### Abstract

The problem of darcian natural convection in inclined square cavity partially filled between the central square hole filled with fluid and inside a square porous cavity filled with nanofluid is numerically studied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperature T_{h} and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL's finite element method is used to solve the non-dimensional governing equations together with the specified boundary c onditions. The governing parameters of this study are the Rayleigh number (10^{3} ≤ Ra ≤ 10^{7}), the Darcy number (10^{-5} ≤ Da ≤ 10^{-3}), the fluid layer thickness (0:4 ≤ S ≤ 0:8) and the inclination angle of the cavity (0° ≤ ω ≤ 6 0°). The results for the values of the governing parameters in terms of the streamlines, isotherms and average Nusselt number will be presented. The convection is shown to be inhibited by the presence of the hole insert. The thermal property of the insert and the size have opposite influence on the convection. The results have possible applications in heat-removal and heat-storage fluid-saturated porous systems.

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

Pages (from-to) | 1763 |

Number of pages | 1 |

Journal | Journal of Applied Fluid Mechanics |

Volume | 9 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1 Jan 2016 |

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### Keywords

- Darcy model
- Interface
- Nanofluid
- Natural convection
- Square cavity

### ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering

### Cite this

*Journal of Applied Fluid Mechanics*,

*9*(6), 1763. https://doi.org/10.18869/ACADPUB.JAFM.68.235.24575

**Darcian natural convection in inclined square cavity partially filled between the central square hole filled with a fluid and inside a square porous cavity filled with nanofluid.** / Alsabery, A. I.; Saleh, H.; Hashim, Ishak; Hussain, S. H.

Research output: Contribution to journal › Article

*Journal of Applied Fluid Mechanics*, vol. 9, no. 6, pp. 1763. https://doi.org/10.18869/ACADPUB.JAFM.68.235.24575

}

TY - JOUR

T1 - Darcian natural convection in inclined square cavity partially filled between the central square hole filled with a fluid and inside a square porous cavity filled with nanofluid

AU - Alsabery, A. I.

AU - Saleh, H.

AU - Hashim, Ishak

AU - Hussain, S. H.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - The problem of darcian natural convection in inclined square cavity partially filled between the central square hole filled with fluid and inside a square porous cavity filled with nanofluid is numerically studied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperature Th and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL's finite element method is used to solve the non-dimensional governing equations together with the specified boundary c onditions. The governing parameters of this study are the Rayleigh number (103 ≤ Ra ≤ 107), the Darcy number (10-5 ≤ Da ≤ 10-3), the fluid layer thickness (0:4 ≤ S ≤ 0:8) and the inclination angle of the cavity (0° ≤ ω ≤ 6 0°). The results for the values of the governing parameters in terms of the streamlines, isotherms and average Nusselt number will be presented. The convection is shown to be inhibited by the presence of the hole insert. The thermal property of the insert and the size have opposite influence on the convection. The results have possible applications in heat-removal and heat-storage fluid-saturated porous systems.

AB - The problem of darcian natural convection in inclined square cavity partially filled between the central square hole filled with fluid and inside a square porous cavity filled with nanofluid is numerically studied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperature Th and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL's finite element method is used to solve the non-dimensional governing equations together with the specified boundary c onditions. The governing parameters of this study are the Rayleigh number (103 ≤ Ra ≤ 107), the Darcy number (10-5 ≤ Da ≤ 10-3), the fluid layer thickness (0:4 ≤ S ≤ 0:8) and the inclination angle of the cavity (0° ≤ ω ≤ 6 0°). The results for the values of the governing parameters in terms of the streamlines, isotherms and average Nusselt number will be presented. The convection is shown to be inhibited by the presence of the hole insert. The thermal property of the insert and the size have opposite influence on the convection. The results have possible applications in heat-removal and heat-storage fluid-saturated porous systems.

KW - Darcy model

KW - Interface

KW - Nanofluid

KW - Natural convection

KW - Square cavity

UR - http://www.scopus.com/inward/record.url?scp=85046652531&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85046652531&partnerID=8YFLogxK

U2 - 10.18869/ACADPUB.JAFM.68.235.24575

DO - 10.18869/ACADPUB.JAFM.68.235.24575

M3 - Article

AN - SCOPUS:85046652531

VL - 9

SP - 1763

JO - Journal of Applied Fluid Mechanics

JF - Journal of Applied Fluid Mechanics

SN - 1735-3572

IS - 6

ER -