### Abstract

The steady laminar flow caused by a stretching cylinder immersed in an incompressible viscous fluid with prescribed surface heat flux is investigated. The governing partial differential boundary layer equations in cylindrical form are first transformed into ordinary differential equations before being solved numerically by a finite-difference method. The problem under consideration reduces to the flat plate case when the curvature parameter is absent, and thus the results obtained can be compared with that case which is available in the literature as well as the exact solution, and found to be in good agreement. The solutions for the heat transfer characteristics are evaluated numerically for different parameters, such as the curvature parameter g, and the Prandtl number Pr. It is observed that the surface shear stress and the heat transfer rate at the surface increase as the curvature parameter increases.

Original language | English |
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Pages (from-to) | 159-169 |

Number of pages | 11 |

Journal | Malaysian Journal of Mathematical Sciences |

Volume | 4 |

Issue number | 2 |

Publication status | Published - Jul 2010 |

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### Keywords

- Boundary layer
- Fluid mechanics
- Heat transfer
- Stretching cylinder

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Malaysian Journal of Mathematical Sciences*,

*4*(2), 159-169.

**Flow and heat transfer over a stretching cylinder with prescribed surface heat flux.** / Bachok, Norfifah; Mohd Ishak, Anuar.

Research output: Contribution to journal › Article

*Malaysian Journal of Mathematical Sciences*, vol. 4, no. 2, pp. 159-169.

}

TY - JOUR

T1 - Flow and heat transfer over a stretching cylinder with prescribed surface heat flux

AU - Bachok, Norfifah

AU - Mohd Ishak, Anuar

PY - 2010/7

Y1 - 2010/7

N2 - The steady laminar flow caused by a stretching cylinder immersed in an incompressible viscous fluid with prescribed surface heat flux is investigated. The governing partial differential boundary layer equations in cylindrical form are first transformed into ordinary differential equations before being solved numerically by a finite-difference method. The problem under consideration reduces to the flat plate case when the curvature parameter is absent, and thus the results obtained can be compared with that case which is available in the literature as well as the exact solution, and found to be in good agreement. The solutions for the heat transfer characteristics are evaluated numerically for different parameters, such as the curvature parameter g, and the Prandtl number Pr. It is observed that the surface shear stress and the heat transfer rate at the surface increase as the curvature parameter increases.

AB - The steady laminar flow caused by a stretching cylinder immersed in an incompressible viscous fluid with prescribed surface heat flux is investigated. The governing partial differential boundary layer equations in cylindrical form are first transformed into ordinary differential equations before being solved numerically by a finite-difference method. The problem under consideration reduces to the flat plate case when the curvature parameter is absent, and thus the results obtained can be compared with that case which is available in the literature as well as the exact solution, and found to be in good agreement. The solutions for the heat transfer characteristics are evaluated numerically for different parameters, such as the curvature parameter g, and the Prandtl number Pr. It is observed that the surface shear stress and the heat transfer rate at the surface increase as the curvature parameter increases.

KW - Boundary layer

KW - Fluid mechanics

KW - Heat transfer

KW - Stretching cylinder

UR - http://www.scopus.com/inward/record.url?scp=78149290345&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78149290345&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:78149290345

VL - 4

SP - 159

EP - 169

JO - Malaysian Journal of Mathematical Sciences

JF - Malaysian Journal of Mathematical Sciences

SN - 1823-8343

IS - 2

ER -