幂律流体液膜破裂的线性稳定性分析

王枫; 富庆飞; 杨立军

幂律流体液膜破裂的线性稳定性分析

1.
西北工业大学航天学院, 西安 710072
2.
北京航空航天大学宇航学院, 北京 100191

计量
- 文章访问数: 1788
- HTML浏览量: 120
- PDF量: 504
- 被引次数: 0
出版历程
- 收稿日期: 2011-05-06
- 修回日期: 2011-07-10
- 刊出日期: 2012-04-28

Linear instability analysis of a power-law liquid sheet

1.
School of Astronautics, Northwestern Polytechnical University, Xi’an 710072
2.
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 为对凝胶推进剂撞击式喷嘴产生的液膜的破裂行为进行研究,使用线性稳定性分析方法并结合幂定律本构方程对幂律流体液膜的稳定性进行了研究,并对流体物性参数、流变参数等对液膜流动稳定性的影响规律进行了分析.结果发现:稠度系数、流动指数和表面张力越大,液膜表面扰动波的增长率越小,波长越大.而较高的液膜速度、气液密度比和液膜厚度都使扰动波增长率变大,但波长随液膜速度和气液密度比的增大而减小,而液膜厚度的情况却相反.理论计算与实验值的对比表明,线性稳定性分析能较准确地预测液膜的破碎长度,但预测的表面波长却大于实验值.
- 撞击式喷嘴 /
- 凝胶推进剂 /
- 幂律流体 /
- 线性稳定性分析 /
- 液膜
Abstract: In order to investigate the breakup behavior of the liquid sheet formed by gelled propellant impinging injector,a linear instability analysis method and the power-law constitutive equation were used.The effects of the liquid properties and rheological parameters on the stability of liquid sheet were studied.The results show that as the consistency coefficient,flow index and surface tension increase,the surface wave growth rate decreases and the wavelength increases.A larger liquid sheet velocity,gas to liquid density ratio and sheet thickness can accelerate the growth of surface wave.The wavelength decreases with the increase of sheet velocity and gas to liquid density ratio,while the opposite is true for liquid sheet thickness.The comparison between the theoretical and experimental results shows that the linear instability analysis method can predict the breakup length well,but the predicted wavelength is larger than experimental results.
- impinging injector /
- gelled propellant /
- power-law fluid /
- linear instability analysis /
- liquid sheet

HTML

参考文献(14)

[1]	杨伟东,张蒙正.凝胶推进剂流变及雾化特性研究与进展[J].火箭推进,2005,31(5):37-42. YANG Weidong,ZHANG Mengzheng.Research and development of rheological and atomization characteristics of gelled propellants[J].Journal of Rocket Propulsion,2005,31(5):37-42.(in Chinese)
[2]	Madlener K,Ciezki H K.Some aspects of rheological and flow characteristics of gel fuels with regard to propulsion application.AIAA 2009-5240,2009.
[3]	Mansour A,Chigier N.Air-blast atomization of non-Newtonian liquids[J].Journal of Non-Newtonian Fluid Mechanics,1995,58(2):161-194.
[4]	Rahimi S,Hasan D,Peretz A.Development of laboratory-scale gel-propulsion technology[J].Journal of Propulsion and Power,2004,20(1):93-100.
[5]	Dombrowski N,Johns W R.The aerodynamic instability and disintegration of viscous liquid sheets [J].Chemical Engineering Science,1963,18(3):203-214.
[6]	Ibrahim E A. Spatial instability of a viscous liquid sheet[J].Journal of Propulsion and Power,1995,11(1):146-152.
[7]	LIU Zhengbai,Brenn G,Durst F.Linear analysis of the instability of two-dimensional non-Newtonian liquid sheets[J]. Journal of Non-Newtonian Fluid Mechanics,1998,78(2):133-166.
[8]	Brenn G,LIU Zhengbai,Durst F.Three-dimensional temporal instability of non-Newtonian liquid sheets[J].Atomization and Sprays,2001,11(1):49-84.
[9]	Chojnacki K T,Feikema D A.Study of non-Newtonian liquid sheets formed by impinging jets.AIAA 1997-3335,1997.
[10]	Dombrowski N,Hooper P C.The effect of ambient density on drop formation in sprays[J].Chemical Engineering Science,1962,17(4):291-305.
[11]	Kim D,Im J,Koh H,Yoon Y.Effect of ambient gas density on spray characteristics of swirling liquid sheets[J].Journal of Propulsion and Power,2007,23(3):603-611.
[12]	Kim D,Yoon Y,Han P.Effect of flow condition and geometry on flow characteristics of a swirl injector //Proceedings of 16th Annual Conference on Liquid Atomization and Spray Systems.Monterey:ILASS Americas,2003:1-9.
[13]	FU Qingfei,YANG Lijun,QU Yuanyuan,et al.Linear stability analysis of a conical liquid sheet[J].Journal of Propulsion and Power,2010,26(5):955-968.
[14]	Heislbetz B,Madlener K,Ciezki H K.Breakup characteristics of a Newtonian liquid sheet formed by a doublet impinging jet injector.AIAA 2007-5694,2007.