### Abstract

In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid, is considered. The basic nonlinear system of partial differential equations of boundary layer are first transformed into a non-dimensional form and are then solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local Nusselt number and the local skin friction coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, the material or micropolar parameter K, the magnetic parameter M, the radiation parameter N_{R}, the conjugate parameter γ and the coordinate running along the surface of the sphere, x are analyzed and discussed.

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

Pages (from-to) | 463-480 |

Number of pages | 18 |

Journal | Malaysian Journal of Mathematical Sciences |

Volume | 9 |

Issue number | 3 |

Publication status | Published - 1 Sep 2015 |

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### Keywords

- Convective boundary conditions
- Free convection
- Magnetohydrodynamic (MHD)
- Micropolar fluid
- Radiation effects
- Solid sphere

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Malaysian Journal of Mathematical Sciences*,

*9*(3), 463-480.

**Effect of radiation and magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid.** / Alkasasbeh, Hamzeh Taha; Salleh, Mohd Zuki; Tahar, Razman Mat; Mohd. Nazar, Roslinda; Pop, Ioan.

Research output: Contribution to journal › Article

*Malaysian Journal of Mathematical Sciences*, vol. 9, no. 3, pp. 463-480.

}

TY - JOUR

T1 - Effect of radiation and magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid

AU - Alkasasbeh, Hamzeh Taha

AU - Salleh, Mohd Zuki

AU - Tahar, Razman Mat

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2015/9/1

Y1 - 2015/9/1

N2 - In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid, is considered. The basic nonlinear system of partial differential equations of boundary layer are first transformed into a non-dimensional form and are then solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local Nusselt number and the local skin friction coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, the material or micropolar parameter K, the magnetic parameter M, the radiation parameter NR, the conjugate parameter γ and the coordinate running along the surface of the sphere, x are analyzed and discussed.

AB - In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid, is considered. The basic nonlinear system of partial differential equations of boundary layer are first transformed into a non-dimensional form and are then solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local Nusselt number and the local skin friction coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, the material or micropolar parameter K, the magnetic parameter M, the radiation parameter NR, the conjugate parameter γ and the coordinate running along the surface of the sphere, x are analyzed and discussed.

KW - Convective boundary conditions

KW - Free convection

KW - Magnetohydrodynamic (MHD)

KW - Micropolar fluid

KW - Radiation effects

KW - Solid sphere

UR - http://www.scopus.com/inward/record.url?scp=85000415150&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85000415150&partnerID=8YFLogxK

M3 - Article

VL - 9

SP - 463

EP - 480

JO - Malaysian Journal of Mathematical Sciences

JF - Malaysian Journal of Mathematical Sciences

SN - 1823-8343

IS - 3

ER -