Mixed convection MHD flow in a vertical channel : Effects of Joule heating and viscous dissipation

作者: A. Barletta , M. Celli

DOI: 10.1016/J.IJHEATMASSTRANSFER.2008.04.009

关键词:

摘要: Combined forced and free flow in a vertical channel with an adiabatic wall isothermal is investigated. The laminar, parallel fully developed regime considered. A uniform horizontal magnetic field assumed to be applied the fluid. local balance equations are written dimensionless form solved by taking into account effects of Joule heating viscous dissipation. solutions obtained both analytically power series method numerically. governing parameters affecting velocity temperature profiles Hartmann number ratio between Grashof Reynolds number. Dual shown exist for every value within bounded range Outside this range, no problem exist.

参考文章(15)
Bo Pan, Ben Q. Li, Effect of magnetic fields on oscillating mixed convection International Journal of Heat and Mass Transfer. ,vol. 41, pp. 2705- 2710 ,(1998) , 10.1016/S0017-9310(97)00343-8
T. Mahmood, J. H. Merkin, Similarity solutions in axisymmetric mixed convection boundary-layer flow Journal of Engineering Mathematics. ,vol. 22, pp. 73- 92 ,(1988) , 10.1007/BF00044366
A. Ridha, Marie Curie, Aiding flows non-unique similarity solutions of mixed-convection boundary-layer equations Zeitschrift für Angewandte Mathematik und Physik. ,vol. 47, pp. 341- 352 ,(1996) , 10.1007/BF00916642
M.J Al-Khawaja, R.K Agarwal, R.A Gardner, Numerical study of magneto-fluid-mechanic combined free-and-forced convection heat transfer International Journal of Heat and Mass Transfer. ,vol. 42, pp. 467- 475 ,(1999) , 10.1016/S0017-9310(98)00172-0
A. Barletta, E. Magyari, B. Keller, Dual mixed convection flows in a vertical channel International Journal of Heat and Mass Transfer. ,vol. 48, pp. 4835- 4845 ,(2005) , 10.1016/J.IJHEATMASSTRANSFER.2005.05.036
J.C. Umavathi, M.S. Malashetty, Magnetohydrodynamic mixed convection in a vertical channel International Journal of Non-linear Mechanics. ,vol. 40, pp. 91- 101 ,(2005) , 10.1016/J.IJNONLINMEC.2004.05.018
J.P. Garandet, T. Alboussiere, R. Moreau, Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field International Journal of Heat and Mass Transfer. ,vol. 35, pp. 741- 748 ,(1992) , 10.1016/0017-9310(92)90242-K
J. H. Merkin, On dual solutions occurring in mixed convection in a porous medium Journal of Engineering Mathematics. ,vol. 20, pp. 171- 179 ,(1986) , 10.1007/BF00042775
D. E. Jesson, W. N. Cottingham, An investigation of beam theory using the Airy stress function coupled with analytic function theory Journal of Engineering Mathematics. ,vol. 20, pp. 73- 79 ,(1986) , 10.1007/BF00039324