摘 要:
以边界层理论为基础,基于完整的边界条件,建立了切应力作用下沿倾斜壁面下降的液膜表面波的边界层模型,推导了边界层模型的Orr-Sommerfeld方程。利用摄动方法获得了扰动波的行波和扰动量的理论表达式,模型包括切应力、雷诺数、波数、表面张力、倾角等参数对液膜稳定性的影响,为进一步从理论上分析切应力作用下液膜表面波流动的稳定性特征奠定了基础。[著者文摘]
文章出处:
《华北电力大学学报》-2007年34卷1期 -55-58页
分 类 号:
文献标识码:
A
文章编号:
1007-2691(2007)01-0055-04
Linear stability equation of sheared liquid films
ZHANG Ying, YE Xue-min, WANG Song-ling, LI Chun-xi, ZHANG Tai-yan (School of Energy and Power Engineering, North China Electric Power University, Baoding 071003, China)
Abstract:
The Orr-Sommerfeld equation is established to describe the flow stability of surface waves on the liquid films under shear stress based on boundary layer theory and complete boundary conditions. The disturbance method is used to calculate the processing wave and the disturbance wave. The effects of shear stress, Reynolds number, wave number, surface tension,inclination angle and liquid property are considered in this model.[著者文摘]
Key words:
liquid film;flow stability;shear stress;crtical shear stress
基金资助:
高等学校博士学科点专项科研基金资助项目(20040079004).

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