 |
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| author | Ismail, Nurul Syuhada Md. Arifin, Norihan Mohd Nazar, Roslinda Bachok @ Lati, Norfifah |
| author_facet | Ismail, Nurul Syuhada Md. Arifin, Norihan Mohd Nazar, Roslinda Bachok @ Lati, Norfifah |
| author_sort | Ismail, Nurul Syuhada |
| collection | UPM |
| description | This case study seeks to examine the fluid flow at stagnation-point over an exponentially permeable shrinking sheet towards suction. This work also investigate the heat transfer in the present of heat generation. By using an appropriate similarity transformation, we obtain ordinary differential equations by reduction of governing partial differential equation. We used commercially Maple software to obtain the numerical result. The effects of the parameters involve in this study are summarizes and thoroughly discussed. Remarkably, the dual solution is found at certain range of the shrinking sheet and suction parameters. Thus, this result is further performed to analyze its stability by using Matlab software. As expected, our study has proved that the first solution is stable while the second one is not. |
| first_indexed | 2024-03-06T10:17:45Z |
| format | Article |
| id | upm.eprints-76362 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:17:45Z |
| publishDate | 2019 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-763622020-02-04T03:59:30Z http://psasir.upm.edu.my/id/eprint/76362/ Stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation Ismail, Nurul Syuhada Md. Arifin, Norihan Mohd Nazar, Roslinda Bachok @ Lati, Norfifah This case study seeks to examine the fluid flow at stagnation-point over an exponentially permeable shrinking sheet towards suction. This work also investigate the heat transfer in the present of heat generation. By using an appropriate similarity transformation, we obtain ordinary differential equations by reduction of governing partial differential equation. We used commercially Maple software to obtain the numerical result. The effects of the parameters involve in this study are summarizes and thoroughly discussed. Remarkably, the dual solution is found at certain range of the shrinking sheet and suction parameters. Thus, this result is further performed to analyze its stability by using Matlab software. As expected, our study has proved that the first solution is stable while the second one is not. Institute for Mathematical Research, Universiti Putra Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/76362/1/1.%20NORIHAN.pdf Ismail, Nurul Syuhada and Md. Arifin, Norihan and Mohd Nazar, Roslinda and Bachok @ Lati, Norfifah (2019) Stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation. Malaysian Journal of Mathematical Sciences, 13 (2). pp. 107-122. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol13_2may/1.%20NORIHAN.pdf |
| spellingShingle | Ismail, Nurul Syuhada Md. Arifin, Norihan Mohd Nazar, Roslinda Bachok @ Lati, Norfifah Stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation |
| title | Stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation |
| title_full | Stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation |
| title_fullStr | Stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation |
| title_full_unstemmed | Stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation |
| title_short | Stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation |
| title_sort | stability analysis of stagnation point flow and heat transfer over an exponentially shrinking sheet with heat generation |
| url | http://psasir.upm.edu.my/id/eprint/76362/1/1.%20NORIHAN.pdf |
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