Abstract

Stability to small perturbations of two-layered parabolic flow in a plane channel is analyzed. The dispersion relation between a disturbance wavelength and its growth rate is valid in the whole range of wavenumbers and for moderately large Reynolds numbers. The results coincide with known asymptotic theory conclusions. Besides, a new effect for flows not only with viscosity stratification but also with density stratification is revealed. The agreement with experimental data is acceptable.

中文翻译：

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两种粘性流体分层流动的线性稳定性

摘要

分析了平面通道中两层抛物线流对小扰动的稳定性。扰动波长与其生长速率之间的色散关系在整个波数范围内和对于中等大的雷诺数都是有效的。结果与已知的渐近理论结论一致。此外，揭示了不仅具有粘度分层而且具有密度分层的流动的新效果。与实验数据的一致性是可以接受的。