### Abstract

The current study is focused to investigate the natural convective heat transfer characteristics in a porous square annulus. Finite element method is used as a tool to simplify the partial differential equations that govern the heat and fluid flow characteristics inside the porous medium. A simple three noded triangular element is used to divide the porous domain into smaller segments known as elements. The algebraic set of equations resulting from the finite element equation are assembled into a global matrix and then solved iteratively to get the solution variables. Thermal equilibrium as well as non equilibrium in porous domain is considered. The effect of various geometric and physical parameters are investigated. The boundary conditions are such that the inner walls of the annulus are heated isothermally to temperature T_{h}, and the outer surfaces are exposed to cool temperature T_{c}. The width ratio defined as the ratio of hollow portion to the length of the cavity is varied from 0.125 to 0.875. Results are discussed with respect to width ratio, Rayleigh number, radiation parameter and viscous dissipation parameter.

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

Pages (from-to) | 7175-7187 |

Number of pages | 13 |

Journal | International Journal of Heat and Mass Transfer |

Volume | 55 |

Issue number | 23-24 |

DOIs | |

Publication status | Published - 2012 |

### Fingerprint

### Keywords

- FEM
- Heat transfer
- Porous medium
- Square annulus

### ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanical Engineering
- Fluid Flow and Transfer Processes

### Cite this

*International Journal of Heat and Mass Transfer*,

*55*(23-24), 7175-7187. https://doi.org/10.1016/j.ijheatmasstransfer.2012.07.034

**Natural convection in a square porous annulus.** / Badruddin, Irfan Anjum; Al-Rashed, Abdullah A.A.A.; Ahmed, N. J.Salman; Kamangar, Sarfaraz; Jeevan, K.

Research output: Contribution to journal › Article

*International Journal of Heat and Mass Transfer*, vol. 55, no. 23-24, pp. 7175-7187. https://doi.org/10.1016/j.ijheatmasstransfer.2012.07.034

}

TY - JOUR

T1 - Natural convection in a square porous annulus

AU - Badruddin, Irfan Anjum

AU - Al-Rashed, Abdullah A.A.A.

AU - Ahmed, N. J.Salman

AU - Kamangar, Sarfaraz

AU - Jeevan, K.

PY - 2012

Y1 - 2012

N2 - The current study is focused to investigate the natural convective heat transfer characteristics in a porous square annulus. Finite element method is used as a tool to simplify the partial differential equations that govern the heat and fluid flow characteristics inside the porous medium. A simple three noded triangular element is used to divide the porous domain into smaller segments known as elements. The algebraic set of equations resulting from the finite element equation are assembled into a global matrix and then solved iteratively to get the solution variables. Thermal equilibrium as well as non equilibrium in porous domain is considered. The effect of various geometric and physical parameters are investigated. The boundary conditions are such that the inner walls of the annulus are heated isothermally to temperature Th, and the outer surfaces are exposed to cool temperature Tc. The width ratio defined as the ratio of hollow portion to the length of the cavity is varied from 0.125 to 0.875. Results are discussed with respect to width ratio, Rayleigh number, radiation parameter and viscous dissipation parameter.

AB - The current study is focused to investigate the natural convective heat transfer characteristics in a porous square annulus. Finite element method is used as a tool to simplify the partial differential equations that govern the heat and fluid flow characteristics inside the porous medium. A simple three noded triangular element is used to divide the porous domain into smaller segments known as elements. The algebraic set of equations resulting from the finite element equation are assembled into a global matrix and then solved iteratively to get the solution variables. Thermal equilibrium as well as non equilibrium in porous domain is considered. The effect of various geometric and physical parameters are investigated. The boundary conditions are such that the inner walls of the annulus are heated isothermally to temperature Th, and the outer surfaces are exposed to cool temperature Tc. The width ratio defined as the ratio of hollow portion to the length of the cavity is varied from 0.125 to 0.875. Results are discussed with respect to width ratio, Rayleigh number, radiation parameter and viscous dissipation parameter.

KW - FEM

KW - Heat transfer

KW - Porous medium

KW - Square annulus

UR - http://www.scopus.com/inward/record.url?scp=84865769993&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865769993&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2012.07.034

DO - 10.1016/j.ijheatmasstransfer.2012.07.034

M3 - Article

VL - 55

SP - 7175

EP - 7187

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 23-24

ER -