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

Shahirah Abu Bakar, Norihan Md Arifin, Fadzilah Md Ali, Norfifah Bachok, Roslinda Mohd. Nazar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationProceedings of the 24th National Symposium on Mathematical Sciences
Subtitle of host publicationMathematical Sciences Exploration for the Universal Preservation, SKSM 2016
PublisherAmerican Institute of Physics Inc.
Volume1870
ISBN (Electronic)9780735415508
DOIs
Publication statusPublished - 7 Aug 2017
Event24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016 - Kuala Terengganu, Terengganu, Malaysia
Duration: 27 Sep 201629 Sep 2016

Other

Other24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016
CountryMalaysia
CityKuala Terengganu, Terengganu
Period27/9/1629/9/16

Fingerprint

slip flow
stagnation point
forced convection
boundary layers
partial differential equations
differential equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Bakar, S. A., Arifin, N. M., Ali, F. M., Bachok, N., & Mohd. Nazar, R. (2017). A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet. In Proceedings of the 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016 (Vol. 1870). [040074] American Institute of Physics Inc.. https://doi.org/10.1063/1.4995906

A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet. / Bakar, Shahirah Abu; Arifin, Norihan Md; Ali, Fadzilah Md; Bachok, Norfifah; Mohd. Nazar, Roslinda.

Proceedings of the 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016. Vol. 1870 American Institute of Physics Inc., 2017. 040074.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bakar, SA, Arifin, NM, Ali, FM, Bachok, N & Mohd. Nazar, R 2017, A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet. in Proceedings of the 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016. vol. 1870, 040074, American Institute of Physics Inc., 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016, Kuala Terengganu, Terengganu, Malaysia, 27/9/16. https://doi.org/10.1063/1.4995906
Bakar SA, Arifin NM, Ali FM, Bachok N, Mohd. Nazar R. A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet. In Proceedings of the 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016. Vol. 1870. American Institute of Physics Inc. 2017. 040074 https://doi.org/10.1063/1.4995906
Bakar, Shahirah Abu ; Arifin, Norihan Md ; Ali, Fadzilah Md ; Bachok, Norfifah ; Mohd. Nazar, Roslinda. / A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet. Proceedings of the 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016. Vol. 1870 American Institute of Physics Inc., 2017.
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