论文标题
MHD流的2D型号
2D models for MHD flows
论文作者
论文摘要
提出了一种针对低$ $ $ $ MHD流量的新型号，即使在磁场的存在下，该模型仍保持动荡。这些流动使焦耳的耗散最小化，因为它们倾向于二维并抑制所有诱导效应。但是，由于惯性和核心流量和Hartmann层之间的电耦合，某些小的三维效应甚至在核心流中也存在。这种新模型可以看作是Sommeria-Moreau 2D模型的改进，它引入了这种三维性作为小扰动。它在磁场线上产生了平均速度的方程，该方案的解决方案与在孤立涡旋上执行的可用测量非常吻合。
A new model is proposed for low $Rm$ MHD flows which remain turbulent even in the presence of a magnetic field. These flows minimize the Joule dissipation because of their tendency to become two-dimensional and, therefore to suppress all induction effects. However, some small three-dimensional effects, due to inertia and to the electric coupling between the core flow and the Hartmann layers, are present even within the core flow. This new model, which may be seen as an improvement of the Sommeria-Moreau 2D model, introduces this three-dimensionality as a small perturbation. It yields an equation for the average velocity over the magnetic field lines, whose solution agrees well with available measurements performed on isolated vortices.
