电磁流体力学的一类新的严格解

本文研究了方位方向外加磁场下不可压缩导电粘滞流体的定态管道流动,导出了确定速度分布和感应磁场分布的方程,藉此可以求出电磁流体力学的一类新的严格解。进而具体讨论了管壁为绝缘体的扇形截面管道流动,给出了速度分布和感应磁场分布的解析表达式,以及管道总流量对Hartmann数的依赖关系,并作了图解分析。

A New Sort of Exact Solution of the Magnetohydrodynamics

This article deals with the steady flows of incompressible,conducting,viscous fluids through ducts under an imposed azimuthal magnetic field.The equations determining the velocity profile and the induced magnetic field are derived. By means of these equations,we can find a new sort of exact solutions of the magnetohydrodynamics. We discuss, in detail, the flows in a circular segment cross-section duct with insulating walls,and derive the analytical expressions for the velocity profile and the induced magnetic field.The volume flow through the duct, which depends on the Hartmann number, is given. The schematic analyses of the results are also included.