Stability analysis of magnetohydrodynamic stagnation-point flow over a nonlinearly permeable stretching/shrinking sheet with velocity slip

Anuar Jamaludin, Roslinda Nazar

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

Abstract

This study presented the numerical solutions of two-dimensional stagnation-point flow in an incompressible electrically conducting viscous fluid, over a nonlinearly stretching/shrinking sheet, with suction, magnetic field and velocity slip effects. The governing partial differential equations were first reduced to the ordinary differential equations, using the similarity transformations, and the obtained equations were then solved numerically using the bvp4c programme in MATLAB. It was found that there existed dual (first and second) solutions in a certain range of the shrinking case. Stability analysis was employed to identify which solution is stable. The results showed that the first solution was stable, while the second solution was unstable. In addition, the study established that the presence of magnetic, nonlinearity and velocity slip effects could delay the separation of boundary layer.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018
Subtitle of host publicationInnovative Technologies for Mathematics and Mathematics for Technological Innovation
EditorsYazariah Mohd Yatim, Syakila Ahmad, Mohd Tahir Ismail, Majid Khan Majahar Ali, Rosmanjawati Abdul Rahman, Hajar Sulaiman, Norshafira Ramli, Noor Atinah Ahmad, Farah Aini Abdullah
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419315
DOIs
Publication statusPublished - 4 Dec 2019
Event1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018 - Penang, Malaysia
Duration: 10 Dec 201812 Dec 2018

Publication series

NameAIP Conference Proceedings
Volume2184
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018
CountryMalaysia
CityPenang
Period10/12/1812/12/18

Fingerprint

stagnation point
magnetohydrodynamics
slip
suction
viscous fluids
partial differential equations
boundary layers
differential equations
nonlinearity
conduction
magnetic fields

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Jamaludin, A., & Nazar, R. (2019). Stability analysis of magnetohydrodynamic stagnation-point flow over a nonlinearly permeable stretching/shrinking sheet with velocity slip. In Y. M. Yatim, S. Ahmad, M. T. Ismail, M. K. M. Ali, R. A. Rahman, H. Sulaiman, N. Ramli, N. A. Ahmad, ... F. A. Abdullah (Eds.), Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation [060024] (AIP Conference Proceedings; Vol. 2184). American Institute of Physics Inc.. https://doi.org/10.1063/1.5136456

Stability analysis of magnetohydrodynamic stagnation-point flow over a nonlinearly permeable stretching/shrinking sheet with velocity slip. / Jamaludin, Anuar; Nazar, Roslinda.

Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation. ed. / Yazariah Mohd Yatim; Syakila Ahmad; Mohd Tahir Ismail; Majid Khan Majahar Ali; Rosmanjawati Abdul Rahman; Hajar Sulaiman; Norshafira Ramli; Noor Atinah Ahmad; Farah Aini Abdullah. American Institute of Physics Inc., 2019. 060024 (AIP Conference Proceedings; Vol. 2184).

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

Jamaludin, A & Nazar, R 2019, Stability analysis of magnetohydrodynamic stagnation-point flow over a nonlinearly permeable stretching/shrinking sheet with velocity slip. in YM Yatim, S Ahmad, MT Ismail, MKM Ali, RA Rahman, H Sulaiman, N Ramli, NA Ahmad & FA Abdullah (eds), Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation., 060024, AIP Conference Proceedings, vol. 2184, American Institute of Physics Inc., 1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018, Penang, Malaysia, 10/12/18. https://doi.org/10.1063/1.5136456
Jamaludin A, Nazar R. Stability analysis of magnetohydrodynamic stagnation-point flow over a nonlinearly permeable stretching/shrinking sheet with velocity slip. In Yatim YM, Ahmad S, Ismail MT, Ali MKM, Rahman RA, Sulaiman H, Ramli N, Ahmad NA, Abdullah FA, editors, Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation. American Institute of Physics Inc. 2019. 060024. (AIP Conference Proceedings). https://doi.org/10.1063/1.5136456
Jamaludin, Anuar ; Nazar, Roslinda. / Stability analysis of magnetohydrodynamic stagnation-point flow over a nonlinearly permeable stretching/shrinking sheet with velocity slip. Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation. editor / Yazariah Mohd Yatim ; Syakila Ahmad ; Mohd Tahir Ismail ; Majid Khan Majahar Ali ; Rosmanjawati Abdul Rahman ; Hajar Sulaiman ; Norshafira Ramli ; Noor Atinah Ahmad ; Farah Aini Abdullah. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).
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