The viscous catenary revisited: Experiments and theory

Journal of Fluid Mechanics

Volumn 609, Issue , 2008, Pages 87-110

  Koulakis, John P ^a   Mitescu, Catalin D ^a   Brochard Wyart, Françoise ^b   De Gennes, Pierre Gilles ^d   Guyon, Etienne ^c  

^a POMONA COLLEGE   (United States)

^b CNRS   (France)

^c PSL RESEARCH UNIVERSITY   (France)

^d NONE

Author keywords

[No Author keywords available]

Indexed keywords

IMAGING TECHNIQUES;

COMPLEX SHAPES; ENERGY-BASED; FUNCTION OF TIME; HIGH VISCOSITY FLUIDS; INITIAL THICKNESS; STROBOSCOPIC IMAGING; TIME-SCALES; TWO-POINT;

OVERHEAD LINES;

EXPERIMENTAL STUDY; FLUID MECHANICS; THEORETICAL STUDY; VISCOSITY; VISCOUS FLOW;

EID: 48849084366     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008002413     Document Type: Article

References (24)

1. BARNES, G. & MACKENZIE, R. 1959 Height of fall versus frequency in liquid rope-coil effect. Am. J. Phys. 27, 112-115.
2. BARNES, G. & WOODCOCK, R. 1958 Liquid rope-coil effect. Am. J. Phys. 26, 205-209.
3. BATCHELOR, G. K. 1967 An introduction to Fluid Dynamics. Cambridge University Press.
4. BROCHARD-WYART, F. & DE GENNES, P.-G. 2007 The viscous catenary: A poor man's approach. Europhys. Lett. 80(3), 36001.
5. GUYON. E., HULIN, J.-P., PETIT, L. & MITESCU, C. D. 2001 Physical Hydrodynamics, pp. 329-330. Oxford University Press.
6. KOULAKIS, J. P. 2006 The viscous catenary. Pomona College BA thesis available at http://ccdl.libraries.claremont.edu/cdm4/ item_viewer.php?CISOROOT=/stc&CISOPTR=3.
7. KOULAKIS, J. P. & MITESCU, C. D. 2007 The viscous catenary. Phys. Fluids 19(9), 091103.
8. MAHADEVAN, L., Ryu, W. S. & SAMUEL, A. D. T. 1998 Fluid 'rope trick' investigated. Nature 392, 140.
9. MAHADEVAN, L., RYU, W. S. & SAMUEL, A. D. T. 2000 Correction: Fluid 'rope trick' investigated. Nature 403, 502.
10. MALEKI, M., HABIBI, M., GOLESTANIAN, R., RIBE, N. M. & BONN, D. 2004 Liquid rope coiling on a solid surface. Phys. Rev. Lett. 93(21), 214502
11. PLATEAU, J. 1873 Statique des liquides soumis aux seules forces moléculaires. Gauthier-Villars.
12. PLATEAU, J. 1881 Quelques expériences sur les lames liquides minces. In Bull. Acad. R. Belgique, 7, 8-18.
13. QUINTAS, M., BRANDAO, T. R. S., SILVA, C. L. M. & CUNHA, R. L. 2006 Rheology of supersaturated sucrose solutions. J. Food Engng 77, 844-852.
14. RAYLEIGH, LORD 1892 On the instability of a cylinder of viscous liquid under capillary force. Phil. Mag. 34(145)
15. RIBE, N. M. 2003 Periodic folding of viscous sheets. Phys. Rev. E 68, 036305.
16. RIBE, N. M. 2004 Coiling of viscous jets. In Proc. R. Soc. Lond. A 460, 3223-3239.
17. ROMBAUER, I. S., BECKER, M. R. & BECKER, E. 2006 Joy of Cooking 75th edn, pp. 855-857. Scribner.
18. ROY, A., MAHADEVAN, L. & THIFFEAULT, J.-L. 2006 Fall and rise of a viscoelastic filament. J. Fluid Mech. 563, 283-292.
19. STOKES, G. G. 1845 On the theories of the internal Alton of fluids in motion and of the equilibrium and motion of elastic solids. Trans. Camb. Phil. Soc. 8, 287-347.
20. TAYLOR, G. I. 1968 Instability of jets, threads, and sheets of viscous fluid. In Proc. 12th Intl Congr. Appl. Mech. pp. 382-388. Springer.
21. TEICHMAN, J. & MAHADEVAN, L. 2003 The viscous catenary. J. Fluid Mech. 478, 71-80.
22. TOMASZEWSKI, W., PIERANSKI, P. & GEMINARD, J.-C. 2006 The motion of a freely falling chain tip. Am. J. Phys. 74, 776-783.
23. TROUTONT, F. T. 1906 On the coefficient of viscous traction and its relation to that of viscosity. In Proc. R. Soc Lond. A 77 426-440.
24. ZYLSTRA, A. B. 2007 The dynamics of viscous filaments. Unpublished analysis of the results obtained in the summer of 2006 during his participation in the Pomona College Summer Undergraduate Research Program.