NONLINEAR INSTABILITY ANALYSIS OF POWER-LAW SHEETS

被引:1
|
作者
Liu, L. [1 ,2 ]
Yang, L. [1 ]
Liu, X. [2 ]
Liu, S. [2 ]
机构
[1] Beihang Univ, Sch Astronaut, Dept Prop, 37 Xueyuan Rd, Beijing 100191, Peoples R China
[2] Beijing Soc Thermophys & Energy Engn, 11 Yi,Zhongguancun Rd, Beijing 100190, Peoples R China
关键词
Carreau law; nonlinear stability; shear-thinning; asymptotic expansion; FILM FLOW; FLUIDS;
D O I
10.14311/TPFM.2017.026
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Research on nonlinear instability of Power-law plane sheets has been conducted using Carreau law. Combined with asymptotic expansion and long wave assumption, the governing equations and boundary conditions were performed using integral transform. The first-order dimensionless dispersion relation between unstable growth rate and wavenumber was obtained and the second-order interface disturbance amplitude was calculated. By comparison and analysis of components of the second-order interface disturbance amplitude, the effects of power-law index n (n<1) were investigated and the condition under which the shear-thinning effect can be evident was concluded, thus contributing to theoretical basis and technological means to improve atomization of power-law sheets.
引用
收藏
页码:203 / 210
页数:8
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