旋转超导球体在均匀磁场中的力矩分析

Analysis on Magnetic Torque of Superconducting Sphere with High Rotating Speed in Uniform Magnetic Field

基于经典的电磁场理论和伦敦方程,为在均匀磁场中高速旋转的超导球体所受力矩的计算建立了理论分析模型。该计算方法考虑了高速旋转的超导球体产生的伦敦磁矩与外磁场的相互影响,并把磁感应强度在超导球体的球坐标系中利用球谐函数展开,利用超导球体的边界条件最后推导出力矩的计算方法。同时给出了具体的分析实例。力矩计算模型的建立为进一步研究在磁场中高速旋转的超导球体的动力学特性有着重要的意义。

On the basis of the classic electromagnetic field theory and London equations, a calculation model was founded for the magnetic torque of a superconducting sphere with high rotating speed in a uniform magnetic field. By taking account of the interaction of the London moment produced by the rotating superconducting sphere with the applied magnetic field, calculation method of the magnetic torque was derived from the magnetic induction expressed in terms of spherical harmonic functions and the boundary condition of superconducting sphere. In addition, a calculating example is shown. The theoretical model for toque calculation is valuable for the farther research on the dynamic behavior of superconducting sphere with high rotating speed.