### Abstract

The problem of inclination angle effect on natural convection in a square cavity partially filled with non-Newtonian fluid layer is studied numerically using The Finite Volume Method. Governing equations are solved over wide range of Darcy number (10^{-5} ≤ Da ≤ 10^{-1}), power-law index(0.6 ≤ n ≤ 1.4), the inclination angle of the cavity (0° ≤ ω ≤ 90°), Rayleigh number (Ra = 10^{5}) and porous layer thickness (S = 0.5). The results presented for values of the governing parameters in terms of streamlines in both porous/non-Newtonian fluid-layer, isotherms in both porous/non-Newtonian fluid-layer and average Nusselt number. It is shown that the heat transfer has maximum value when the power-law index is less than one (pseudoplastic fluid), and then decreases remarkably as the power-law index increases. The results have possible applications in heat-removal and heat-storage non-Newtonian fluid-saturated porous systems.

Original language | English |
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Title of host publication | 2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium |

Publisher | American Institute of Physics Inc. |

Volume | 1678 |

ISBN (Electronic) | 9780735413252 |

DOIs | |

Publication status | Published - 25 Sep 2015 |

Event | 2015 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2015 - Selangor, Malaysia Duration: 15 Apr 2015 → 16 Apr 2015 |

### Other

Other | 2015 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2015 |
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Country | Malaysia |

City | Selangor |

Period | 15/4/15 → 16/4/15 |

### Fingerprint

### Keywords

- Natural Convection
- Partially Filled
- Porous Medium
- Power-law

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium*(Vol. 1678). [060007] American Institute of Physics Inc.. https://doi.org/10.1063/1.4931334

**Inclination angle effect on natural convection in a square cavity partially filled with non-Newtonian fluids layer.** / Alsabery, Ammar I.; Hussain, Salam H.; Saleh, Habibis; Hashim, Ishak.

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

*2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium.*vol. 1678, 060007, American Institute of Physics Inc., 2015 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2015, Selangor, Malaysia, 15/4/15. https://doi.org/10.1063/1.4931334

}

TY - GEN

T1 - Inclination angle effect on natural convection in a square cavity partially filled with non-Newtonian fluids layer

AU - Alsabery, Ammar I.

AU - Hussain, Salam H.

AU - Saleh, Habibis

AU - Hashim, Ishak

PY - 2015/9/25

Y1 - 2015/9/25

N2 - The problem of inclination angle effect on natural convection in a square cavity partially filled with non-Newtonian fluid layer is studied numerically using The Finite Volume Method. Governing equations are solved over wide range of Darcy number (10-5 ≤ Da ≤ 10-1), power-law index(0.6 ≤ n ≤ 1.4), the inclination angle of the cavity (0° ≤ ω ≤ 90°), Rayleigh number (Ra = 105) and porous layer thickness (S = 0.5). The results presented for values of the governing parameters in terms of streamlines in both porous/non-Newtonian fluid-layer, isotherms in both porous/non-Newtonian fluid-layer and average Nusselt number. It is shown that the heat transfer has maximum value when the power-law index is less than one (pseudoplastic fluid), and then decreases remarkably as the power-law index increases. The results have possible applications in heat-removal and heat-storage non-Newtonian fluid-saturated porous systems.

AB - The problem of inclination angle effect on natural convection in a square cavity partially filled with non-Newtonian fluid layer is studied numerically using The Finite Volume Method. Governing equations are solved over wide range of Darcy number (10-5 ≤ Da ≤ 10-1), power-law index(0.6 ≤ n ≤ 1.4), the inclination angle of the cavity (0° ≤ ω ≤ 90°), Rayleigh number (Ra = 105) and porous layer thickness (S = 0.5). The results presented for values of the governing parameters in terms of streamlines in both porous/non-Newtonian fluid-layer, isotherms in both porous/non-Newtonian fluid-layer and average Nusselt number. It is shown that the heat transfer has maximum value when the power-law index is less than one (pseudoplastic fluid), and then decreases remarkably as the power-law index increases. The results have possible applications in heat-removal and heat-storage non-Newtonian fluid-saturated porous systems.

KW - Natural Convection

KW - Partially Filled

KW - Porous Medium

KW - Power-law

UR - http://www.scopus.com/inward/record.url?scp=85006189373&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85006189373&partnerID=8YFLogxK

U2 - 10.1063/1.4931334

DO - 10.1063/1.4931334

M3 - Conference contribution

VL - 1678

BT - 2015 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium

PB - American Institute of Physics Inc.

ER -