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Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis

Numerical solutions for the stagnation-point flow and heat transfer over an exponentially shrinking sheet have been investigated. The governing boundary layer equations are transformed into an ordinary differential equation using a non-similar transformation. By using the bvp4c solver in MATLAB, the...

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Main Authors: Ismail, Nurul Syuhada, Md. Arifin, Norihan, Bachok @ Lati, Norfifah, Mahiddin, Norhasimah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57160/1/Stagnation-point%20flow%20and%20heat%20transfer%20over%20an%20exponentially%20shrinking%20sheet%20a%20stability%20analysis.pdf
http://psasir.upm.edu.my/id/eprint/57160/
http://aip.scitation.org/doi/abs/10.1063/1.4952503
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spelling my.upm.eprints.571602017-09-08T05:20:55Z http://psasir.upm.edu.my/id/eprint/57160/ Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis Ismail, Nurul Syuhada Md. Arifin, Norihan Bachok @ Lati, Norfifah Mahiddin, Norhasimah Numerical solutions for the stagnation-point flow and heat transfer over an exponentially shrinking sheet have been investigated. The governing boundary layer equations are transformed into an ordinary differential equation using a non-similar transformation. By using the bvp4c solver in MATLAB, the results of the equations can be solved numerically. Numerical results indicate that in certain parameter, the non-unique solutions for the velocity and the temperature do exist. A linear stability analysis shows that only one solution is linearly stable otherwise is unstable. Then, the stability analysis is performed to identify which solution is stable between the two non-unique solutions. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57160/1/Stagnation-point%20flow%20and%20heat%20transfer%20over%20an%20exponentially%20shrinking%20sheet%20a%20stability%20analysis.pdf Ismail, Nurul Syuhada and Md. Arifin, Norihan and Bachok @ Lati, Norfifah and Mahiddin, Norhasimah (2016) Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-7). http://aip.scitation.org/doi/abs/10.1063/1.4952503 10.1063/1.4952503
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 Numerical solutions for the stagnation-point flow and heat transfer over an exponentially shrinking sheet have been investigated. The governing boundary layer equations are transformed into an ordinary differential equation using a non-similar transformation. By using the bvp4c solver in MATLAB, the results of the equations can be solved numerically. Numerical results indicate that in certain parameter, the non-unique solutions for the velocity and the temperature do exist. A linear stability analysis shows that only one solution is linearly stable otherwise is unstable. Then, the stability analysis is performed to identify which solution is stable between the two non-unique solutions.
format Conference or Workshop Item
author Ismail, Nurul Syuhada
Md. Arifin, Norihan
Bachok @ Lati, Norfifah
Mahiddin, Norhasimah
spellingShingle Ismail, Nurul Syuhada
Md. Arifin, Norihan
Bachok @ Lati, Norfifah
Mahiddin, Norhasimah
Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis
author_facet Ismail, Nurul Syuhada
Md. Arifin, Norihan
Bachok @ Lati, Norfifah
Mahiddin, Norhasimah
author_sort Ismail, Nurul Syuhada
title Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis
title_short Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis
title_full Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis
title_fullStr Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis
title_full_unstemmed Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis
title_sort stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/57160/1/Stagnation-point%20flow%20and%20heat%20transfer%20over%20an%20exponentially%20shrinking%20sheet%20a%20stability%20analysis.pdf
http://psasir.upm.edu.my/id/eprint/57160/
http://aip.scitation.org/doi/abs/10.1063/1.4952503
_version_ 1643836403140788224
score 13.211869

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