### Abstract

A mathematical model for the forced convection boundary-layer flow over a circular cylinder is considered when there is Newtonian heating on the surface of the cylinder through which the heat transfer is proportional to the local surface temperature. The dimensionless version of the boundary-layer equations involve two parameters, the Prandtl number σ and γ measuring the strength of the surface heating. The solution near the stagnation point is considered first and this reveals that, to get a physically acceptable solution, γ must be less than some critical value γ_{c}, dependent on σ. Numerical solutions to the full boundary-layer problem are obtained which show that the surface temperature increases as the flow develops from the stagnation point.

Original language | English |
---|---|

Pages (from-to) | 101-110 |

Number of pages | 10 |

Journal | Journal of Engineering Mathematics |

Volume | 69 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 2011 |

### Fingerprint

### Keywords

- Boundary-layer flow
- Circular cylinder
- Forced convection
- Newtonian heating
- Stagnation point flow

### ASJC Scopus subject areas

- Mathematics(all)
- Engineering(all)

### Cite this

*Journal of Engineering Mathematics*,

*69*(1), 101-110. https://doi.org/10.1007/s10665-010-9408-6

**Forced-convection heat transfer over a circular cylinder with Newtonian heating.** / Salleh, M. Z.; Mohd. Nazar, Roslinda; Arifin, N. M.; Pop, I.; Merkin, J. H.

Research output: Contribution to journal › Article

*Journal of Engineering Mathematics*, vol. 69, no. 1, pp. 101-110. https://doi.org/10.1007/s10665-010-9408-6

}

TY - JOUR

T1 - Forced-convection heat transfer over a circular cylinder with Newtonian heating

AU - Salleh, M. Z.

AU - Mohd. Nazar, Roslinda

AU - Arifin, N. M.

AU - Pop, I.

AU - Merkin, J. H.

PY - 2011/1

Y1 - 2011/1

N2 - A mathematical model for the forced convection boundary-layer flow over a circular cylinder is considered when there is Newtonian heating on the surface of the cylinder through which the heat transfer is proportional to the local surface temperature. The dimensionless version of the boundary-layer equations involve two parameters, the Prandtl number σ and γ measuring the strength of the surface heating. The solution near the stagnation point is considered first and this reveals that, to get a physically acceptable solution, γ must be less than some critical value γc, dependent on σ. Numerical solutions to the full boundary-layer problem are obtained which show that the surface temperature increases as the flow develops from the stagnation point.

AB - A mathematical model for the forced convection boundary-layer flow over a circular cylinder is considered when there is Newtonian heating on the surface of the cylinder through which the heat transfer is proportional to the local surface temperature. The dimensionless version of the boundary-layer equations involve two parameters, the Prandtl number σ and γ measuring the strength of the surface heating. The solution near the stagnation point is considered first and this reveals that, to get a physically acceptable solution, γ must be less than some critical value γc, dependent on σ. Numerical solutions to the full boundary-layer problem are obtained which show that the surface temperature increases as the flow develops from the stagnation point.

KW - Boundary-layer flow

KW - Circular cylinder

KW - Forced convection

KW - Newtonian heating

KW - Stagnation point flow

UR - http://www.scopus.com/inward/record.url?scp=78649855322&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649855322&partnerID=8YFLogxK

U2 - 10.1007/s10665-010-9408-6

DO - 10.1007/s10665-010-9408-6

M3 - Article

AN - SCOPUS:78649855322

VL - 69

SP - 101

EP - 110

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

IS - 1

ER -