热传导对横截面不同的直管道中Kelvin-Helmholtz不稳定性的影响

Effect of thermal conduction on Kelvin-Helmholtz instability in straight pipe with different cross-sections

Kelvin-Helmholtz不稳定性(KHI)增长的动力学分析是一个活跃的研究领域.本文解析研究了流体在横截面不同的直管道中流动时,热传导对KHI的影响.结果表明:管道中上下流体的界面相对切向速度会随着波数的增加先增加后减小,并且小的界面热传导系数导致相对切向速度随波数的减小更多,不同于横截面相同的直管道结果.另外,热传导会提高KHI的增长率,与横截面相同的直管道一致.研究结果可以为实际管道中流体不稳定性的分析以及管道的通风设计和供暖等工程研究提供一定参考.

We investigate analytically the effect of thermal conduction on the Kelvin-Helmholtz instability(KHI)in a straight pipe with different cross-sections.The results show that the relative tangential velocity of the interface between the upper and lower fluid in the pipe first increases and then decreases with the increase of the wave number.Furthermore,the smaller coefficient of inter facial heat conduction causes the relative tangential velocity to decrease considerably with the increase of the wave number,which is different from the behavior of the straight pipeline with the same cross-section.In addition,the heat conduction increases the growth rate of KHI,which is in accordance with the scenario of straight pipeline with the same cross-section.