Advances on linear instability analysis method of jet breakup

LI Shuaibing; SI Ting

doi:10.7638/kqdlxxb-2018.0153

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Advances on linear instability analysis method of jet breakup

更新时间：2026-05-28

- Advances on linear instability analysis method of jet breakup
- Vol. 37, Issue 3, Pages: 356-372(2019)
- 作者机构：
  
  中国科学技术大学近代力学系,合肥,230027
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2018.0153
  CLC： O358;O361.5
- Published：2019
- 稿件说明：
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李帅兵, 司廷. 射流破碎的线性不稳定性分析方法[J]. 空气动力学学报, 2019, 37(3): 356-372.

LI Shuaibing, SI Ting. Advances on linear instability analysis method of jet breakup[J]. 2019, 37(3): 356-372.
李帅兵, 司廷. 射流破碎的线性不稳定性分析方法[J]. 空气动力学学报, 2019, 37(3): 356-372. DOI： 10.7638/kqdlxxb-2018.0153.

LI Shuaibing, SI Ting. Advances on linear instability analysis method of jet breakup[J]. 2019, 37(3): 356-372. DOI： 10.7638/kqdlxxb-2018.0153.

摘要

线性不稳定性分析是目前处理柱状射流及复合射流破碎的最常用理论方法之一。该方法基于流体力学基本方程和边界条件，利用线化小扰动法和正则模法开展相关研究，能够成功预测实验中发现的不同流动现象和规律。线化小扰动法的原理是将非线性问题中涉及的物理量分解成零阶近似和小扰动，代入原非线性方程并略去高阶小量，从而使非线性问题转化为一阶近似的线性定解问题。正则模法是将小扰动量分解成一系列模态的叠加（比如Fourier级数形式），使每个模态都满足线性系统，从而将线性定解问题转化为求解广义特征值问题。正则模法适用于具有对称性的流场，根据小扰动的演化情况，可以分为时间模式、空间模式和时空模式。本文回顾了射流及复合射流线性不稳定性分析方法的主要内容和具体实施步骤，并选取流动聚焦这一代表性的微细射流生成技术，概述了线性不稳定性分析方法在实际中的应用，最后对已取得的相关成果进行了总结。

Abstract

Linear instability analysis is one of the most commonly used theoretical methods for investigating the breakup of single jet and compound jets with cylindrical shapes. The method employs the linearized small perturbations and the normal mode method based on the governing equations and boundary conditions of fluid dynamics to perform relevant investigations

and is able to predict different flow phenomena and rules observed in experiments. The principle of linearized small perturbation method can be characterized by decomposing physical quantities involved in nonlinear problems into zero-order approximations and small perturbations

substituting the results into the original nonlinear equations and omitting the high-order small quantities. Thus the nonlinear problems can be transformed into the first-order approximation of linear definite solution problem. The normal mode method is to decompose small disturbances into a series of modal superposition that meets the linear system. In this way

the problem of linear definite solution is transformed into the problem of solving generalized eigenvalue problem. The normal mode method is suitable for symmetric flow fields and can be divided into different modes in temporal domain

in spatial domain

and in spatio-temporal domain according to the evolution of small disturbances. In this review

the main content and the specific implementation steps of the linear instability analysis method on single jet and compound jets are analyzed. Taking the flow focusing that can generate microjets as an example

the practical applications of the linear instability analysis method are discussed. Finally

the related achievements are also summarized.

关键词

Keywords

references

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