円筒容器内で回転磁場により駆動される液体金属の流れ

概要

論文の詳細を見る
An electric conducting fluid flow in a cylinder driven by a rotating magnetic field is numerically studied. A time-averaged Lorentz force term is derived on the condition that the skin effect can be neglected and then it is incorporated into the Navier-Stokes equation as a body force term. The axisymmetric velocity profile of basic flow for an infinitely long cylinder case depends only on the Hartmann number. A set of steady disturbance equations was successfully solved using the HSMAC method. For various cases of the basic flow i.e. the Hartmann numbers, the corresponding critical rotational Reynolds numbers for the onset of secondary flow were obtained instead of using the conventional magnetic Taylor number. The numerical results reveal that the critical Reynolds number takes its minimum at a certain Hartmann number. On the other hand, for a case of finite length cylinder, the no-slip condition at the flat walls generates the Bödewadt-like boundary layers and consequently the flow structure is changed significantly.