# Axisymmetric stagnation-point flow and heat transfer due to a stretching/shrinking vertical plate with surface second-order velocity slip

Siti Khuzaimah Soid, John Merkin, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

10 Citations (Scopus)

### Abstract

The axisymmetric stagnation-point flow over a stretching/shrinking vertical surface with a second-order velocity slip and temperature jump is studied. By using a transformation of variables, the partial differential equations are transformed into ordinary (similarity) differential equations. These equations, along with the corresponding boundary conditions, are solved numerically using the boundary-value problems solver bvp4c in the Matlab software. Dual (first and second) solutions are found for these similarity equations arising from critical values of the dimensionless parameters. The effects of these parameters on the velocity and the temperature distributions as well as the skin friction coefficient and the Nusselt number are discussed. The dependence of the critical points on the governing parameters is also treated with the asymptotic nature of the solution for large values of the parameters being derived.

Original language English 1-13 13 Meccanica https://doi.org/10.1007/s11012-016-0409-z Accepted/In press - 5 Apr 2016

### Fingerprint

stagnation point
Stretching
slip
heat transfer
Heat transfer
Skin friction
Nusselt number
Ordinary differential equations
Boundary value problems
Partial differential equations
Temperature distribution
Boundary conditions
skin friction
boundary value problems
partial differential equations
coefficient of friction
critical point
temperature distribution
differential equations
boundary conditions

### Keywords

• Axisymmetric stagnation-point flow
• Dual solutions
• Second-order velocity slip
• Stretching/shrinking surface
• Temperature jump

### ASJC Scopus subject areas

• Mechanical Engineering
• Mechanics of Materials
• Condensed Matter Physics

### Cite this

Axisymmetric stagnation-point flow and heat transfer due to a stretching/shrinking vertical plate with surface second-order velocity slip. / Soid, Siti Khuzaimah; Merkin, John; Mohd Ishak, Anuar; Pop, Ioan.

In: Meccanica, 05.04.2016, p. 1-13.

Research output: Contribution to journalArticle

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