Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet

Norfifah Bachok, Anuar Mohd Ishak

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This paper presents a numerical analysis of a stagnation-point flow towards a nonlinearly stretching/shrinking sheet immersed in a viscous fluid. The stretching/shrinking velocity and the external flow velocity impinges normal to the stretching/shrinking sheet are assumed to be in the form U ∼ x m, where m is a constant and x is the distance from the stagnation point. The governing partial differential equations are converted into ordinary ones by a similarity transformation, before being solved numerically. The variations of the skin friction coefficient and the heat transfer rate at the surface with the governing parameters are graphed and tabulated. Different from a stretching sheet, it is found that the solutions for a shrinking sheet are non-unique for m > 1/3.

Original languageEnglish
Pages (from-to)1297-1300
Number of pages4
JournalSains Malaysiana
Volume40
Issue number11
Publication statusPublished - Nov 2011

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Stretching
Heat transfer
Skin friction
Flow velocity
Partial differential equations
Numerical analysis
Fluids

Keywords

  • Boundary layer
  • Dual solutions
  • Nonlinear stretching/shrinking
  • Similarity solution

ASJC Scopus subject areas

  • General

Cite this

Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet. / Bachok, Norfifah; Mohd Ishak, Anuar.

In: Sains Malaysiana, Vol. 40, No. 11, 11.2011, p. 1297-1300.

Research output: Contribution to journalArticle

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