几种不同波数时的角向扰动磁场
|
摘要
数值模拟了不同波数时,等离子体粘度的角向扰动磁场的演化规律,并与理想磁流体时的角向扰动磁场进行了比较,得到的主要结论是:等离子体压强较小时,大波数对应的角向扰动磁场为正值,小波数的角向扰动磁场为负值;等离子体压强较大时,大波数对应的角向扰动磁场也有负值出现。另外,当等离子体压强一定时,随着等离子体粘度的增加,角向扰动磁场的波动幅度越大。
We semi-analytically addressed the evolution of poloidal disturbed magnetic field with plasma viscosity at different wave numbers.The influence of the wave number,plasma pressure and viscosity on the poloidal disturbed magnetic field was investigated by numerically solving the 2~(nd)-order ordinary differential equations of eigen-functions(ξ_r),derived from ideal magneto-hydrodynamics equations via Flourier transformation.The numerical calculation results show that depending on the plasma pressure,the wave number has a major impact.At a low plasma pressure,a large(a small) wave number results in a positive(a negative) poloidal disturbed magnetic field;however,at a high plasma pressure,a large wave number also corresponds to a negative disturbed magnetic field;and at a fixed plasma pressure,an increase of the plasma viscosity heightens the fluctuation amplitude of poloidal disturbed magnetic field.
We semi-analytically addressed the evolution of poloidal disturbed magnetic field with plasma viscosity at different wave numbers.The influence of the wave number,plasma pressure and viscosity on the poloidal disturbed magnetic field was investigated by numerically solving the 2~(nd)-order ordinary differential equations of eigen-functions(ξ_r),derived from ideal magneto-hydrodynamics equations via Flourier transformation.The numerical calculation results show that depending on the plasma pressure,the wave number has a major impact.At a low plasma pressure,a large(a small) wave number results in a positive(a negative) poloidal disturbed magnetic field;however,at a high plasma pressure,a large wave number also corresponds to a negative disturbed magnetic field;and at a fixed plasma pressure,an increase of the plasma viscosity heightens the fluctuation amplitude of poloidal disturbed magnetic field.
引文
[1] 胡湘渝.可压缩Kelvin-Helmholtz不稳定性低耗散锐界面方法直接模拟[J].气体物理,2016,1(3):12-18
[2] 李嘉巍,陈耀,李中元.磁层顶边界层剪切流引起的MHD波模转化[J].地球物理学报,2006,49(1):16-21
[3] 张杨,丁宁.轴向流对Z箍缩等离子体稳定性的影响[J].物理学报,2006,55(5):2333-2339
[4] 魏新华,周国成,曹晋滨,等.无碰撞电流片低频电磁模不稳定性:MHD模型[J].物理学报,2005,54(7):3228-3235
[5] 李文浩,田朝,冯绅绅,等.大气压等离子体射流装置及应用研究进展[J].真空科学与技术学报,2018,38(8):695-707
[6] 张玉坤,李兰,王广宇,等.大气压氦气同轴双气隙介质阻挡辉光放电研究[J].机电产品开发与创新,2018,31(3):41-44
[7] 陈紫蒙,马天鹏,赵琼,等.大气压空气介质阻挡放电的数值模拟[J].东华大学学报(自然科学版),2018,44(3):485-494
[8] 白傲,汪建华,何硕,等.高气压不同碳源浓度对纳米金刚石薄膜生长影响研究[J].真空与低温,2018,24(2):107-111
[9] 李俊,毛保全,白向华,等.高温高压下CsNO3电离产生等离子体规律试验研究[J].装甲兵工程学院学报,2018,32(3):61-64
[10] 沈子君,彭璐,年鹏.高压放电等离子体协同过硫酸盐降解水中偶氮染料RR120[J].广州化工,2018,46(17):67-70
[11] 董帅,刘立帅,叶学民.磁场作用下平行平板内导电流体的流动稳定性[J].系统仿真学报,2017,29(8):1762-1771
[12] 任海骏.测地声模的扰动磁场与扰动磁矢分析[J].集成技术,2018,7(4):10-15
[13] 李琨,杨美霞,夏惠君,等.等离子体初始密度对激光支持爆轰波特性的影响[J].强激光与粒子束,2013,25(10):2501-2504
[14] 佟为明,陶宝泉,金显吉,等.多极Galatea磁阱中的等离子体逆磁效应[J].高电压技术,2016,42(12):3734-3740
[15] 代玉杰,柱对称磁约束等离子体Line-Tied不稳定性的数值模拟[D].大连:大连理工大学,2008
[16] Dai Yujie,Wang Xuehui.Linear Analysis of the Radial Perturbed Displacement in a Cylindrical Plasma[J].Chinese Journal of Physics,2014,52:205-214
[17] Evstatiev E G,Delzanno G L,Finn J M.A New Method for Analyzing Line-Tied Kink Modes in Cylindrical Geometry[J].Phys Plasmas,2006,13(7):072902-1-13
[18] Wang Xuehui,Dai Yujie,Li Feng,et al.Radial Perturbed Magnetic Field with Different Plasma Pressures and Viscosities[J].Chinese Journal of Physics,2017,55:1917-1921
[19] 张磊磊,代玉杰,王学慧等.不同等离子体压强时扰动磁场的演化规律[J].真空科学与技术学报,2013,33(10):991-994
[2] 李嘉巍,陈耀,李中元.磁层顶边界层剪切流引起的MHD波模转化[J].地球物理学报,2006,49(1):16-21
[3] 张杨,丁宁.轴向流对Z箍缩等离子体稳定性的影响[J].物理学报,2006,55(5):2333-2339
[4] 魏新华,周国成,曹晋滨,等.无碰撞电流片低频电磁模不稳定性:MHD模型[J].物理学报,2005,54(7):3228-3235
[5] 李文浩,田朝,冯绅绅,等.大气压等离子体射流装置及应用研究进展[J].真空科学与技术学报,2018,38(8):695-707
[6] 张玉坤,李兰,王广宇,等.大气压氦气同轴双气隙介质阻挡辉光放电研究[J].机电产品开发与创新,2018,31(3):41-44
[7] 陈紫蒙,马天鹏,赵琼,等.大气压空气介质阻挡放电的数值模拟[J].东华大学学报(自然科学版),2018,44(3):485-494
[8] 白傲,汪建华,何硕,等.高气压不同碳源浓度对纳米金刚石薄膜生长影响研究[J].真空与低温,2018,24(2):107-111
[9] 李俊,毛保全,白向华,等.高温高压下CsNO3电离产生等离子体规律试验研究[J].装甲兵工程学院学报,2018,32(3):61-64
[10] 沈子君,彭璐,年鹏.高压放电等离子体协同过硫酸盐降解水中偶氮染料RR120[J].广州化工,2018,46(17):67-70
[11] 董帅,刘立帅,叶学民.磁场作用下平行平板内导电流体的流动稳定性[J].系统仿真学报,2017,29(8):1762-1771
[12] 任海骏.测地声模的扰动磁场与扰动磁矢分析[J].集成技术,2018,7(4):10-15
[13] 李琨,杨美霞,夏惠君,等.等离子体初始密度对激光支持爆轰波特性的影响[J].强激光与粒子束,2013,25(10):2501-2504
[14] 佟为明,陶宝泉,金显吉,等.多极Galatea磁阱中的等离子体逆磁效应[J].高电压技术,2016,42(12):3734-3740
[15] 代玉杰,柱对称磁约束等离子体Line-Tied不稳定性的数值模拟[D].大连:大连理工大学,2008
[16] Dai Yujie,Wang Xuehui.Linear Analysis of the Radial Perturbed Displacement in a Cylindrical Plasma[J].Chinese Journal of Physics,2014,52:205-214
[17] Evstatiev E G,Delzanno G L,Finn J M.A New Method for Analyzing Line-Tied Kink Modes in Cylindrical Geometry[J].Phys Plasmas,2006,13(7):072902-1-13
[18] Wang Xuehui,Dai Yujie,Li Feng,et al.Radial Perturbed Magnetic Field with Different Plasma Pressures and Viscosities[J].Chinese Journal of Physics,2017,55:1917-1921
[19] 张磊磊,代玉杰,王学慧等.不同等离子体压强时扰动磁场的演化规律[J].真空科学与技术学报,2013,33(10):991-994