### Abstract

Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model is studied numerically in the present article. The horizontal heating is considered, where the vertical walls heated isothermally at different temperatures, while the horizontal walls are kept adiabatic. The Darcy model is used in the mathematical formulation for the porous layer and finite difference method is applied to solve the dimensionless governing equations. It is found that the average Nusselt number of fluid increases slightly by increasing the inter-phase heat transfer coefficient and the average Nusselt number of solid increases sharply by increasing the inter-phase heat transfer coefficient for the all viscous dissipation parameter.

Original language | English |
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Title of host publication | AIP Conference Proceedings |

Publisher | American Institute of Physics Inc. |

Pages | 151-156 |

Number of pages | 6 |

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 |
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City | Kuala Lumpur |

Period | 17/12/13 → 19/12/13 |

### Fingerprint

### Keywords

- Darcy's law
- Natural convection
- Viscous dissipation

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*AIP Conference Proceedings*(Vol. 1602, pp. 151-156). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882481

**Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model.** / Alhashash, Abeer; Saleh, Habibis; Hashim, Ishak.

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

*AIP Conference Proceedings.*vol. 1602, American Institute of Physics Inc., pp. 151-156, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882481

}

TY - GEN

T1 - Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model

AU - Alhashash, Abeer

AU - Saleh, Habibis

AU - Hashim, Ishak

PY - 2014

Y1 - 2014

N2 - Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model is studied numerically in the present article. The horizontal heating is considered, where the vertical walls heated isothermally at different temperatures, while the horizontal walls are kept adiabatic. The Darcy model is used in the mathematical formulation for the porous layer and finite difference method is applied to solve the dimensionless governing equations. It is found that the average Nusselt number of fluid increases slightly by increasing the inter-phase heat transfer coefficient and the average Nusselt number of solid increases sharply by increasing the inter-phase heat transfer coefficient for the all viscous dissipation parameter.

AB - Natural convection and viscous dissipation in a square porous enclosure using a thermal nonequilibrium model is studied numerically in the present article. The horizontal heating is considered, where the vertical walls heated isothermally at different temperatures, while the horizontal walls are kept adiabatic. The Darcy model is used in the mathematical formulation for the porous layer and finite difference method is applied to solve the dimensionless governing equations. It is found that the average Nusselt number of fluid increases slightly by increasing the inter-phase heat transfer coefficient and the average Nusselt number of solid increases sharply by increasing the inter-phase heat transfer coefficient for the all viscous dissipation parameter.

KW - Darcy's law

KW - Natural convection

KW - Viscous dissipation

UR - http://www.scopus.com/inward/record.url?scp=84904111895&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904111895&partnerID=8YFLogxK

U2 - 10.1063/1.4882481

DO - 10.1063/1.4882481

M3 - Conference contribution

AN - SCOPUS:84904111895

SN - 9780735412361

VL - 1602

SP - 151

EP - 156

BT - AIP Conference Proceedings

PB - American Institute of Physics Inc.

ER -