Frequency structure of the nonlinear instability of a dragged viscous thread

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 6, 2012, Pages

  Welch, Robert L ^a   Szeto, Billy ^a   Morris, Stephen W ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

A-PLANE; COMPLEX PATTERN; FINITE AMPLITUDE; FREQUENCY STRUCTURE; IMPROVED VISUALIZATION; MAIN FREQUENCY; MOVING SURFACES; MULTI FREQUENCY; NONLINEAR INSTABILITY; SUPERCRITICAL BIFURCATION; SURFACE SPEED; TRANSVERSE MOTIONS; VISCOUS FLUIDS;

BIFURCATION (MATHEMATICS);

NOZZLES;

EID: 84863316789     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.066209     Document Type: Article

References (18)

1. G. Barnes and R. Woodcock, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1996110 26, 205 (1958).
2. G. Barnes and J. MacKenzie, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1934765 27, 112 (1959).
3. For a recent review, see N. M. Ribe, M. Habibi, and D. Bonn, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev-fluid-120710-101244 44, 249 (2012).
4. G. I. Taylor, in Proceedings of the 12th International Congress on Applied Mechanics, edited by, M. Hetenyi, and, W. G. Vincenti, (Springer-Verlag, Berlin, 1969), p. 382.
5. M. Skorobogatiy and L. Mahadevan, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2000-00470-4 52, 532 (2000).
6. A. Herczyński, C. Cernuschi, and L. Mahadevan, Phys. Today PHTOAD 0031-9228 10.1063/1.3603916 64 (6), 31 (2011).
7. J. H. Fink and R. C. Fletcher, J. Volcanol. Geotherm. Res. JVGRDQ 0377-0273 10.1016/0377-0273(78)90034-3 4, 151 (1978).
8. S. Chiu-Webster and J. R. Lister, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006002503 569, 89 (2006). (Pubitemid 44756420)
9. N. M. Ribe, J. R. Lister, and S. Chiu-Webster, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2409617 18, 124105 (2006). (Pubitemid 46055924)
10. S. W. Morris, J. H. P. Dawes, N. M. Ribe, and J. R. Lister, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.066218 77, 066218 (2008).
11. M. J. Blount and J. R. Lister, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112011000085 674, 489 (2011).
12. M. Maleki, M. Habibi, R. Golestanian, N. M. Ribe, and D. Bonn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.214502 93, 214502 (2004). (Pubitemid 40011385)
13. N. M. Ribe, H. E. Huppert, M. A. Hallworth, M. Habibi and D. Bonn, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006009153 555, 275 (2006). (Pubitemid 44508871)
14. N. M. Ribe, Proc. R. Soc. London, Ser. A 1364-5021 10.1098/rspa.2004.1353 460, 3223 (2004). (Pubitemid 40522417)
15. N. M. Ribe, M. Habibi, and D. Bonn, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2336803 18, 084102 (2006). (Pubitemid 44317190)
16. For larger nozzle heights, the thread motion becomes more complex and a more detailed fit to the shape of the thread would be necessary to infer its contact point.
17. In 1855, Jules Antoine Lissajous studied the acoustic vibrations of pairs of tuning forks at right angles by reflecting light off small mirrors attached to them. The resulting patterns are sometimes known as Lissajous-Bowditch figures to recognize the prior work of Nathaniel Bowditch, who studied similar motions made by coupled pendula in 1815.
18. P.-T. Brun, N. M. Ribe, and B. Audoly, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3703316 24, 043102 (2012).