Unsteady boundary layer flow of a casson fluid past a permeable stretching/shrinking sheet

Paired solutions and stability analysis

Kohilavani Naganthran, Roslinda Mohd. Nazar

Research output: Contribution to journalConference article

Abstract

This paper discusses the numerical solutions of the unsteady Casson fluid flow over a permeable stretching/shrinking sheet. The suitable similarity transformations are implemented to transform the governing partial differential equations into ordinary differential equations, and those are then solved numerically by the MATLAB solver bvp4c function. The effects of the governing parameters on the velocity distributions and the reduced skin friction coefficients are given in the form of graph and examined thoroughly. The existence of paired solutions is identified, and the stability analysis revealed that the upper branch solution is stable while the lower branch solution is unstable.

Original languageEnglish
Article number012028
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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boundary layer flow
fluids
skin friction
partial differential equations
coefficient of friction
fluid flow
differential equations
velocity distribution

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Unsteady boundary layer flow of a casson fluid past a permeable stretching/shrinking sheet : Paired solutions and stability analysis. / Naganthran, Kohilavani; Mohd. Nazar, Roslinda.

In: Journal of Physics: Conference Series, Vol. 1212, No. 1, 012028, 10.05.2019.

Research output: Contribution to journalConference article

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