### Abstract

In this paper, the problem of steady mixed convection boundary layer flow in a nanofluid near the lower stagnation point of a horizontal circular cylinder in a stream flowing vertically upwards has been studied for both cases of a heated and cooled cylinder. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller-box method. Three different types of nanoparticles considered are Cu, Al_{2}O_{3} and TiO_{2} by using water-based fluid. Numerical solutions are obtained for the skin friction coefficient and heat transfer coefficient as well as the velocity and temperature profiles with various values of the parameters, namely, the nanoparticle volume fraction φ and the mixed convection parameter λ at Prandtl number Pr = 6.2.

Original language | English |
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Pages (from-to) | 97-118 |

Number of pages | 22 |

Journal | Far East Journal of Mathematical Sciences |

Volume | 73 |

Issue number | 1 |

Publication status | Published - Feb 2013 |

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### Keywords

- Boundary layer
- Horizontal circular cylinder
- Lower stagnation point
- Mixed convection
- Nanofluid
- Numerical solution

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Numerical solutions of mixed convection boundary layer flow near the lower stagnation point of a horizontal circular cylinder in a nanofluid.** / Tham, Leony; Mohd. Nazar, Roslinda; Pop, Ioan.

Research output: Contribution to journal › Article

*Far East Journal of Mathematical Sciences*, vol. 73, no. 1, pp. 97-118.

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TY - JOUR

T1 - Numerical solutions of mixed convection boundary layer flow near the lower stagnation point of a horizontal circular cylinder in a nanofluid

AU - Tham, Leony

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2013/2

Y1 - 2013/2

N2 - In this paper, the problem of steady mixed convection boundary layer flow in a nanofluid near the lower stagnation point of a horizontal circular cylinder in a stream flowing vertically upwards has been studied for both cases of a heated and cooled cylinder. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller-box method. Three different types of nanoparticles considered are Cu, Al2O3 and TiO2 by using water-based fluid. Numerical solutions are obtained for the skin friction coefficient and heat transfer coefficient as well as the velocity and temperature profiles with various values of the parameters, namely, the nanoparticle volume fraction φ and the mixed convection parameter λ at Prandtl number Pr = 6.2.

AB - In this paper, the problem of steady mixed convection boundary layer flow in a nanofluid near the lower stagnation point of a horizontal circular cylinder in a stream flowing vertically upwards has been studied for both cases of a heated and cooled cylinder. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller-box method. Three different types of nanoparticles considered are Cu, Al2O3 and TiO2 by using water-based fluid. Numerical solutions are obtained for the skin friction coefficient and heat transfer coefficient as well as the velocity and temperature profiles with various values of the parameters, namely, the nanoparticle volume fraction φ and the mixed convection parameter λ at Prandtl number Pr = 6.2.

KW - Boundary layer

KW - Horizontal circular cylinder

KW - Lower stagnation point

KW - Mixed convection

KW - Nanofluid

KW - Numerical solution

UR - http://www.scopus.com/inward/record.url?scp=84872083342&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872083342&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84872083342

VL - 73

SP - 97

EP - 118

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 1

ER -