Natural Convection of Mercury in a Magnetic Field parallel to the Gravity

Abstract

Experimental and numerical studies were carried out on the natural convection of mercury in a rectangular container heated from a vertical wall. A magnetic field was applied parallel to the gravity vector and to the heated wall. Experimental results showed that the magnetic field decreased the Nusselt number considerably in the low region of the Grashof number. The effect of the parallel field was found to be less than that for a field normal to the gravity vector, but it is still not negligible. Numerical results on the Nusselt number were found to predict approximately the experimental ones. Calculated velocity profiles displayed noticeable changes due to the application of the magnetic field. A broad stagnation region was formed in the core of the container.

Universality of oscillating boiling in Leidenfrost transition

“…Except for water, we observe that all the experimental values of T L are consistent, within 15% deviation, with the predicted ones; typically the TIR measured values are closer to theory than those obtained by the side-view technique. We note that while the surface temperature is assumed constant in our simplified theory, it fluctuates considerably in reality [12,27,28] as a result of two competing heat transfer processes: one from the solid surface to the liquid, and the other from the solid bulk to the surface. In addi-tion, variations in surface roughness and impact velocity may contribute to discrepancy between T M L and T P L .…”

The effect of a weak vertical magnetic field on the buoyancy-driven boundary-layer flow past a vertical heated wall

“…Unfortunately we can offer no experimental comparison for the work presented here. For the Czochralski crystal growth system the assumption of a uniform temperature T, may be justfied; however in the experimental work of Seki et al (1979) it may not be appropriate. Their experiments consisted of a rectangular cavity with a cooled vertical wall opposite the heated wall.…”

“…The situation that we consider here, of a heated vertical plate in the presence of a parallel vertical magnetic field, has not received attention although experiments on the effect of a vertical magnetic field on the flow in a rectangular container with a heated sidewall have been carried out by Seki, Kawamura & Sanokawa (1979) who also conducted some numerical calculations. A reason why this problem has not been considered may well be because a superficial consideration of this situation would indicate that the flow in the boundary layer, which is almost parallel to the magnetic field, would therefore be virtually unaffected by the Lorenz force.…”

Hydromagnetic free convection of a radiating fluid

“…Seki et al [1] studied the laminar natural convection of mercury subjected to a magnetic field parallel to gravity in a rectangular enclosure. Numerical results were found and compared to their experiment with which considered a partially heated vertical wall by a uniform heat generator.…”