### Abstract

In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid, in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The transformed boundary layer equations in the form of nonlinear partial differential equations are solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local wall temperature and the local skin friction coefficient, as well as the velocity, angular velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, micropolar parameter K, magnetic parameter M, 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 |
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Title of host publication | 2nd ISM International Statistical Conference 2014, ISM 2014 |

Subtitle of host publication | Empowering the Applications of Statistical and Mathematical Sciences |

Editors | Nor Aida Zuraimi Md Noar, Roslinazairimah Zakaria, Wan Nur Syahidah Wan Yusoff, Mohd Sham Mohamad, Mohd Rashid Ab Hamid |

Publisher | American Institute of Physics Inc. |

Pages | 662-669 |

Number of pages | 8 |

ISBN (Electronic) | 9780735412811 |

DOIs | |

Publication status | Published - 1 Jan 2015 |

Event | 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014 - Kuantan, Pahang, Malaysia Duration: 12 Aug 2014 → 14 Aug 2014 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1643 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014 |
---|---|

Country | Malaysia |

City | Kuantan, Pahang |

Period | 12/8/14 → 14/8/14 |

### Fingerprint

### Keywords

- Free Convection
- Magnetohydrodynamic (MHD)
- Micropolar Fluid
- Newtonian Heating
- Radiation Effects

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences*(pp. 662-669). (AIP Conference Proceedings; Vol. 1643). American Institute of Physics Inc.. https://doi.org/10.1063/1.4907509

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences.*AIP Conference Proceedings, vol. 1643, American Institute of Physics Inc., pp. 662-669, 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014, Kuantan, Pahang, Malaysia, 12/8/14. https://doi.org/10.1063/1.4907509

}

TY - GEN

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

AU - Alkasasbeh, Hamzeh Taha

AU - Md Sarif, Norhafizah

AU - Salleh, Mohd Zuki

AU - Tahar, Razman Mat

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2015/1/1

Y1 - 2015/1/1

N2 - In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid, in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The transformed boundary layer equations in the form of nonlinear partial differential equations are solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local wall temperature and the local skin friction coefficient, as well as the velocity, angular velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, micropolar parameter K, magnetic parameter M, radiation parameter N R , 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 Newtonian heating in a micropolar fluid, in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The transformed boundary layer equations in the form of nonlinear partial differential equations are solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local wall temperature and the local skin friction coefficient, as well as the velocity, angular velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, micropolar parameter K, magnetic parameter M, radiation parameter N R , the conjugate parameter γ and the coordinate running along the surface of the sphere, x are analyzed and discussed.

KW - Free Convection

KW - Magnetohydrodynamic (MHD)

KW - Micropolar Fluid

KW - Newtonian Heating

KW - Radiation Effects

UR - http://www.scopus.com/inward/record.url?scp=85045049002&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045049002&partnerID=8YFLogxK

U2 - 10.1063/1.4907509

DO - 10.1063/1.4907509

M3 - Conference contribution

T3 - AIP Conference Proceedings

SP - 662

EP - 669

BT - 2nd ISM International Statistical Conference 2014, ISM 2014

A2 - Noar, Nor Aida Zuraimi Md

A2 - Zakaria, Roslinazairimah

A2 - Yusoff, Wan Nur Syahidah Wan

A2 - Mohamad, Mohd Sham

A2 - Hamid, Mohd Rashid Ab

PB - American Institute of Physics Inc.

ER -