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A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet


Citation

Abu Bakar, Shahirah and Md. Arifin, Norihan and Md. Ali, Fadzilah and Bachok @ Lati, Norfifah and Mohd Nazar, Roslinda (2016) A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-7).

Abstract / Synopsis

The stagnation-point flow over a shrinking sheet in Darcy-Forchheimer porous medium is numerically studied. The governing partial differential equations are transformed into ordinary differential equations using a similarity transformation, and then solved numerically by using shooting technique method with Maple implementation. Dual solutions are observed in a certain range of the shrinking parameter. Regarding on numerical solutions, we prepared stability analysis to identify which solution is stable between non-unique solutions by bvp4c solver in Matlab. Further we obtain numerical results or each solution, which enable us to discuss the features of the respective solutions.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4995906
Publisher: AIP Publishing
Keywords: Stagnation-point flow; Shrinking sheet; Darcy-Forchheimer porous medium; Stability analysis
Depositing User: Nabilah Mustapa
Date Deposited: 27 Sep 2017 06:37
Last Modified: 27 Sep 2017 06:37
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995906
URI: http://psasir.upm.edu.my/id/eprint/57373
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