摘要
燃烧的火焰在一定条件下会呈现出时间上的周期振荡行为,但人们对其背后的动力学机制一直不是很清楚。本文首先利用纹影法对蜡烛的火焰振荡行为进行了实验研究,发现随着火焰尺寸的增加火焰首先从平稳燃烧变为振荡燃烧,之后火焰的振荡频率会逐渐降低。通过简化的燃烧动力学模型,文中进一步对蜡烛火焰的振荡行为进行了数值和理论分析,发现火焰的振荡频率密切依赖于燃料的供应速率和火焰的体积。随着燃料供应速率和火焰体积的增大,火焰首先经历了一次霍普夫分岔进而从平稳燃烧变为振荡燃烧,之后火焰的振荡频率逐渐降低。理论分析结果与实验结论定性吻合。
An interesting dynamical behavior observed in flame is that under certain circumstances the flame could oscillate periodically,however the dynamic mechanism behind it was unclear.This paper first conducted an experimental study on the flame oscillation behavior of candles using the schlieren method.It was found that as the flame size increased,the flame first changed from stable combustion to oscillating combustion,and then the oscillation frequency of the flame gradually decreased.Through a simplified combustion dynamics model,numerical and theoretical analysis was further conducted on the oscillation behavior of candle flames.It was found that the oscillation frequency of the flame is closely dependent on the fuel supply rate and flame volume.As the fuel supply rate and flame volume increase,the flame first undergoes a Hopf bifurcation and then transitions from stable combustion to oscillatory combustion,then the oscillation frequency of the flame gradually decreased.The theoretical analysis results are qualitatively consistent with the experimental conclusions.
作者
张杰
张晨
徐术皓
于一真
王新刚
ZHANG Jie;ZHANG Chen;XU Shuhao;YU Yizhen;WANG Xingang(School of Physics and Information Technology,Shannxi Normal University,Xi'an,Shannxi 716001)
出处
《物理与工程》
2024年第1期137-142,共6页
Physics and Engineering
基金
陕西师范大学课堂教学模式创新研究项目(21KT-JG02)。
关键词
火焰燃烧
周期振荡
霍普夫分岔
纹影法
flame burning
periodic oscillation
Hopf bifurcation
schlieren method
