Unsteady stagnation-point flow and heat transfer of a special third grade fluid past a permeable stretching/shrinking sheet

Kohilavani Naganthran, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In this paper, the unsteady stagnation-point boundary layer flow and heat transfer of a special third grade fluid past a permeable stretching/shrinking sheet has been studied. Similarity transformation is used to transform the system of boundary layer equations which is in the form of partial differential equations into a system of ordinary differential equations. The system of similarity equations is then reduced to a system of first order differential equations and has been solved numerically by using the bvp4c function in Matlab. The numerical solutions for the skin friction coefficient and heat transfer coefficient as well as the velocity and temperature profiles are presented in the forms of tables and graphs. Dual solutions exist for both cases of stretching and shrinking sheet. Stability analysis is performed to determine which solution is stable and valid physically. Results from the stability analysis depict that the first solution (upper branch) is stable and physically realizable, while the second solution (lower branch) is unstable.

Original languageEnglish
Article number24632
JournalScientific Reports
Volume6
DOIs
Publication statusPublished - 19 Apr 2016

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Stretching
Heat transfer
Fluids
Skin friction
Boundary layer flow
Ordinary differential equations
Heat transfer coefficients
Partial differential equations
Boundary layers
Differential equations
Temperature

ASJC Scopus subject areas

  • General

Cite this

Unsteady stagnation-point flow and heat transfer of a special third grade fluid past a permeable stretching/shrinking sheet. / Naganthran, Kohilavani; Mohd. Nazar, Roslinda; Pop, Ioan.

In: Scientific Reports, Vol. 6, 24632, 19.04.2016.

Research output: Contribution to journalArticle

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