Numerical solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet with chemical reaction and transpiration

Kohilavani Naganthran, Roslinda Mohd. Nazar

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

1 Citation (Scopus)

Abstract

In this study, the influence of the first order chemical reaction towards the magnetohydrodynamics (MHD) stagnation-point boundary layer flow past a permeable stretching/shrinking surface (sheet) is considered numerically. The governing boundary layer equations are transformed into a system of ordinary differential equations from the system of partial differential equations by using a proper similarity transformation so that it can be solved numerically by the "bvp4c" function in Matlab software. The main numerical solutions are presented graphically and discussed in the relevance of the governing parameters. It is found that dual solutions exist when the sheet is stretched and shrunk. Stability analysis is done to determine which solution is stable and valid physically. The results of the stability analysis show that the first solution (upper branch) is physically stable and realizable while the second solution (lower branch) is impracticable.

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

transpiration
stagnation point
magnetohydrodynamics
chemical reactions
heat transfer
boundary layer equations
boundary layer flow
partial differential equations
differential equations
computer programs

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Naganthran, K., & Mohd. Nazar, R. (2017). Numerical solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet with chemical reaction and transpiration. In Proceedings of the 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016 (Vol. 1870). [040036] American Institute of Physics Inc.. https://doi.org/10.1063/1.4995868

Numerical solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet with chemical reaction and transpiration. / Naganthran, Kohilavani; 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. 040036.

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

Naganthran, K & Mohd. Nazar, R 2017, Numerical solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet with chemical reaction and transpiration. in Proceedings of the 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016. vol. 1870, 040036, 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/10.1063/1.4995868
Naganthran K, Mohd. Nazar R. Numerical solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet with chemical reaction and transpiration. 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. 040036 https://doi.org/10.1063/1.4995868
Naganthran, Kohilavani ; Mohd. Nazar, Roslinda. / Numerical solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet with chemical reaction and transpiration. 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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