Dual solutions of stagnation-point flow over an exponentially stretching/shrinking sheet in a porous medium with suction and velocity slip

A stability analysis

Anuar Jamaludin, Roslinda Mohd. Nazar

Research output: Contribution to journalConference article

Abstract

In this paper, we investigate the boundary layer flow near the stagnation-point region over an exponentially stretching/shrinking sheet with suction and velocity slip in a porous medium. The governing equations are first reduced to the ordinary differential equations with the help of similarity transformations. The obtained equations are then solved numerically using the bvp4c programme in MATLAB. It is observed that the ordinary differential equations have dual (first and second) solutions. The analysis of the results obtained reveals that as the porosity, suction and velocity slip parameters increase, the range in regards to the region of existence of dual solutions increases as well. Stability analysis is performed to determine the stability of the dual solutions obtained. The results indicate that the first solution is stable while the second solution is unstable.

Original languageEnglish
Article number012026
JournalJournal of Physics: Conference Series
Volume1212
Issue number1
DOIs
Publication statusPublished - 10 May 2019
Event14th International Symposium on Geometric Function Theory and Applications, GFTA 2018 - Selangor, Malaysia
Duration: 3 Dec 20185 Dec 2018

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stagnation point
suction
slip
differential equations
boundary layer flow
porosity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "In this paper, we investigate the boundary layer flow near the stagnation-point region over an exponentially stretching/shrinking sheet with suction and velocity slip in a porous medium. The governing equations are first reduced to the ordinary differential equations with the help of similarity transformations. The obtained equations are then solved numerically using the bvp4c programme in MATLAB. It is observed that the ordinary differential equations have dual (first and second) solutions. The analysis of the results obtained reveals that as the porosity, suction and velocity slip parameters increase, the range in regards to the region of existence of dual solutions increases as well. Stability analysis is performed to determine the stability of the dual solutions obtained. The results indicate that the first solution is stable while the second solution is unstable.",
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AB - In this paper, we investigate the boundary layer flow near the stagnation-point region over an exponentially stretching/shrinking sheet with suction and velocity slip in a porous medium. The governing equations are first reduced to the ordinary differential equations with the help of similarity transformations. The obtained equations are then solved numerically using the bvp4c programme in MATLAB. It is observed that the ordinary differential equations have dual (first and second) solutions. The analysis of the results obtained reveals that as the porosity, suction and velocity slip parameters increase, the range in regards to the region of existence of dual solutions increases as well. Stability analysis is performed to determine the stability of the dual solutions obtained. The results indicate that the first solution is stable while the second solution is unstable.

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