### Abstract

In this paper, the mathematical model for free convection boundary layer flow in a micropolar fluid near the lower stagnation point of a solid sphere with convective boundary conditions, in which the heat is supplied through a bounding surface of finite thickness and finite heat capacity, is considered. The transformed and reduced boundary layer equations in the form of ordinary 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 different values of the material or micropolar parameter K, the Prandtl number Prand the conjugate parameter γare analyzed and discussed.

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

Title of host publication | AIP Conference Proceedings |

Publisher | American Institute of Physics Inc. |

Pages | 76-82 |

Number of pages | 7 |

Volume | 1602 |

ISBN (Print) | 9780735412361 |

DOIs | |

Publication status | Published - 2014 |

Event | 3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur Duration: 17 Dec 2013 → 19 Dec 2013 |

### Other

Other | 3rd International Conference on Mathematical Sciences, ICMS 2013 |
---|---|

City | Kuala Lumpur |

Period | 17/12/13 → 19/12/13 |

### Fingerprint

### Keywords

- Convective boundary conditions
- Free convection
- Lower stagnation point
- Micropolar fluid
- Solid sphere

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*AIP Conference Proceedings*(Vol. 1602, pp. 76-82). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882469

**Free convection boundary layer flow near the lower stagnation point of 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: Chapter in Book/Report/Conference proceeding › Conference contribution

*AIP Conference Proceedings.*vol. 1602, American Institute of Physics Inc., pp. 76-82, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882469

}

TY - GEN

T1 - Free convection boundary layer flow near the lower stagnation point of 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 - 2014

Y1 - 2014

N2 - In this paper, the mathematical model for free convection boundary layer flow in a micropolar fluid near the lower stagnation point of a solid sphere with convective boundary conditions, in which the heat is supplied through a bounding surface of finite thickness and finite heat capacity, is considered. The transformed and reduced boundary layer equations in the form of ordinary 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 different values of the material or micropolar parameter K, the Prandtl number Prand the conjugate parameter γare analyzed and discussed.

AB - In this paper, the mathematical model for free convection boundary layer flow in a micropolar fluid near the lower stagnation point of a solid sphere with convective boundary conditions, in which the heat is supplied through a bounding surface of finite thickness and finite heat capacity, is considered. The transformed and reduced boundary layer equations in the form of ordinary 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 different values of the material or micropolar parameter K, the Prandtl number Prand the conjugate parameter γare analyzed and discussed.

KW - Convective boundary conditions

KW - Free convection

KW - Lower stagnation point

KW - Micropolar fluid

KW - Solid sphere

UR - http://www.scopus.com/inward/record.url?scp=84904131412&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904131412&partnerID=8YFLogxK

U2 - 10.1063/1.4882469

DO - 10.1063/1.4882469

M3 - Conference contribution

AN - SCOPUS:84904131412

SN - 9780735412361

VL - 1602

SP - 76

EP - 82

BT - AIP Conference Proceedings

PB - American Institute of Physics Inc.

ER -