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WAVE GENERATION BY A PULSING DIPOLE IN A FLUID IN THE PRESENCE OF A SHEAR LAYER
- Authors: Sturova I.V1, Tkacheva L.A1
-
Affiliations:
- Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences
- Issue: No 5 (2025)
- Pages: 70–82
- Section: Articles
- URL: https://journals.rcsi.science/1024-7084/article/view/376636
- DOI: https://doi.org/10.7868/S3034534025050071
- ID: 376636
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Abstract
A linear problem of oscillations of a circular cylinder, modeled by a dipole, in a fluid with a shear layer, either near the surface or near the bottom, is solved. The presence of a shear layer results in the dispersion relation for the resulting wave motions having blocking points. For a near-surface shear layer, there are two, and for a bottom shear layer, there is only one. When the dipole oscillates with a frequency close to the blocking frequency, the amplitudes of some wave modes grow indefinitely, making the linear approximation unsuitable. The free surface elevations and interfaces between layers are investigated in a non-stationary problem where the dipole oscillations begin from rest, as well as the amplitudes of far-field waves during steady-state motion.
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About the authors
I. V Sturova
Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences
Email: sturova@hydro.nsc.ru
Novosibirsk, Russia
L. A Tkacheva
Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences
Email: tkacheva@hydro.nsc.ru
Novosibirsk, Russia
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