# Stagnation-point flow towards a stretching vertical sheet with slip effects

Khairy Zaimi, Anuar Mohd Ishak

Research output: Contribution to journalArticle

7 Citations (Scopus)

### Abstract

The effects of partial slip on stagnation-point flow and heat transfer due to a stretching vertical sheet is investigated. Using a similarity transformation, the governing partial differential equations are reduced into a system of nonlinear ordinary differential equations. The resulting equations are solved numerically using a shooting method. The effect of slip and buoyancy parameters on the velocity, temperature, skin friction coefficient and the local Nusselt number are graphically presented and discussed. It is found that dual solutions exist in a certain range of slip and buoyancy parameters. The skin friction coefficient decreases while the Nusselt number increases as the slip parameter increases.

Original language English 27 Mathematics 4 2 https://doi.org/10.3390/math4020027 Published - 1 Jun 2016

### Fingerprint

Stagnation Point Flow
Slip
Skin Friction
Vertical
Nusselt number
Buoyancy
Friction Coefficient
Partial Slip
Dual Solutions
Shooting Method
Similarity Transformation
Nonlinear Ordinary Differential Equations
Heat Transfer
Partial differential equation
Decrease
Range of data

### Keywords

• Partial slip
• Stagnation-point flow
• Stretching sheet

### ASJC Scopus subject areas

• Mathematics(all)

### Cite this

In: Mathematics, Vol. 4, No. 2, 27, 01.06.2016.

Research output: Contribution to journalArticle

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AB - The effects of partial slip on stagnation-point flow and heat transfer due to a stretching vertical sheet is investigated. Using a similarity transformation, the governing partial differential equations are reduced into a system of nonlinear ordinary differential equations. The resulting equations are solved numerically using a shooting method. The effect of slip and buoyancy parameters on the velocity, temperature, skin friction coefficient and the local Nusselt number are graphically presented and discussed. It is found that dual solutions exist in a certain range of slip and buoyancy parameters. The skin friction coefficient decreases while the Nusselt number increases as the slip parameter increases.

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