Taylor-Couette流中的环向场不稳定性和涡粘性
Toroidal field instability and eddy viscosity in Taylor-Couette flows
摘要：
受泰勒不稳定性影响的环向磁场可以传输角动量。我们表明，麦克斯韦和雷诺应力的非轴对称场图案线性依赖于在圆柱形间隙几何形状的剪切。由此产生的角动量输运也与剪切成线性关系。对于天体物理学相关的流动，它是向外的，对于dOmega/dR>0的超旋转流动，它是向内的。我们定义的剪切和角动量输运之间的线性关系的基础上的涡动粘度，并表明其最大值为给定的普朗特和哈特曼数依赖于线性的磁雷诺数Rm。对于Rm=1000，涡流粘度的大小为微观值的30单位。
英文摘要：
Toroidal magnetic fields subject to the Tayler instability can transport angular momentum. We show that the Maxwell and Reynolds stress of the nonaxisymmetric field pattern depend linearly on the shear in the cylindrical gap geometry. Resulting angular momentum transport also scales linear with shear. It is directed outwards for astrophysical relevant flows and directed inwards for superrotating flows with dOmega/dR>0. We define an eddy viscosity based on the linear relation between shear and angular momentum transport and show that its maximum for given Prandtl and Hartmann number depends linear on the magnetic Reynolds number Rm. For Rm=1000 the eddy viscosity is of the size of 30 in units of the microscopic value.
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