Second-sound phenomena in inviscid, thermally relaxing gases
Second-sound phenomena in inviscid, thermally relaxing gases
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无粘热弛豫气体中的第二声现象
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
P. Jordan
中科院分区：
文献类型：
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作者：
P. Jordan
我们考虑声波和热波在一类无粘热松弛气体中的传播，其中热流由麦克斯韦-卡塔内奥定律描述，即，在卡塔内奥--克里斯托夫毒气。首先在线性理论下考虑活塞起动问题，然后在弱非线性近似下研究行波现象。特别是，进行了冲击分析，从经典的气体动力学理论的预测进行比较，并推导出的参数的临界值。特殊情况下的结果也提出和连接到其他领域的注意。
We consider the propagation of acoustic and thermal waves in a class of inviscid, thermally relaxing gases wherein the flow of heat is described by the Maxwell--Cattaneo law, i.e., in Cattaneo--Christov gases. After first considering the start-up piston problem under the linear theory, we then investigate traveling wave phenomena under the weakly-nonlinear approximation. In particular, a shock analysis is carried out, comparisons with predictions from classical gases dynamics theory are performed, and critical values of the parameters are derived. Special case results are also presented and connections to other fields are noted.