Wave Structures in Ideal Gas Flows with an External Energy Source

Pub Date : 2023-09-01 DOI:10.1134/s0081543823040193

引用次数: 0

Abstract

We consider the propagation of plane waves in an ideal gas in the presence of external sources of energy inflow and dissipation. Using the Whitham criterion, we obtain conditions under which small perturbations of a constant solution are transformed into nonlinear quasiperiodic wave packets of finite amplitude that move in opposite directions. The structure of these wave packets is shown to be similar to roll waves in inclined open channels. We perform numerical calculations of the development of self-oscillations and the nonlinear interaction of waves. The calculations show that under a small harmonic perturbation of the initial equilibrium state, two types of wave structures can develop: roll waves and periodic two-peak standing waves.

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有外部能量源的理想气体流中的波浪结构

摘要我们考虑了存在外部能量流入和耗散源时平面波在理想气体中的传播问题。利用惠瑟姆准则，我们得到了恒定解的微小扰动转化为向相反方向运动的有限振幅非线性准周期波包的条件。这些波包的结构类似于倾斜明渠中的滚动波。我们对自振荡的发展和波的非线性相互作用进行了数值计算。计算结果表明，在初始平衡状态的微小谐波扰动下，会产生两种类型的波结构：滚动波和周期性双峰驻波。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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