MHD Mixed Convection in a Vertical Porous Channel

This work deals with the problem of MHD mixed convection in a completely porous and differentially heated vertical channel. The model of Darcy-Brinkman-Forchheimer with the Boussinesq approximation is adopted and the governing equations are solved by the finite volume method. The effects of magnetic field and buoyancy force intensities are given by the Hartmann and Richardson numbers respectively, as well as the Joule heating represented by Eckert number on the velocity and temperature fields, are examined. The main results show an augmentation of heat transfer rate with the decrease of Darcy number and the increase of Ri and Ha when Joule heating is neglected.

Authors:

• B. Fersadou
• H. Kahalerras

Keywords:

• Heat sources
• magnetic field
• mixed convection
• porous channel.

References:

[1] B. Pan and B. Q. Li, “Effect of magnetic fields on oscillating mixed
convection”, Int. J. Heat Mass Transfer, vol. 41, 1998, pp. 2705–2710.
[2] S. H. Tasnim, M. Shohel and M. A. H. Mamun, “Entropy Generation in
a Porous Channel with hydromagnetic Effect”, Exergy, vol. 2, 2002, pp.
300–308.
[3] M. Shohel, S. H. Tasnim and M. A. H. Mamun, “Thermodynamic
analysis of mixed convection in a channel with transverse
hydromagnetic effect”, Int. J. Therm. Sci., vol. 42, 2003, pp. 731–740.
[4] Mahmud S., Fraser R. A. Magnetohydrodynamic free convection and
entropy generation in a square porous cavity. Int J Heat Mass Transfer
2004; 47:3245–56.
[5] A. Barletta, S. Lazzari, E. Magyari and I. Pop, “Mixed convection with
heating effects in a vertical porous annulus with a radially varying
magnetic field”, Int. J. Heat Mass Transfer, vol. 51, 2008, pp. 5777–
5784.
[6] P. Raveendra Nath, P. M. V. Prasad and D. R. V. Prasada Rao,
“Computational hydromagnetic mixed convective heat and mass transfer
through a porous medium in a non-uniformly heated vertical channel
with heat sources and dissipation”, Comp. Math. Appl., vol. 59, 2010,
pp. 803–811.
[7] O. D. Makinde and A. Aziz, “MHD mixed convection from a vertical
plate embedded in a porous medium with a convective boundary
condition”, .Int. J. Therm. Sci., vol. 49, 2010, pp. 1813–1820.
[8] O. D. Makinde, “Heat and mass transfer by MHD mixed convection
stagnation point flow toward a vertical plate embedded in a highly
porous medium with radiation and internal heat generation ”,
Meccanica, vol. 47, 2012, pp. 1173–1184.
[9] S. V. Patankar, “Numerical heat transfer and fluid flow,” New York,
McGraw Hill, 1980.