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剪切液膜线性化稳定方程 被引量:5

Linear stability equation of sheared liquid films
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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。 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.
出处 《华北电力大学学报(自然科学版)》 CAS 北大核心 2007年第1期55-58,共4页 Journal of North China Electric Power University:Natural Science Edition
基金 高等学校博士学科点专项科研基金资助项目(20040079004)
关键词 液膜 流动稳定性 气流剪切力 临界切应力 liquid film flow stability shear stress crtical shear stress
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参考文献10

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二级参考文献11

  • 1叶学民 阎维平(Ye Xuemin Yah Weiping).沿倾斜壁面下降的蒸发或冷凝降膜二维表面波的线性稳定性(Linear stability of the twodimensional waves of evaporating/condensing film draining down an inclined plate) [J].西安交通大学学报,. 被引量:1
  • 2BENJAMIN G B. Wave formation in laminar flow down an inclined plane[J]. J Fluid Mech, 1957, 2:554-574. 被引量:1
  • 3YIH C S. Stability of liquid flow down an inclined plane[J]. Phys Fluids, 1963, 6(3):321-335. 被引量:1
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  • 10叶学民,阎维平.沿倾斜壁面下降的蒸发/冷凝降膜二维表面波的线性稳定性[J].西安交通大学学报,2002,36(1):25-29. 被引量:11

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