Mixed convection Darcy flow in a vertical porous annulus around a straight electric cable is investigated. It is assumed that the flow is fully developed and parallel. Moreover, the Boussinesq approximation is used. The magnetic field with a steady electric current in the cable is radially varying according to the Biot–Savart law. Two flow regimes are investigated. The first is mixed convection with negligible effects of internal heat generation due to Joule heating and viscous dissipation. The second is forced convection with important effects of heat generation. In these two special cases, closed form expressions of the velocity profile and of the temperature profile, as well as of the flow rate and the Nusselt number, are obtained. The main features of these solutions are discussed.
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e-mail: antonio.barletta@mail.ing.unibo.it
e-mail: magyari@bluewin.ch
e-mail: stefano.lazzari@mail.ing.unibo.it
e-mail: pop.ioan@yahoo.co.uk
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Closed Form Solutions For Mixed Convection With Magnetohydrodynamic Effect in a Vertical Porous Annulus Surrounding an Electric Cable
A. Barletta,
A. Barletta
Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale (DIENCA),
e-mail: antonio.barletta@mail.ing.unibo.it
Università di Bologna
, Via dei Colli 16, I-40136 Bologna, Italy
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E. Magyari,
E. Magyari
Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale (DIENCA),
e-mail: magyari@bluewin.ch
Università di Bologna
, Via dei Colli 16, I-40136 Bologna, Italy
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S. Lazzari,
S. Lazzari
Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale (DIENCA),
e-mail: stefano.lazzari@mail.ing.unibo.it
Università di Bologna
, Via dei Colli 16, I-40136 Bologna, Italy
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I. Pop
I. Pop
Faculty of Mathematics,
e-mail: pop.ioan@yahoo.co.uk
University of Cluj
, R-3400 Cluj, CP 253, Romania
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A. Barletta
Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale (DIENCA),
Università di Bologna
, Via dei Colli 16, I-40136 Bologna, Italye-mail: antonio.barletta@mail.ing.unibo.it
E. Magyari
Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale (DIENCA),
Università di Bologna
, Via dei Colli 16, I-40136 Bologna, Italye-mail: magyari@bluewin.ch
S. Lazzari
Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale (DIENCA),
Università di Bologna
, Via dei Colli 16, I-40136 Bologna, Italye-mail: stefano.lazzari@mail.ing.unibo.it
I. Pop
Faculty of Mathematics,
University of Cluj
, R-3400 Cluj, CP 253, Romaniae-mail: pop.ioan@yahoo.co.uk
J. Heat Transfer. Jun 2009, 131(6): 064504 (4 pages)
Published Online: April 10, 2009
Article history
Received:
February 27, 2008
Revised:
December 3, 2008
Published:
April 10, 2009
Citation
Barletta, A., Magyari, E., Lazzari, S., and Pop, I. (April 10, 2009). "Closed Form Solutions For Mixed Convection With Magnetohydrodynamic Effect in a Vertical Porous Annulus Surrounding an Electric Cable." ASME. J. Heat Transfer. June 2009; 131(6): 064504. https://doi.org/10.1115/1.3085874
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