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首页> 外文期刊>Comptes rendus. Mecanique >Three-dimensional Rayleigh-Bénard magnetoconvection: Effect of the direction of the magnetic field on heat transfer and flow patterns
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Three-dimensional Rayleigh-Bénard magnetoconvection: Effect of the direction of the magnetic field on heat transfer and flow patterns

机译：三维瑞利-贝纳德磁对流：磁场方向对热传递和流动模式的影响

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摘要

The effect of an imposed magnetic field on Rayleigh-Bénard three-dimensional natural convection was investigated numerically. The cubical cavity is heated from below and cooled from above, and the remaining side walls are insulated. The magnetic field is tilted at an angle αabout the horizontal. Flow field and heat transfer were predicted for fluid with Pr=0.71and a wide range of governing parameters such as a Rayleigh number between 5 ×10~4and 10~5, a Hartmann number between 0 and 60, and an inclination angle between 0?and 360?. When a magnetic field is applied on a non-conducting fluid within a cubical cavity, whether the natural convection is promoted or damped is found to depend on both the direction and the magnitude of the magnetic field. The average Nusselt number decreased with an increase of the Hartmann number and increased with an increase of the Rayleigh number. The maximum heat transfer rate was observed for α=30?and Ha=10, while heat transfer was poor for the vertical direction of the magnetic field. The dependence of the promotion or damping efficiency on αand Hais also discussed in terms of isocontours and isosurfaces in sight of the dynamic and thermal behaviour of the flow.
机译：数值研究了施加的磁场对Rayleigh-Bénard三维自然对流的影响。立方腔从下方被加热，从上方被冷却，其余的侧壁被隔热。磁场相对于水平线倾斜角度为α。预测了流体在Pr = 0.71时的流场和传热，并且控制参数范围很广，例如Rayleigh数在5×10〜4和10〜5之间，Hartmann数在0和60之间，倾角在0°之间。和360？当在立方腔内的非导电流体上施加磁场时，自然对流的产生或衰减取决于磁场的方向和大小。 Nusselt平均数随Hartmann数的增加而减少，随Rayleigh数的增加而增加。对于α＝30Ω和Ha ＝ 10，观察到最大传热速率，而对于磁场的垂直方向传热较差。鉴于流动的动态和热行为，还根据等值线和等值面讨论了促进或阻尼效率对α和Hais的依赖性。

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