### Abstract

The steady mixed convection boundary-layer flow of a nanofluid about a solid sphere with constant surface temperature has been studied for cases of both assisting and opposing flows. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller-box method. The solutions for the flow and heat-transfer characteristics are evaluated numerically for various values of the parameters, namely the nanoparticle volume fraction φ and the mixed convection parameter λ at Prandtl numbers Pr=0.7 and 6.2. The three different types of nanoparticles considered are Al_{2}O_{3}, Cu and TiO_{2}, using water-based fluid with Pr=6.2. It is found that for each particular nanoparticle, as the nanoparticle volume fraction φ increases, the skin friction coefficient and the heat-transfer rate at the surface also increase. This leads to an increase in the value of the mixed convection parameter λ, which at first gives no separation.

Original language | English |
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Article number | 025403 |

Journal | Physica Scripta |

Volume | 84 |

Issue number | 2 |

DOIs | |

Publication status | Published - Aug 2011 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Atomic and Molecular Physics, and Optics
- Mathematical Physics

### Cite this

*Physica Scripta*,

*84*(2), [025403]. https://doi.org/10.1088/0031-8949/84/02/025403

**Mixed convection boundary-layer flow about an isothermal solid sphere in a nanofluid.** / Tham, L.; Mohd. Nazar, Roslinda; Pop, I.

Research output: Contribution to journal › Article

*Physica Scripta*, vol. 84, no. 2, 025403. https://doi.org/10.1088/0031-8949/84/02/025403

}

TY - JOUR

T1 - Mixed convection boundary-layer flow about an isothermal solid sphere in a nanofluid

AU - Tham, L.

AU - Mohd. Nazar, Roslinda

AU - Pop, I.

PY - 2011/8

Y1 - 2011/8

N2 - The steady mixed convection boundary-layer flow of a nanofluid about a solid sphere with constant surface temperature has been studied for cases of both assisting and opposing flows. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller-box method. The solutions for the flow and heat-transfer characteristics are evaluated numerically for various values of the parameters, namely the nanoparticle volume fraction φ and the mixed convection parameter λ at Prandtl numbers Pr=0.7 and 6.2. The three different types of nanoparticles considered are Al2O3, Cu and TiO2, using water-based fluid with Pr=6.2. It is found that for each particular nanoparticle, as the nanoparticle volume fraction φ increases, the skin friction coefficient and the heat-transfer rate at the surface also increase. This leads to an increase in the value of the mixed convection parameter λ, which at first gives no separation.

AB - The steady mixed convection boundary-layer flow of a nanofluid about a solid sphere with constant surface temperature has been studied for cases of both assisting and opposing flows. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller-box method. The solutions for the flow and heat-transfer characteristics are evaluated numerically for various values of the parameters, namely the nanoparticle volume fraction φ and the mixed convection parameter λ at Prandtl numbers Pr=0.7 and 6.2. The three different types of nanoparticles considered are Al2O3, Cu and TiO2, using water-based fluid with Pr=6.2. It is found that for each particular nanoparticle, as the nanoparticle volume fraction φ increases, the skin friction coefficient and the heat-transfer rate at the surface also increase. This leads to an increase in the value of the mixed convection parameter λ, which at first gives no separation.

UR - http://www.scopus.com/inward/record.url?scp=80051704114&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80051704114&partnerID=8YFLogxK

U2 - 10.1088/0031-8949/84/02/025403

DO - 10.1088/0031-8949/84/02/025403

M3 - Article

AN - SCOPUS:80051704114

VL - 84

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - 2

M1 - 025403

ER -