强磁场下旋转流动的数值模拟研究  

A numerical study of swirling flow under a strong magnetic field

作　　者：于洋[1,2] 李本文[3] 

机构地区：[1]东北大学材料电磁过程研究教育部重点实验室,辽宁沈阳110819 [2]东北电力大学能源与动力学院,吉林吉林132012 [3]大连理工大学能源与动力学院热能工程研究所,辽宁大连116024

出　　处：《节能》2014年第8期19-22,2,共4页Energy Conservation

基　　金：国家自然科学基金资助项目(项目编号:51176026)

摘　　要：基于谱投影方法,对封闭圆筒内由顶盖驱动引起的稳定和轴对称旋转流动进行了数值模拟研究。谱投影方法是将非稳态Navier-Stokes方程的时间离散过程采用具有二阶精度的投影方法,并采用配置点谱方法求解投影方法解耦后的方程。配置点谱方法不仅具有高精度并且容易克服圆柱坐标系的奇点问题。在轴向均匀的强磁场下,分析了磁场对旋转流动的影响,同时考虑顶盖、底盖和侧壁导电率的影响。结果表明,当顶盖壁面为绝缘条件下,哈特曼边界层出现,而在完全导电条件下,哈特曼边界层会随之消失,并且旋流区域更大。Based on spectral projection method,a numerical study of swirling flow,which is steady,axisymmetric and generated by the rotation of upper lid of an enclosed cylinder,is investigated. The spectral projection method is that a second order projection method is cho-sen to temporal discretize the Navier-Stokes equations,and the collocation spectral method is adopt to solve these undecoupled equations which are decoupled by the projection method. The collocation spectral method has the characteristic of high accuracy and is easy to overcome the pole problem in cylindrical coordinates system. In the presence of an axial uniform magnetic field,the effects of magnetic field on the swirling flow are analyzed,and the conductivities of the upper lid,lower base and side wall are considered. The results show that,when the conductivity of the upper lid is insulating,a Hartmann layer appears,and when the conductivity is perfectly conducting,the layer doesn't appear any more,meanwhile the circulation is stronger.

关 键 词：配置点谱方法 谱投影算法 旋转流动 磁场 

分 类 号：TV31[水利工程—水工结构工程]