Linear and nonlinear resonant interaction of sound waves in dissipative layers
Linear and nonlinear resonant interaction of sound waves in dissipative layers
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耗散层中声波的线性和非线性共振相互作用
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
M. Goossens
中科院分区：
文献类型：
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作者：
I. Ballai;R. Erdélyi;M. Goossens
本文利用Ballai和Erd ′ elyi发展的耗散稳态等离子体中的共振非线性磁流体动力学（MHD）波理论，在（a）线性近似、（B）弱非线性近似和（c）强非线性近似下，研究了稳态流动对MHD波非线性共振加热的影响。导出了磁流体慢波的非线性连接公式。然后利用这种非线性的磁流体驱动波理论研究了声波与一维各向同性稳态等离子体的相互作用。我们发现，在所考虑的限制范围内，稳定的平衡流可以显着影响共振吸收的效率。在强非线性情况下，谐振耦合的效率与线性理论中的反参数成正比，比例因子近似为1的数量级，证明了通常采用的线性近似的合理性。
The theory of resonant nonlinear magnetohydrodynamic (MHD) waves in dissipative steady plasmas developed by Ballai and Erd´ elyi is used to study the effect of steadyflows on nonlinear resonant heating of MHD waves in (a) linear, (b) weakly and (c) strongly nonlinear approximations. Nonlinear connection formulae for slow MHD waves are derived. This nonlinear theory of driven MHD waves is then used to study the interaction of sound waves with one-dimensional isotropic steady plasmas. We find that a steady equilibrium flow can significantly influence the efficiency of resonant absorption in the considered limits. In the case of strong nonlinearity, the efficiency of the resonant coupling is found to be proportional to thecounterpartobtainedinlineartheory.Thefactorofproportionisapproximately of the order of unity, justifying the commonly applied linear approximations.