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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...

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Main Authors: Ismail, Nurul Syuhada, Md. Arifin, Norihan, Mohd Nazar, Roslinda, Bachok @ Lati, Norfifah
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2019
Online Access:http://psasir.upm.edu.my/id/eprint/76362/1/1.%20NORIHAN.pdf
http://psasir.upm.edu.my/id/eprint/76362/
http://einspem.upm.edu.my/journal/fullpaper/vol13_2may/1.%20NORIHAN.pdf
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spelling my.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Ismail, Nurul Syuhada
Md. Arifin, Norihan
Mohd Nazar, Roslinda
Bachok @ Lati, Norfifah
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
author_facet Ismail, Nurul Syuhada
Md. Arifin, Norihan
Mohd Nazar, Roslinda
Bachok @ Lati, Norfifah
author_sort Ismail, Nurul Syuhada
title 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_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_sort stability analysis of stagnation-point flow and heat transfer over an exponentially shrinking sheet with heat generation
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/76362/1/1.%20NORIHAN.pdf
http://psasir.upm.edu.my/id/eprint/76362/
http://einspem.upm.edu.my/journal/fullpaper/vol13_2may/1.%20NORIHAN.pdf
_version_ 1662756513622523904
score 13.211869

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