含周期脉动的大密度比气液同轴射流的Floquet稳定性分析

李振; 胡国辉; 周哲玮

含周期脉动的大密度比气液同轴射流的Floquet稳定性分析

上海大学,上海市应用数学和力学研究所;上海市能源与环境中的关键力学问题重点实验室,上海200072

基金项目: 国家自然科学基金资助项目(10772107);上海市科委资助项目(071605102)

详细信息

作者简介:
李振(1984- ),男,湖北孝感人,硕士(E-mail:luckyzhen@gmail.com);胡国辉(1969- ),男,南昌人,教授(E-mail:hu.guohui@gmail.com);周哲玮(1950- ),男,武汉人,教授,博士生导师(联系人.Tel:+86-21-66134661;Fax:+86-21-66133382E-mail:zhwzhou@yc.shu.edu.cn).

中图分类号: O358
计量
- 文章访问数: 2796
- HTML全文浏览量: 105
- PDF下载量: 559
- 被引次数: 0
出版历程
- 收稿日期: 2008-07-07
- 修回日期: 2008-07-11
- 刊出日期: 2008-08-15

Floquet Instability of a Large Density Ratio Liquid-Gas Coaxial Jet With Periodic Fluctuation

Shanghai Institute of Applied Mathematics and Mechanics;Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai University, Shanghai 200072, P. R. China

摘要

摘要: 基于周期脉动速度激励下气液同轴射流的数学模型，运用线性稳定性理论，采用Chebyshev配点法和Floquet理论，将含周期脉动分层流的Floquet稳定性分析扩展到大密度比的情况．研究了液铝-氮气射流的参数共振特性，分析了不同的物理参数对系统稳定性的影响，计算了实验工况并和实验结果进行了比较．
- 射流稳定性 /
- Chebyshev配点法 /
- Floquet理论 /
- 参数共振 /
- 大密度比
Abstract: By the numerical simulation of basic flow,Floquet stability analyis of interfacial flow with periodic fiuctuation into lage density ratio range were extended.The stability of a liquid aluminum jet in a coaxial nitrogen stream with velocity fiuctuation Was investigated by Chebyshev collocation method and the Floquet.The parametric resonance of the jet and the influences of different physical parameters on the instability were discussed.The results show qualitative agreement with the experimental data available.
- jet stability /
- Chebyshev collocation /
- Floquet theory /
- parametric resonance /
- large density ratio

HTML全文

参考文献(20)

[1]	Plateau J.Statique experimentale et theorique des liquids soumle sux sseule forces[J].Moleculaire Gauthier Villars，1873，1(1):2-10.
[2]	Rayleigh Lord.On the instability of jets[J].Proc London Math Soc，1879，10(1):4-13.
[3]	Weber C Z.Zum zerfall eines flussigkeitsstrahles[J].Math Mech，1931，11(36):136-154.
[4]	Chandrasekhar S.Hydrodynamic and Hydromagnetic Stability[M].New York::Oxford University Press,1961,537.
[5]	Keller J B, Rubinow S I, Tu Y O.Spatial instability of a jet[J].Phys Fluids,1972,16(12):2052-2055.
[6]	Lin S P, Lian Z W.Mechnisms of the breakup of liquid Jet[J].AIAA Journal,1990,28(1):120-126. doi: 10.2514/3.10361
[7]	Lin S P, Ibrahim E A. Instability of a viscous liquid jet surrounded by a viscous gas in a vertical pipe[J].J Fluid Mech,1990,218:641-658. doi: 10.1017/S002211209000115X
[8]	Lin S P, Chen J N.Role played by the interfacial shear in the instability mechanism of a viscous liquid jet surrounded by a viscous gas in a pipe[J].J Fluid Mech,1998,376:37-51. doi: 10.1017/S0022112098002894
[9]	Grant N J. Rapid solidification of metallic particulates[J].Journal of Metals,1983,35(1):20-27.
[10]	Rai G, Lavernia E J,Grant N J. Powder size and distribution in ultrasonic gas atomization[J].Journal of Metals,1985,37(8):22-26.
[11]	Rai G, Lavernia E J,Grant N J. Effect of the atomisation variable on the powder characteristics in the USGA process[A].In:Proceedings of the Fifth International Powder Metallurgy Conference[C].Princeton,NJ:Metal Powder Industries Federation,1986,55-65.
[12]	ZHOU Zhe-wei,TANG Xiao-dong.The effect of the pulsation in gas flow on the stability of melted metal jet[A].In:Fourth Intenational Conference on Spray Forming[C].University of Marylaad,1999,35-41.
[13]	王艳霞, 胡国辉, 周哲玮.圆管内含周期脉动分层流的Floquet稳定性分析[J]. 应用数学和力学,2006,27(8):883-890.
[14]	Woods D R, Lin S P. Instability of a liquid film flow over a vibrating inclined plane[J].J Fluid Mech,1995,294:391-407. doi: 10.1017/S0022112095002941
[15]	Burya A G, Shkadov V Y.Stability of a liquid film flowing down an oscillating inclined surface[J].Fluid Dynamics,2001,36(5):671-681. doi: 10.1023/A:1013071331571
[16]	李小军, 胡国辉,周哲玮. 射流速度剖面形状变化及其对界面稳定性的影响[J]. 应用数学和力学, 2005,26(1):1-6.
[17]	向新民. 谱方法的数值分析[M].北京: 科学出版社, 2000,327.
[18]	贺建勋, 王志成. 常微分方程[M].上、中、下册.北京:科学技术出版社,1979.
[19]	Zhu J,Ru C Q,Mioduchowski A.High-order subharmonic parametric resonance of nonlinearly coupled micromechanical oscillators[J].Eur Phys J B,2007,58(4):411-421. doi: 10.1140/epjb/e2007-00250-0
[20]	Veistinen M K, Lavernia E J,Baram J C,et al.Jet behavior in ultrasonic gas atomization[J].The International Journal of Powder Metallurgy,1989,25(2):89-92.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2796
HTML全文浏览量: 105
PDF下载量: 559
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

含周期脉动的大密度比气液同轴射流的Floquet稳定性分析

作者简介:
李振(1984- ),男,湖北孝感人,硕士(E-mail:luckyzhen@gmail.com);胡国辉(1969- ),男,南昌人,教授(E-mail:hu.guohui@gmail.com);周哲玮(1950- ),男,武汉人,教授,博士生导师(联系人.Tel:+86-21-66134661;Fax:+86-21-66133382E-mail:zhwzhou@yc.shu.edu.cn).

计量

Floquet Instability of a Large Density Ratio Liquid-Gas Coaxial Jet With Periodic Fluctuation

计量

目录

留言板

含周期脉动的大密度比气液同轴射流的Floquet稳定性分析

作者简介: 李振(1984- ),男,湖北孝感人,硕士(E-mail:luckyzhen@gmail.com);胡国辉(1969- ),男,南昌人,教授(E-mail:hu.guohui@gmail.com);周哲玮(1950- ),男,武汉人,教授,博士生导师(联系人.Tel:+86-21-66134661;Fax:+86-21-66133382E-mail:zhwzhou@yc.shu.edu.cn).

计量

出版历程

Floquet Instability of a Large Density Ratio Liquid-Gas Coaxial Jet With Periodic Fluctuation

计量

出版历程

目录

作者简介:
李振(1984- ),男,湖北孝感人,硕士(E-mail:luckyzhen@gmail.com);胡国辉(1969- ),男,南昌人,教授(E-mail:hu.guohui@gmail.com);周哲玮(1950- ),男,武汉人,教授,博士生导师(联系人.Tel:+86-21-66134661;Fax:+86-21-66133382E-mail:zhwzhou@yc.shu.edu.cn).