Stability analysis of thermally induced spontaneous gas oscillations in straight and looped tubes.
Stability analysis of thermally induced spontaneous gas oscillations in straight and looped tubes.
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DOI：
10.1121/1.2939134
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发表时间：
2008-08
期刊：
影响因子：
--
通讯作者：
Y. Ueda;C. Kato
中科院分区：
文献类型：
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作者：
Y. Ueda;C. Kato
当沿管壁沿着施加的温度梯度高于临界值时，管内气体自发振荡。这种自发的气体振荡是由气体和管壁之间的热相互作用引起的。利用线性稳定性理论和传递矩阵方法，对热致气体振荡的稳定极限进行了数值研究。众所周知，由在环形管中发生的自发气体振荡激发的声波不同于在具有两端的直管中的声波;在环形管中引起行进声波，而在直管中引起驻波声波。计算了两种试管类型中稳定性限度的条件。计算和测量的条件进行了比较，发现是在良好的协议。通过改变气体的普朗特数的值进行的计算被用来确定环形和直管的稳定性极限的存在的原因。
A gas in a tube spontaneously oscillates when the temperature gradient applied along the wall of the tube is higher than the critical value. This spontaneous gas oscillation is caused by the thermal interaction between the gas and the tube wall. The stability limit of the thermally induced gas oscillation is numerically investigated by using the linear stability theory and a transfer matrix method. It is well known that an acoustic wave excited by the spontaneous gas oscillation occurring in a looped tube is different from that in a straight tube with two ends; a traveling acoustic wave is induced in a looped tube, whereas a standing acoustic wave is caused in a straight tube. The conditions for the stability limits in both tube types were calculated. The calculated and measured conditions were compared and were found to be in good agreement. Calculations performed by varying the value of the Prandtl number of the gas were used to determine the reasons for the existence of the stability limits of the looped and straight tubes.