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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

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.

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Abstract

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.

Item Type:Conference or Workshop Item (Paper)
Keyword:Stagnation-point flow; Shrinking sheet; Darcy-Forchheimer porous medium; Stability analysis
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:AIP Publishing
DOI Number:10.1063/1.4995906
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995906
ID Code:57373
Deposited By: Nabilah Mustapa
Deposited On:27 Sep 2017 14:37
Last Modified:27 Sep 2017 14:37

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