Dual solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a porous medium

Kohilavani Naganthran, Roslinda Mohd. Nazar

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

1 Citation (Scopus)

Abstract

In this paper, the magnetohydrodynamics (MHD) stagnation-point flow and heat transfer past a permeable stretching/shrinking sheet in a porous medium is studied numerically. Similarity transformation has been used to transform the governing boundary layer equations to a system of ordinary differential equations from the system of partial differential equations and further solved by the numerical Matlab solver "bvp4c" function. The numerical solutions are illustrated graphically and discussed in the relevance of the governing parameters. It is found that the dual solutions occur 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 stable while the second solution (lower branch) is unstable and may not be physically feasible in practice.

Original languageEnglish
Title of host publication4th International Conference on Mathematical Sciences - Mathematical Sciences
Subtitle of host publicationChampioning the Way in a Problem Based and Data Driven Society, ICMS 2016
PublisherAmerican Institute of Physics Inc.
Volume1830
ISBN (Electronic)9780735414983
DOIs
Publication statusPublished - 27 Apr 2017
Event4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 - Putrajaya, Malaysia
Duration: 15 Nov 201617 Nov 2016

Other

Other4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016
CountryMalaysia
CityPutrajaya
Period15/11/1617/11/16

Fingerprint

stagnation point
magnetohydrodynamics
heat transfer
boundary layer equations
partial differential equations
differential equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Naganthran, K., & Mohd. Nazar, R. (2017). Dual solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a porous medium. In 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 (Vol. 1830). [020038] American Institute of Physics Inc.. https://doi.org/10.1063/1.4980901

Dual solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a porous medium. / Naganthran, Kohilavani; Mohd. Nazar, Roslinda.

4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830 American Institute of Physics Inc., 2017. 020038.

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

Naganthran, K & Mohd. Nazar, R 2017, Dual solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a porous medium. in 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. vol. 1830, 020038, American Institute of Physics Inc., 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016, Putrajaya, Malaysia, 15/11/16. https://doi.org/10.1063/1.4980901
Naganthran K, Mohd. Nazar R. Dual solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a porous medium. In 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830. American Institute of Physics Inc. 2017. 020038 https://doi.org/10.1063/1.4980901
Naganthran, Kohilavani ; Mohd. Nazar, Roslinda. / Dual solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a porous medium. 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830 American Institute of Physics Inc., 2017.
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