磁化力による加速度増強下での空気のレイリー・ベナール対流の数値計算

概要

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Recent reports suggest that the magnetizing force reveals various interesting phenomena. The development of a super-conducting magnet enables to provide a strong geometrical gradient for induction which produces a large value in the magnetizing force. Oxygen is a paramagnetic fluid, and the magnetic susceptibility is very large. Air contains 21% of oxygen and therefore is a paramagnetic fluid, and air is expected to convect with the magnetizing force. Here we use a new parameter γ which represents the strength of the magnetizing force versus the accelerations of gravity. Model equations are the equation of continuity, the momentum equation, the energy equation, and Biot-Savart's law. Both natural convection and magnetizing force convection were computed with three-dimensional model equations. The system considered is similar to the Rayleigh-Benard convection of air within a shallow cylindrical enclosure whose diameter is six times its height. The cylinder is filled with air and is heated from the bottom wall, and cooled from the top. The side wall of the cylinder is assumed to be thermally insulated.
九州大学の論文