作者: A. Barletta , M. Celli
DOI: 10.1016/J.IJHEATMASSTRANSFER.2008.04.009
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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.