横向磁场作用下Taylor-Couette流动数值模拟  

Numerical Simulation of Taylor-Couette Flow under Transverse Magnetic Field

作　　者：董帅[1] 纪祥勇 吕二飞 李春曦[1] DONG Shuai;JI Xiangyong;L Erfei;LI Chunxi(School of Energy Power and Mechanical Engineering,North China Electric Power University,Baoding 071003,China)

机构地区：[1]华北电力大学能源动力与机械工程学院,河北保定071003

出　　处：《华北电力大学学报（自然科学版）》2021年第2期114-119,共6页Journal of North China Electric Power University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11302076);河北省自然科学基金资助项目(A2014502047);中央高校基本科研业务费资助项目(2018MS100).

摘　　要：采用Fluent模拟软件对横向磁场作用下液态金属镓的Taylor-Couette流动进行了数值模拟。考虑了有限长和无限长两种模型,模型半径比为1/2,长宽比为4。哈特曼数选取为0~50,雷诺数选取为10和259,分别对应层流Couette流动和Taylor-Couette流动两种工况。结果表明,对于雷诺数等于10工况,流体在横向磁场的作用下产生非轴对称的流型;随磁场强度增加,涡由圆环外侧移动到内侧,并呈现出扁平化趋势。对于雷诺数等于259工况,在磁场作用下,流场内泰勒涡尺寸变小,泰勒涡数量由2对增加至3对,并最终破裂。对于有限长和无限长模型,由于上下壁面边界条件不同,流型变化呈现出不同的特点。This paper adopts the Fluent simulation software to carry out a numerical simulation of the Taylor-Couette flow of liquid metal gallium under the action of a transverse magnetic field.We take two different models,the finite length model and the infinite length model with the radius ratio of 1/2 and the aspect ratio of 4.The Hartmann number is selected from 0 to 50,and the Reynolds number 10 and number 259 are selected corresponding to laminar Couette flow and Taylor-Couette flow respectively.The results show that when the Reynolds number is equal to 10,the fluid produces a non-axisymmetric flow pattern under the action of a transverse magnetic field.As the intensity of the magnetic field increases,the vortices move from the outside to the inside of the annulus and become flattened.When the Reynolds number is equal to 259,the Taylor vortices become smaller,and the number increases from 2 pairs to 3 pairs.Finally,they break down under the strong transverse magnetic field.Finite length and infinite length models present different characteristics of flow patterns due to their different wall boundary conditions.

关 键 词：横向磁场 层流Couette流动 Taylor-Couette流动 数值模拟 

分 类 号：O361.5[理学—流体力学]