Acoustic Drift: Generating Helicity and Transferring Energy
This article studies the general properties of the Stokes drift field. This name is commonly used for the correction added to the mean Eulerian velocity for describing the averaged transport of the material particles by the oscillating fluid flows. Stokes drift is widely known mainly in connection w...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-11-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/13/11/767 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850267352273256448 |
|---|---|
| author | Andrey Morgulis |
| author_facet | Andrey Morgulis |
| author_sort | Andrey Morgulis |
| collection | DOAJ |
| description | This article studies the general properties of the Stokes drift field. This name is commonly used for the correction added to the mean Eulerian velocity for describing the averaged transport of the material particles by the oscillating fluid flows. Stokes drift is widely known mainly in connection with another feature of oscillating flows known as steady streaming, which has been and remains the focus of a multitude of studies. However, almost nothing is known about Stokes drift in general, e.g., about its energy or helicity (Hopf’s invariant). We address these quantities for acoustic drift driven by simple sound waves with finite discrete Fourier spectra. The results discover that the mean drift energy is partly localized on a certain resonant set, which we have described explicitly. Moreover, the mean drift helicity turns out to be completely localized on the same set. We also present several simple examples to discover the effect of the power spectrum and positioning of the spectral atoms. It is revealed that tuning them can drastically change both resonant and non-resonant energies, zero the helicity, or even increase it unboundedly. |
| format | Article |
| id | doaj-art-84f85a4e262e44f5bee9ed2f289b09de |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-84f85a4e262e44f5bee9ed2f289b09de2025-08-20T01:53:49ZengMDPI AGAxioms2075-16802024-11-01131176710.3390/axioms13110767Acoustic Drift: Generating Helicity and Transferring EnergyAndrey Morgulis0I.I. Vorovich Institute for Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-na-Donu 344092, RussiaThis article studies the general properties of the Stokes drift field. This name is commonly used for the correction added to the mean Eulerian velocity for describing the averaged transport of the material particles by the oscillating fluid flows. Stokes drift is widely known mainly in connection with another feature of oscillating flows known as steady streaming, which has been and remains the focus of a multitude of studies. However, almost nothing is known about Stokes drift in general, e.g., about its energy or helicity (Hopf’s invariant). We address these quantities for acoustic drift driven by simple sound waves with finite discrete Fourier spectra. The results discover that the mean drift energy is partly localized on a certain resonant set, which we have described explicitly. Moreover, the mean drift helicity turns out to be completely localized on the same set. We also present several simple examples to discover the effect of the power spectrum and positioning of the spectral atoms. It is revealed that tuning them can drastically change both resonant and non-resonant energies, zero the helicity, or even increase it unboundedly.https://www.mdpi.com/2075-1680/13/11/767oscillatory fluid flowsacoustic driftStokes’drifthelicityHopf’s invariant |
| spellingShingle | Andrey Morgulis Acoustic Drift: Generating Helicity and Transferring Energy Axioms oscillatory fluid flows acoustic drift Stokes’drift helicity Hopf’s invariant |
| title | Acoustic Drift: Generating Helicity and Transferring Energy |
| title_full | Acoustic Drift: Generating Helicity and Transferring Energy |
| title_fullStr | Acoustic Drift: Generating Helicity and Transferring Energy |
| title_full_unstemmed | Acoustic Drift: Generating Helicity and Transferring Energy |
| title_short | Acoustic Drift: Generating Helicity and Transferring Energy |
| title_sort | acoustic drift generating helicity and transferring energy |
| topic | oscillatory fluid flows acoustic drift Stokes’drift helicity Hopf’s invariant |
| url | https://www.mdpi.com/2075-1680/13/11/767 |
| work_keys_str_mv | AT andreymorgulis acousticdriftgeneratinghelicityandtransferringenergy |