### Abstract

The opposing flow in a porous medium refers to a condition when the forcing velocity flows in opposite direction to thermal buoyancy obstructing the buoyant force. The present research refers to the effect of opposing flow in a vertical porous annulus embedded with fluid saturated porous medium. The thermal non-equilibrium approach with Darcy modal is considered. The boundary conditions are such that the inner radius is heated with constant temperature T_{w} the outer radius is maintained at constant temperature Tc. The coupled nonlinear partial differential equations such as momentum equation, energy equation for fluid and energy equation for solid are solved using the finite element method. The opposing flow variation of average Nusselt number with respect to radius ratio Rr, Aspect ratioAr and Radiation parameter Rd for different values of Peclet number Pe are investigated. It is found that the flow behavior is quite different from that of aiding flow.

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

Article number | 012214 |

Journal | IOP Conference Series: Materials Science and Engineering |

Volume | 149 |

Issue number | 1 |

DOIs | |

Publication status | Published - Oct 11 2016 |

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### Keywords

- Finite Element Method
- Mixed convection
- Porous medium
- Thermal non-equilibrium

### ASJC Scopus subject areas

- Materials Science(all)
- Engineering(all)

### Cite this

*IOP Conference Series: Materials Science and Engineering*,

*149*(1), [012214]. https://doi.org/10.1088/1757-899X/149/1/012214

**Mixed Convection Opposing Flow in a Vertical Porous Annulus-Two Temperature Model.** / Al-Rashed, Abdullah A.Aa; Salman Ahmed, N. J.; Khaleed, H. M.T.; Khan, T. M.Yunus; NazimAhamed, K. S.

Research output: Contribution to journal › Article

*IOP Conference Series: Materials Science and Engineering*, vol. 149, no. 1, 012214. https://doi.org/10.1088/1757-899X/149/1/012214

}

TY - JOUR

T1 - Mixed Convection Opposing Flow in a Vertical Porous Annulus-Two Temperature Model

AU - Al-Rashed, Abdullah A.Aa

AU - Salman Ahmed, N. J.

AU - Khaleed, H. M.T.

AU - Khan, T. M.Yunus

AU - NazimAhamed, K. S.

PY - 2016/10/11

Y1 - 2016/10/11

N2 - The opposing flow in a porous medium refers to a condition when the forcing velocity flows in opposite direction to thermal buoyancy obstructing the buoyant force. The present research refers to the effect of opposing flow in a vertical porous annulus embedded with fluid saturated porous medium. The thermal non-equilibrium approach with Darcy modal is considered. The boundary conditions are such that the inner radius is heated with constant temperature Tw the outer radius is maintained at constant temperature Tc. The coupled nonlinear partial differential equations such as momentum equation, energy equation for fluid and energy equation for solid are solved using the finite element method. The opposing flow variation of average Nusselt number with respect to radius ratio Rr, Aspect ratioAr and Radiation parameter Rd for different values of Peclet number Pe are investigated. It is found that the flow behavior is quite different from that of aiding flow.

AB - The opposing flow in a porous medium refers to a condition when the forcing velocity flows in opposite direction to thermal buoyancy obstructing the buoyant force. The present research refers to the effect of opposing flow in a vertical porous annulus embedded with fluid saturated porous medium. The thermal non-equilibrium approach with Darcy modal is considered. The boundary conditions are such that the inner radius is heated with constant temperature Tw the outer radius is maintained at constant temperature Tc. The coupled nonlinear partial differential equations such as momentum equation, energy equation for fluid and energy equation for solid are solved using the finite element method. The opposing flow variation of average Nusselt number with respect to radius ratio Rr, Aspect ratioAr and Radiation parameter Rd for different values of Peclet number Pe are investigated. It is found that the flow behavior is quite different from that of aiding flow.

KW - Finite Element Method

KW - Mixed convection

KW - Porous medium

KW - Thermal non-equilibrium

UR - http://www.scopus.com/inward/record.url?scp=84995542806&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84995542806&partnerID=8YFLogxK

U2 - 10.1088/1757-899X/149/1/012214

DO - 10.1088/1757-899X/149/1/012214

M3 - Article

VL - 149

JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

SN - 1757-8981

IS - 1

M1 - 012214

ER -