SPIRAL STRUCTURES FROM HEAVY PARTICLES AT PARAMETRICAL EXCITEMENT OF STANDING CAPILLARY WAVES


Cite this article as:

Kiyashko S. V., Afenchenko V. О., Nazarovsky А. V. SPIRAL STRUCTURES FROM HEAVY PARTICLES AT PARAMETRICAL EXCITEMENT OF STANDING CAPILLARY WAVES. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 2, pp. 201-208. DOI: https://doi.org/10.18500/0869-6632-2013-21-2-201-208


The paper presents experimental studies on the formation of spiral structures of heavy particles by the field of parametrically excited standing spiral waves. Particles move under the influence of the average currents field generated near the bottom in a viscous liquid by standing waves. The formation of structures has a threshold character and depends on the intensity of the field of standing waves. Formation of multi-armed structures revealed.

DOI: 
10.18500/0869-6632-2013-21-2-201-208
Literature

1. Ottino J.M. The kinematics of mixing: Stretching, chaos, and turbulence. Cambridge University press, Cambridge, 1989.

2. Gollub J.P. Nonlinear waves: Dynamics and transport // Physica D. 1991. Vol. 51. P. 501.

3. Mesquita O.N., Kane S., Gollub J.P. Transport by capillary waves: Fluctuating Stokes drift // Phys. Rev. A. 1992. Vol. 45, No 6. P. 3700.

4. Ramshankar R., Berlin D., Gollub J.P. Transport by capillary waves. Part I. Particle trajectories // Phys. Fluids A 2. 1990. P. 1955.

5. Ramshankar R., Gollub J.P. Transport by capillary waves. Part II: Scalar dispersios and the structure of the concentration field // Phys. Fluids A 3. 1991. P. 1344.

6. Ezersky A.B., Kiyashko S.V., Matusov P.A., Rabinovich M.I. Domains, domain walls and dislocations in capillary ripples // Europhys. Lett. 1994. Vol. 26, No 3. P. 183.

7. Ezersky A.B., Kiyashko S.V., Nazarovsky A.V. Bound states of topological defects in parametrically excited capillary ripples // Physica D. 2001. Vol. 152–153. P. 310.

8. Езерский А.Б., Кияшко С.В., Назаровский А.В. Перенос примеси топологическими дефектами поля параметрически возбуждаемой капиллярной ряби // Препринт No506 ИПФРАН, 1999.

9. Takagi S., Krinsky V., Pumir A., Frelin C. The use of Faraday instability to produce defined topological organization in cultures of mammalian cells // I. J. Bifurcation and Chaos. 2002. Vol. 12, No 9. P. 2009.

10. Kiyashko S.V., Korzinov L.N., Rabinovich M.I., Tsimring L.Sh. Rotating spirals in a Faraday experiment // Phys. Rev. E. 1996. Vol. 54, No 5. P. 5037.

11. Афенченко В.О., Езерский А.Б., Кияшко С.В., Назаровский А.Б. Новые типы топологических дефектов и возможности управления хаосом дефектов в паттернах поверхностных капиллярных волн // Нелинейный Мир. 2008. Т. 6, No 5–6. С. 304.

12. Afenchenko V.O., Ezersky A.B., Kaverin B.S., Kiyashko S.V., and Chesnokov S.A. Production of materials with periodically arranged microparticles by photopolymerization of patterns formed at parametric excitation of capillary surface waves // Physics of Wave Phenomena. 2011. Vol. 19, No 1. P. 68.

 

Status: 
одобрено к публикации
Short Text (PDF): 

BibTeX

@article{Кияшко-IzvVUZ_AND-21-2-201,
author = {S. V. Kiyashko and V. О. Afenchenko and А. V. Nazarovsky },
title = {SPIRAL STRUCTURES FROM HEAVY PARTICLES AT PARAMETRICAL EXCITEMENT OF STANDING CAPILLARY WAVES},
year = {2013},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {21},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/spiral-structures-from-heavy-particles-at-parametrical-excitement-of-standing-capillary},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2013-21-2-201-208},pages = {201--208},issn = {0869-6632},
keywords = {Pattern formation,capillary waves,transport of particles,topological defects.},
abstract = {The paper presents experimental studies on the formation of spiral structures of heavy particles by the field of parametrically excited standing spiral waves. Particles move under the influence of the average currents field generated near the bottom in a viscous liquid by standing waves. The formation of structures has a threshold character and depends on the intensity of the field of standing waves. Formation of multi-armed structures revealed. }}