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Derivation of dispersion relations of liquid film in sprays by nonlinear stability theory(PDF)

长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2009年06期
Page:
93-97
Research Field:
Publishing date:
2009-12-20

Info

Title:
Derivation of dispersion relations of liquid film in sprays by nonlinear stability theory
Author(s):
CAO Jian-ming1; FENG Zhen-yu2
1.School of Automobile,Chang’an University,Xi’an 710064,Shaanxi,China;2.School of Science,Chang’an University,Xi’an 710064,Shaanxi,China
Keywords:
automobile engineering;  nonlinear stability theory;  plane liquid film spray;  dispersion relation
PACS:
U461
DOI:
-
Abstract:
The dimensionless dispersion relations of instability spray modeling under various phase angles of the surface waves on films two sides are built according to both liquid and gas phase nonlinear NS equations, additive control equation and boundary conditions. The results show that dimensionless dispersion relations are concerned with some dimensionless parameters, such as liquid Weber number, liquid Euler number, liquid and gas Reynolds number, gas Mach number. The gas disturbance amplitude difference on two surface waves and both liquid and gas complex eigenfrequency depends on Reynolds number. The wave shapes, breakup conditions, the most unstable frequency of breakup point, and stability of liquid jet change with these dimensionless parameters can be researched. 1 fig, 7 refs.

References:

［1］Jazayeri S A.Nonlinear analysis and experimental investigation of liquid sheet breakup［D］.Victoria:University of Victoria,1997.
[2]Jazayeri S A,Li X G.Nonlinear instability of plane liquid sheets［J］.Journal of Fluid Mechanics,2000,406:281308.
[3]Rangel R H,Sirignano W A.Nonlinear growth of KelvinHelmholtz instability: effect of surface view tension and density ratio［J］.Physical Fluids,1988,31:18451855.
[4]Lozano A,Olivares A G,Dopazo C.Instability growth leading to a liquid sheet breakup［J］.Physics of Fluids,1998,10 (9): 21882197.
[5]Tharakan T J,Ramamurthi K,Balakrishnan M.Nonlinear breakup of thin liquid sheets［J］.Acta Mech,2002,156 (1/2): 2946.
[6]周光坰,严宗毅,许世雄,等.流体力学［M］.北京：高等教育出版社,2002.
[7]岳晓峰，王谨，梁亮，等.油束雾化形成机理分析［J］.中国公路学报,2007,20(5):117121. YUE Xiaofeng,WANG Jin,LIANG Liang,et al.Analysis of fuel spray atomization mechanism［J］.China Journal of Highway and Transport,2007,20(5):117121.

Memo

Memo:
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Last Update: 2009-12-20