### Abstract

The steady mixed convection boundary-layer flow of an incompressible viscous fluid about a solid sphere with constant surface temperature is considered for both aiding and opposing flow cases. The transformed conservation equations of the non-similar boundary-layers are solved numerically using a very efficient finite-difference method known as Keller-box scheme. Numerical results are presented for different values of the mixed convection parameter λ, with the Prandtl number Pr = 0.7 (air) and Pr = 6.8 (water at 21°C), respectively. It is found that aiding flow (λ > 0) delays separation of the boundary-layer and can, if the aiding flow is strong enough, suppress it completely. The opposing flow (λ < 0), on the other hand, brings the separation point nearer to the lower stagnation point of the sphere and for sufficiently strong opposing flows there will not be a boundary-layer on the sphere. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future.

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

Pages (from-to) | 117-135 |

Number of pages | 19 |

Journal | Arabian Journal for Science and Engineering |

Volume | 27 |

Issue number | 2 C |

Publication status | Published - Dec 2002 |

Externally published | Yes |

### Fingerprint

### Keywords

- Boundary-layer
- Constant surface temperature
- Mixed convection
- Numerical results

### ASJC Scopus subject areas

- General

### Cite this

*Arabian Journal for Science and Engineering*,

*27*(2 C), 117-135.

**On the mixed convection boundary-layer flow about a solid sphere with constant surface temperature.** / Mohd. Nazar, Roslinda; Amin, N.; Pop, I.

Research output: Contribution to journal › Article

*Arabian Journal for Science and Engineering*, vol. 27, no. 2 C, pp. 117-135.

}

TY - JOUR

T1 - On the mixed convection boundary-layer flow about a solid sphere with constant surface temperature

AU - Mohd. Nazar, Roslinda

AU - Amin, N.

AU - Pop, I.

PY - 2002/12

Y1 - 2002/12

N2 - The steady mixed convection boundary-layer flow of an incompressible viscous fluid about a solid sphere with constant surface temperature is considered for both aiding and opposing flow cases. The transformed conservation equations of the non-similar boundary-layers are solved numerically using a very efficient finite-difference method known as Keller-box scheme. Numerical results are presented for different values of the mixed convection parameter λ, with the Prandtl number Pr = 0.7 (air) and Pr = 6.8 (water at 21°C), respectively. It is found that aiding flow (λ > 0) delays separation of the boundary-layer and can, if the aiding flow is strong enough, suppress it completely. The opposing flow (λ < 0), on the other hand, brings the separation point nearer to the lower stagnation point of the sphere and for sufficiently strong opposing flows there will not be a boundary-layer on the sphere. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future.

AB - The steady mixed convection boundary-layer flow of an incompressible viscous fluid about a solid sphere with constant surface temperature is considered for both aiding and opposing flow cases. The transformed conservation equations of the non-similar boundary-layers are solved numerically using a very efficient finite-difference method known as Keller-box scheme. Numerical results are presented for different values of the mixed convection parameter λ, with the Prandtl number Pr = 0.7 (air) and Pr = 6.8 (water at 21°C), respectively. It is found that aiding flow (λ > 0) delays separation of the boundary-layer and can, if the aiding flow is strong enough, suppress it completely. The opposing flow (λ < 0), on the other hand, brings the separation point nearer to the lower stagnation point of the sphere and for sufficiently strong opposing flows there will not be a boundary-layer on the sphere. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future.

KW - Boundary-layer

KW - Constant surface temperature

KW - Mixed convection

KW - Numerical results

UR - http://www.scopus.com/inward/record.url?scp=0037505579&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037505579&partnerID=8YFLogxK

M3 - Article

VL - 27

SP - 117

EP - 135

JO - Arabian Journal for Science and Engineering

JF - Arabian Journal for Science and Engineering

SN - 1319-8025

IS - 2 C

ER -