# 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 language English 1297-1300 4 Sains Malaysiana 40 11 Published - Nov 2011

### Fingerprint

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

### Keywords

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

• General

### Cite this

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

Research output: Contribution to journalArticle

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