Nonlinear Amendments to Frequencies of Waves on Charged Cylindrical Jet Moving Relative to Material Medium
| Main Authors: | Grigoriev, A.I., Petrushov, N.A., Shiryaeva, S.O. |
|---|---|
| Format: | Article |
| Bahasa: | rus |
| Terbitan: |
, 2019
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/3244403 |
Daftar Isi:
- In asymptotic non-linear calculations of the third order of smallness for the dimensionless amplitude of capillary waves, an analytical solution to the task on calculation of the form of a jet of an ideal incompressible conductive liquid moving relative to a quite ideal incompressible dielectric material medium is found. Non-linear corrections to frequencies for capillary waves of arbitrary symmetry are revealed and it is shown that they generally have a complex appearance and their material part is alternating-sign. Still, in the framework of the asymptotic property of the received solution, it is impossible to speak about their influence on cutoff conditions of implementation of instability of a surface of a liquid. However in the field of the asymptotic property of the found solution, non-linear corrections have an impact on the values of frequencies and increments of instability. A qualitative type of frequencies, non-linear corrections, and increments depending on the charge parameter and Weber's parameter is considered.