### Abstract

The effect of magnetic field on double-diffusive natural convection in a square cavity filled with a fluid-saturated porous medium is studied numerically. The bottom wall is fully heated at a constant temperature, and the top wall is maintained at a constant cold temperature. The right wall is fully salted to a high concentration, while the left wall is fully salted at a lower concentration than the right one. A magnetic force is applied on the cavity along the gravity force direction. The Darcy model is used for the mathematical formulation of the fluid flow through porous media. The governing equations for heat and mass transfer are solved using the finite volume method. The governing parameters of the present study are Rayleigh number (Ra), Lewis number (Le), buoyancy ratio (N), and Hartmann number (Ha). The numerical solutions were studied in the range of - 10 ≤ N ≤ 10, 0 ≤ H a ≤ 10, 50 ≤ R a ≤ 500, and 10 - 4 ≤ Le ≤ 10. The results were discussed considering the effect of these parameters on the heat and mass transfer processes. The results were presented in terms of streamlines, isotherms, isoconcentration, average Nusselt number, and average Sherwood number for different values of the governing parameters. In general, it has been found that the increase of magnetic force has an effect to retard the strength of the flow inside the cavity and reduce the heat and mass transfer processes. For high Hartmann number, the flow is almost suppressed.

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

Article number | 183079 |

Journal | Advances in Mechanical Engineering |

Volume | 2013 |

DOIs | |

Publication status | Published - 2013 |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Advances in Mechanical Engineering*,

*2013*, [183079]. https://doi.org/10.1155/2013/183079

**Magnetic field effect on natural convection in a porous cavity heating from below and salting from side.** / Altawallbeh, A. A.; Saeid, N. H.; Hashim, Ishak.

Research output: Contribution to journal › Article

*Advances in Mechanical Engineering*, vol. 2013, 183079. https://doi.org/10.1155/2013/183079

}

TY - JOUR

T1 - Magnetic field effect on natural convection in a porous cavity heating from below and salting from side

AU - Altawallbeh, A. A.

AU - Saeid, N. H.

AU - Hashim, Ishak

PY - 2013

Y1 - 2013

N2 - The effect of magnetic field on double-diffusive natural convection in a square cavity filled with a fluid-saturated porous medium is studied numerically. The bottom wall is fully heated at a constant temperature, and the top wall is maintained at a constant cold temperature. The right wall is fully salted to a high concentration, while the left wall is fully salted at a lower concentration than the right one. A magnetic force is applied on the cavity along the gravity force direction. The Darcy model is used for the mathematical formulation of the fluid flow through porous media. The governing equations for heat and mass transfer are solved using the finite volume method. The governing parameters of the present study are Rayleigh number (Ra), Lewis number (Le), buoyancy ratio (N), and Hartmann number (Ha). The numerical solutions were studied in the range of - 10 ≤ N ≤ 10, 0 ≤ H a ≤ 10, 50 ≤ R a ≤ 500, and 10 - 4 ≤ Le ≤ 10. The results were discussed considering the effect of these parameters on the heat and mass transfer processes. The results were presented in terms of streamlines, isotherms, isoconcentration, average Nusselt number, and average Sherwood number for different values of the governing parameters. In general, it has been found that the increase of magnetic force has an effect to retard the strength of the flow inside the cavity and reduce the heat and mass transfer processes. For high Hartmann number, the flow is almost suppressed.

AB - The effect of magnetic field on double-diffusive natural convection in a square cavity filled with a fluid-saturated porous medium is studied numerically. The bottom wall is fully heated at a constant temperature, and the top wall is maintained at a constant cold temperature. The right wall is fully salted to a high concentration, while the left wall is fully salted at a lower concentration than the right one. A magnetic force is applied on the cavity along the gravity force direction. The Darcy model is used for the mathematical formulation of the fluid flow through porous media. The governing equations for heat and mass transfer are solved using the finite volume method. The governing parameters of the present study are Rayleigh number (Ra), Lewis number (Le), buoyancy ratio (N), and Hartmann number (Ha). The numerical solutions were studied in the range of - 10 ≤ N ≤ 10, 0 ≤ H a ≤ 10, 50 ≤ R a ≤ 500, and 10 - 4 ≤ Le ≤ 10. The results were discussed considering the effect of these parameters on the heat and mass transfer processes. The results were presented in terms of streamlines, isotherms, isoconcentration, average Nusselt number, and average Sherwood number for different values of the governing parameters. In general, it has been found that the increase of magnetic force has an effect to retard the strength of the flow inside the cavity and reduce the heat and mass transfer processes. For high Hartmann number, the flow is almost suppressed.

UR - http://www.scopus.com/inward/record.url?scp=84874596798&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874596798&partnerID=8YFLogxK

U2 - 10.1155/2013/183079

DO - 10.1155/2013/183079

M3 - Article

AN - SCOPUS:84874596798

VL - 2013

JO - Advances in Mechanical Engineering

JF - Advances in Mechanical Engineering

SN - 1687-8132

M1 - 183079

ER -