Stability analysis of MHD stagnation-point flow towards a permeable stretching/shrinking surface in a Carreau fluid

Kohilavani Naganthran, Roslinda Mohd. Nazar

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

2 Citations (Scopus)

Abstract

In this study, the magnetohydrodynamics (MHD) stagnation-point boundary layer flow of a Carreau fluid towards a permeable stretching/shrinking surface (sheet) is considered. The governing boundary layer equations in the form of nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations by using the similarity transformations, so that they can be solved numerically by the bvp4c function (programme) in Matlab software. The variations of the numerical solutions for the skin friction coefficients as well as the velocity profiles are obtained for several values of the governing parameters. It is found that dual solutions exist when the sheet is stretched and shrunk. Stability analysis is performed to determine which solution is stable and valid physically. Results from the stability analysis show that the first solution (upper branch) is stable and physically realizable, while the second solution (lower branch) is unstable.

Original languageEnglish
Title of host publicationAdvances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015
PublisherAmerican Institute of Physics Inc.
Volume1750
ISBN (Electronic)9780735414075
DOIs
Publication statusPublished - 21 Jun 2016
Event23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015 - Johor Bahru, Malaysia
Duration: 24 Nov 201526 Nov 2015

Other

Other23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015
CountryMalaysia
CityJohor Bahru
Period24/11/1526/11/15

Fingerprint

stagnation point
magnetohydrodynamics
fluids
boundary layer equations
skin friction
boundary layer flow
partial differential equations
coefficient of friction
differential equations
velocity distribution
computer programs

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Naganthran, K., & Mohd. Nazar, R. (2016). Stability analysis of MHD stagnation-point flow towards a permeable stretching/shrinking surface in a Carreau fluid. In Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015 (Vol. 1750). [030031] American Institute of Physics Inc.. https://doi.org/10.1063/1.4954567

Stability analysis of MHD stagnation-point flow towards a permeable stretching/shrinking surface in a Carreau fluid. / Naganthran, Kohilavani; Mohd. Nazar, Roslinda.

Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015. Vol. 1750 American Institute of Physics Inc., 2016. 030031.

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

Naganthran, K & Mohd. Nazar, R 2016, Stability analysis of MHD stagnation-point flow towards a permeable stretching/shrinking surface in a Carreau fluid. in Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015. vol. 1750, 030031, American Institute of Physics Inc., 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, Johor Bahru, Malaysia, 24/11/15. https://doi.org/10.1063/1.4954567
Naganthran K, Mohd. Nazar R. Stability analysis of MHD stagnation-point flow towards a permeable stretching/shrinking surface in a Carreau fluid. In Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015. Vol. 1750. American Institute of Physics Inc. 2016. 030031 https://doi.org/10.1063/1.4954567
Naganthran, Kohilavani ; Mohd. Nazar, Roslinda. / Stability analysis of MHD stagnation-point flow towards a permeable stretching/shrinking surface in a Carreau fluid. Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015. Vol. 1750 American Institute of Physics Inc., 2016.
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