Skip to main content
Have a personal or library account? Click to login
Vortexes as Systems Specific to the Acoustic World Cover

References

  1. Simaciu I., Borsos Z., Dumitrescu Gh., Nan G., Planck-Einstein-de Broglie relations for wave packet: the acoustic world, 2015, https://doi.org/10.48550/arXiv.1511.01049.
  2. Simaciu I., Dumitrescu Gh., Borsos Z., Drafta V., Analogy between the acoustic world and the electromagnetic world, preprint, Researchgate, DOI: 10.13140/RG.2.2.31459.77604.
  3. Simaciu I., Borsos Z., Dumitrescu Gh., Baciu A., Planck-Einstein-de Broglie type relations for the acoustic waves, 2016, https://doi.org/10.48550/arXiv.1610.05611.
  4. Simaciu I., Borsos Z., Baciu A., Nan G., The Acoustic World: Mechanical Inertia of Waves, Bul. Inst. Politeh. Iaşi, Secţ. Mat., Mec. Teor., Fiz. 62 (66), No. 4, 51-63, 2016.
  5. Simaciu I., Dumitrescu Gh., Borsos Z., Brădac M., Interactions in an acoustic world, arXiv:1612.00294v1, https://doi.org/10.48550/arXiv.1612.00294.
  6. Simaciu I., Dumitrescu Gh., Borsos Z., Brădac M., Interactions in an Acoustic World: Dumb Hole, Advances in High Energy Physics, Article ID 7265362, Volume 2018, https://doi.org/10.1155/2018/7265362.
  7. Simaciu I., Borsos Z., Dumitrescu Gh., Silva G.T., Bărbat T., Acoustic scattering-extinction cross section and the acoustic force of electrostatic type, arXiv:1711.03567, 2017, https://doi.org/10.48550/arXiv.1711.03567.
  8. Simaciu I., Borsos Z., Dumitrescu Gh., Silva G.T., Bărbat T., The acoustic force of electrostatic type, Buletinul Institutului Politehnic din Iaşi, Secţia Matematică. Mecanică Teoretică. Fizică, Volumul 65 (69), No. 2, 15-28, 2019.
  9. Simaciu I., Dumitrescu Gh., Borsos Z., Baciu A., Nan G., Acoustic Scattering-Absorption Cross Section of Electro-static Type, Buletinul Institutului Politehnic din Iaşi, Secţia Matematică. Mecanică Teoretică. Fizică, Volumul 65 (69), No. 2, 29-38, 2019.
  10. Simaciu I., Dumitrescu Gh., Borsos Z., Acoustic lens associated with a radial oscillating bubble, 2018, https://doi.org/10.48550/arXiv.1811.08738.
  11. Simaciu I., Dumitrescu Gh., Borsos Z., Drafta V., Acoustic lens associated with a radial oscillating bubble, Buletinul Institutului Politehnic din Iaşi, Secţia Matematică. Mecanică Teoretică. Fizică, Vol. 66 (70), No. 2, pp. 9-15, 2020.
  12. Simaciu I., Dumitrescu Gh., Borsos Z., Acoustic force of the gravitational type, 2019, https://doi.org/10.48550/arXiv.1905.03622.
  13. Simaciu I., Borsos Z., Dumitrescu Gh., Acoustic gravitational interaction revised, 2022, https://doi.org/10.48550/arXiv.2206.00435.
  14. Simaciu I., Borsos Z., Drafta V., Dumitrescu Gh., Quantitative analysis of secondary Bjerknes forces in various liquids, 2023, https://doi.org/10.48550/arXiv.2308.13530.
  15. Simaciu I., Dumitrescu Gh., Borsos Z., Drafta V., Compatibility of Maxwell’s fluid equations with interactions between oscillating bubbles, 2023 https://doi.org/10.48550/arXiv.2310.06875.
  16. Simaciu I., Dumitrescu Gh., Borsos Z., Mach’s Principle in the Acoustic World, arXiv:1907.05713, 2019, https://doi.org/10.48550/arXiv.1907.05713.
  17. Simaciu I., Dumitrescu Gh., Borsos Z., Baciu A., Mach’s Principle in the Acoustic World, Buletinul Institutului Politehnic din Iaşi, Secţia Matematică. Mecanică Teoretică. Fizică, Volumul 67 (71), No. 4, 59-69, 2021.
  18. Simaciu I., Dumitrescu Gh., Borsos Z., Drafta V., Dumb Hole Associated with an Oscillating Bubbles Cluster, 2020, https://doi.org/10.48550/arXiv.2007.04067.
  19. Borsos Z., Simaciu I., Dumitrescu Gh., Drafta V., Acoustic Black Hole Generated by a Cluster of Oscillating Bubbles, Buletinul Institutului Politehnic din Iaşi, Secţia Matematică. Mecanică Teoretică. Fizică, Volume 67(71), No. 4, pp. 89-96, 2021.
  20. Simaciu I., Borsos Z., Drafta V., Dumitrescu Gh., Phenomena in bubbles cluster, 2022, https://doi.org/10.48550/arXiv.2212.12790.
  21. Saffman P.G., Vortex Dynamics, Cambridge: Cambridge University Press, 1992.
  22. Kambe T., Elementary Fluid Mechanics, Nankai, 2005, DOI: 10.1142/5895.
  23. Maxworthy T., Some experimental studies of vortex rings, Journal of Fluid Mechanics, Volume 81, Issue 3, 13 July 1977, pp. 465-495, https://doi.org/10.1017/S0022112077002171.
  24. Tang Y., Wang P., Liu Y., An experimental study on evolution of vortex structures in perforated cavity structures driven by acoustic waves, INTER-NOISE and NOISE-CON Congress and Conference Proceedings, InterNoise 23, Chiba, Japan, pp. 1717-1724, 2023, https://doi.org/10.3397/IN_2023_0260.
  25. Moffatt K., A Brief Introduction to Vortex Dynamics and Turbulence, Environmental Hazards, pp. 1-27, 2011.
  26. Lugt H.J., Vortex Flow in Nature and Technology, New York: Wiley, 1983.
  27. Eloy C., Le Dizès S., Stability of the Rankine vortex in a multipolar strain field, Physics of Fluids, 13(3), 660-676, DOI: 10.1063/1.1345716,2001.
  28. Batchelor G.K., An introduction to fluid dynamics, Cambridge University Press, 2000.
  29. Shariff K., Leonard A., Vortex rings, Ann. Rev. Fluid Mech. 24, 235-79, 1992.
  30. Riley N., On the Behaviour of Pairs of Vortex Rings, The Quarterly Journal of Mechanics and Applied Mathematics, Volume 46, Issue 3, August 1993, 521-539, https://doi.org/10.1093/qjmam/46.3.521.
  31. Onsager L., Statistical Hydrodynamics, Il Nuovo Cimento, 6 (Suppl. 2) (2), 279-287, 1949.
  32. Feynman R. P., Application of quantum mechanics to liquid helium, Progress in Low Temperature Physics 1, 17-53, 1955.
  33. Matthews M. R., Anderson B. P., Haljan P. C., Hall D. S., Wieman C. E., Cornell E. A., Vortices in a Bose-Einstein Condensate, Physical Review Letters 83 (13), 2498-2501, 1999.
  34. Gauthier G., Reeves M. T., Yu X., Bradley A. S., Baker M. A., Bell T. A., Rubinsztein-Dunlop H., Davis M. J., Neely T. W., Giant vortex clusters in a two-dimensional quantum fluid, Science 364 (6447), 1264-1267, 2019.
  35. Kambe T., On the rotational state of a Bose-Einstein condensate, Fluid Dyn. Res. 46, 031418, 2014, DOI: 10.1088/0169-5983/46/3/031418.
  36. Kambe T., A new formulation of equations of compressible fluids by analogy with Maxwell’s equations, Fluid Dyn. Res. 42, 055502, 2010, doi:10.1088/0169-5983/42/5/055502.
  37. Jamati F., Analogy between vortex waves and EM waves, Fluid Dyn. Res. 50, 065511, 2018, DOI: 10.1088/1873-7005/aae16a.
  38. Landau L. D., Lifshitz E. M., Fluid Mechanics, Vol. 6, Third Rev. Ed., 1966.
  39. Jackson J. D., Classical Electrodynamics, 2nd ed., Wiley, New York, 1975.
  40. Ionescu-Pallas N., Vectorial Theory of Gravitation I, Romanian Reports in Physics, Vol. 45, No. 1, pp. 19-52, 1993; Vectorial Theory of Gravitation II, Romanian Reports in Physics, Vol. 48, No. 3-4, pp. 225-286, 1996.
  41. Clark S.J., Tucker R.W., Gauge symmetry and gravito-electromagnetism, Classical and Quantum Gravity 17 (19), 4125-4157, 2000; arXiv:gr-qc/0003115.
  42. Mashhoon B., Gravitoelectromagnetism: A Brief Review, arXiv:gr-qc/0311030, 2008.
  43. Arbab A.I., The analogy between electromagnetism and hydrodynamics, Physics Essays 24(2), 2011, DOI: 10.4006/1.3570825.
  44. Weinberg S., Gravitation and Cosmology. Principles and Applications of the General Theory of Relativity, Wiley, 1972.
  45. Adler R.J., Six easy roads to the Planck scale, Am. J. Phys. 78, 925-932, 2010, https://doi.org/10.1119/1.3439650.
  46. Solnyshkov D.D., Leblanc C., Koniakhin S.V., Bleu O., Malpuech G., Quantum analogue of a Kerr black hole and the Penrose effect in a Bose-Einstein condensate, Phys. Rev. B 99, 214511, 2019, DOI:https://doi.org/10.1103/PhysRevLett.83.2498.
  47. Dolce D., Internal times and how to second-quantize fields by means of periodic boundary conditions, Annals of Physics, Vol. 448, 169182, 2023, https://doi.org/10.1016/j.aop.2023.169398.
  48. Dolce D., Is Time a Cyclic Dimension? Canonical Quantization Implicit in Classical Cyclic Dynamics, 2024, pre-print, DOI:10.20944/preprints202403.0430.v1.
Language: English
Page range: 57 - 71
Submitted on: Dec 12, 2025
Accepted on: Apr 13, 2026
Published on: May 29, 2026
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2026 Ion Simaciu, Viorel Drafta, Zoltan Borsos, Gheorghe Dumitrescu, published by Gheorghe Asachi Technical University of Iasi
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.