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旋转液膜在旋转气流剪切下的三维扰动线性稳定性分析

孙晓强 严红 陈福振

孙晓强, 严红, 陈福振. 旋转液膜在旋转气流剪切下的三维扰动线性稳定性分析[J]. 航空动力学报, 2026, 41(6):20240562 doi: 10.13224/j.cnki.jasp.20240562
引用本文: 孙晓强, 严红, 陈福振. 旋转液膜在旋转气流剪切下的三维扰动线性稳定性分析[J]. 航空动力学报, 2026, 41(6):20240562 doi: 10.13224/j.cnki.jasp.20240562
SUN Xiaoqiang, YAN Hong, CHEN Fuzhen. Linear stability analysis of three dimensional perturbations on swirling liquid sheet sheared by swirling gas flows[J]. Journal of Aerospace Power, 2026, 41(6):20240562 doi: 10.13224/j.cnki.jasp.20240562
Citation: SUN Xiaoqiang, YAN Hong, CHEN Fuzhen. Linear stability analysis of three dimensional perturbations on swirling liquid sheet sheared by swirling gas flows[J]. Journal of Aerospace Power, 2026, 41(6):20240562 doi: 10.13224/j.cnki.jasp.20240562

旋转液膜在旋转气流剪切下的三维扰动线性稳定性分析

doi: 10.13224/j.cnki.jasp.20240562
基金项目: 国家自然科学基金(11902267,12172298); 国家重点研发计划“高性能”计算重点专项(2017YFB0202402); 陕西省重点研发计划项目(2022SF-151); 太仓市科技计划项目(TC2022JC10)
详细信息
    作者简介:

    孙晓强(1992-),男,工程师,博士,研究方向为气液多相流数值算法。E-mail:01sunxiaoqiang@sina.com

    通讯作者:

    严红(1969-),女,教授,博士,研究方向为燃油雾化与燃烧、复杂流动控制。E-mail:yanhong@nwpu.edu.cn

  • 中图分类号: V19

Linear stability analysis of three dimensional perturbations on swirling liquid sheet sheared by swirling gas flows

  • 摘要:

    针对先进航空发动机燃烧室广泛采用的气动雾化形式,将核心物理现象简化为旋转液膜在内外侧旋流空气作用下的扰动破碎。从理论角度对这一过程进行了线性稳定性分析,给出了详细的推导与数值求解步骤。讨论了实验物性参数两相旋转运动对界面扰动特性的影响。内侧气流旋转运动对轴对称扰动有促进作用,外侧气流旋转有相反作用,主导扰动波数随液膜自身旋转强度增加而线性增长。对于高阶周向模态,内外侧旋转气流激发的扰动增长范围分别是轴对称模态的54.6%和35.1%。将理论结果与相近条件下的气动雾化隐式大涡模拟进行对比。内侧高速气流条件下,稳定性分析得到的主导扰动频率为2 546.5 Hz,与数值结果基本一致,外侧高速气流条件稳定性分析正确预测了扰动发展的趋势。通过理论计算,加深了对旋转条件气液相互作用机理的认识。

     

  • 图 1  环形液膜在内外侧气流作用下变形示意图

    Figure 1.  Sketch of deformation of ring sheet with inner and outer gas flow

    图 2  内侧轴向气液速度比对扰动增长率的影响$ {\overline{\rho }}_{\text{r}}=1.29\times {10}^{-3} $, $ {\overline{r}}_{\text{i}}=48,{\overline{r}}_{\text{o}}=50 $

    Figure 2.  Influence of inner gas-liquid axial velocity ratio on the perturbation growth rate $ {\overline{\rho }}_{\text{r}}=1.29\times {10}^{-3} $, $ {\overline{r}}_{\text{i}}=48,{\overline{r}}_{\text{o}}=50 $

    图 3  外侧轴向气液速度比对扰动增长率的影响

    Figure 3.  Influence of outer gas-liquid axial velocity ratio on the perturbation growth rate

    图 4  内侧气流旋转强度对扰动增长率的影响$ {\overline{\rho }}_{\text{r}}=0.002 $, $ {\overline{u}}_{\text{i}{\textit{z}}}={\overline{u}}_{\text{o}{\textit{z}}}=2.0 $

    Figure 4.  Influence of inner gas swirling strength on the perturbation growth rate $ {\overline{\rho }}_{\text{r}}=0.002 $, $ {\overline{u}}_{\text{i}{\textit{z}}}={\overline{u}}_{\text{o}{\textit{z}}}=2.0 $

    图 5  内侧气流旋转对扰动增长率及主导波数的影响

    Figure 5.  Influence of inner gas swirling on the perturbation growth rate and dominant wavenumber

    图 6  外侧气流旋转对扰动增长率及主导波数的影响

    Figure 6.  Influence of outer gas swirling on the perturbation growth rate and dominant wavenumber

    图 7  液膜旋转对扰动增长率及主导波数的影响

    Figure 7.  Influence of liquid swirling on the perturbation growth rate and dominant wavenumber

    图 8  内侧周向扰动模态对扰动增长率及主导波数的影响

    Figure 8.  Influence of inner circumferential perturbation mode on the perturbation growth rate and dominant wavenumber

    图 9  外侧周向扰动模态对扰动增长率及主导波数的影响

    Figure 9.  Influence of outer circumferential perturbation mode on the perturbation growth rate and dominant wavenumber

    图 10  液膜周向模态对扰动增长率及主导波数的影响

    Figure 10.  Influence of liquid circumferential mode on the perturbation growth rate and dominant wavenumber

    图 11  液膜及内侧气流旋转强度对扰动增长率影响

    Figure 11.  Influence of swirling strength of liquid and inner gas on the perturbation growth rate

    图 12  内外侧高速气流条件气动雾化过程模拟

    Figure 12.  Simulations of airblast atomization under high velocity conditions of inner and outer gas flows

    图 13  跨越液膜厚度的旋转速度大小分布

    Figure 13.  Distribution of swirling velocity magnitudes across the liquid sheet thickness

    图 14  内外侧高速气流条件连续液膜附近压力分布

    Figure 14.  Pressure distribution near the continuous liquid sheet under high velocity conditions of inner and outer gas

    图 15  液膜内及内外侧监测点速度频率分布($ {u}_{\text{g,i}}=23.2 \;\text{m}/\text{s} $)

    Figure 15.  Frequency distribution of velocity at monitors inside the liquid film and below and above its interface ($ {u}_{\text{g,i}}=23.2\; \text{m}/\text{s} $)

    图 16  液膜内外侧监测点速度频率分布特征, P1$ (y/{D}_{\text{i}}=1) $, P3$ (y/{D}_{\text{i}}=1.4) $

    Figure 16.  Frequency distribution characteristics of velocity of monitors below and above liquid sheet interface, P1$ (y/{D}_{\text{i}}=1) $, P3$ (y/{D}_{\text{i}}=1.4) $

    图 17  内外侧高速气流条件扰动增长的线性稳定性分析

    Figure 17.  Linear stability analysis of perturbation growth under high velocity conditions of inner and outer gas

    表  1  气动雾化过程数值模拟参数

    Table  1.   Simulation parameters for the airblast atomization process

    参数 数值
    计算域边长$ L $/mm 200
    外侧旋转气流外直径$ {D}_{\text{o}} $/mm 14
    外侧旋转气流厚度$ {h}_{\text{o}} $/mm 3.5
    旋转液膜外直径$ {D}_{\text{l}} $/mm 7
    旋转液膜厚度$ {h}_{\text{l}} $/mm 1
    内侧旋转气流外直径$ {D}_{\text{i}} $/mm 5
    内侧旋转气流厚度$ {h}_{\text{i}} $/mm 2
    气相动力黏度$ {\mu }_{\text{g}} $/10−5 (kg/(m·s)) $ 1.8 $
    液相动力黏度$ {\mu }_{\text{l}} $/10−3 (kg/(m·s)) $ 1.8 $
    气相密度$ {\rho }_{\text{g}} $/(kg/m3 1.293
    液相密度$ {\rho }_{\text{l}} $/(kg/m3 800.0
    表面张力系数$ \sigma $/(kg/s2 0.036
    外侧气流入射速度$ {u}_{\text{g,o}} $/(m/s) 5.2, 23.2
    内侧气流入射速度$ {u}_{\text{g,i}} $/(m/s) 23.2, 5.2
    液膜入射速度$ {u}_{\text{l}} $/(m/s) 5.0
    喷雾半锥角$ \theta $/(°) 30
    下载: 导出CSV
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  • 收稿日期:  2024-08-12
  • 网络出版日期:  2026-03-16

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