Coiling of viscous jets

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 460, Issue 2051, 2004, Pages 3223-3239

  Ribe, Neil M ^a  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

Buckling instability; Fluid rope coiling; Viscous jet

Indexed keywords

TOOTHPASTE;

FREQUENCY ANALYSIS; HONEY; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MEASUREMENT; RADIUS; REVIEW; VISCOSITY;

EID: 17144423323     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2004.1353     Document Type: Review

References (23)

1. Barnes, G. & MacKenzie, J. 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. Cruickshank, J. O. 1980 Viscous fluid buckling: a theoretical and experimental analysis with extensions to general fluid stability. PhD thesis, Iowa State University, Ames, IA, USA.
4. Cruickshank, J. O. 1988 Low-Reynolds-number instabilities in stagnating jet flows. J. Fluid Mech. 193, 111-127.
5. Cruickshank, J. O. & Munson, B. R. 1981 Viscous fluid buckling of plane and axisymmetric jets. J. Fluid Mech. 113, 221-239.
6. Doedel, E., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Y. A., Sandstede, B. & Wang, X. J. 2002 AUTO97: continuation and bifurcation software for ordinary differential equations. (Available at http://indy.cs. concordia.ca/auto/.)
7. Entov, V. M. & Yarin, A. L. 1984 The dynamics of thin liquid jets in air. J. Fluid Mech. 140, 91-111.
8. Green, A. E. & Zerna, W. 1992 Theoretical elasticity. New York: Dover.
9. Griffiths, R. W. & Turner, J. S. 1988 Folding of viscous plumes impinging on a density or viscosity interface. Geophys. J. 95, 397-419.
10. Huppert, H. E. 1986 The intrusion of fluid mechanics into geology. J. Fluid Mech. 173, 557-594.
11. Mahadevan, L. & Keller, J. B. 1996 Coiling of flexible ropes. Proc. R. Soc. Lond. A 452, 1679-1694.
12. Mahadevan, L., Ryu, W. S. & Samuel, A. D. T. 1998 Fluid 'rope trick' investigated. Nature 392, 140.
13. Mahadevan, L., Ryu, W. S. & Samuel, A. D. T. 2000 Correction: fluid 'rope trick' investigated. Nature 403, 502.
14. Maleki, M., Habibi, M., Golestanian, R., Ribe, N. & Bonn, D. 2004 Liquid rope coiling. (Submitted.)
15. Pearson, J. R. A. 1985 Mechanics of polymer processing. Elsevier.
16. Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P. 1996 Numerical recipes in FORTRAN77: the art of scientific computing. 2nd edn. Cambridge University Press.
17. Ribe, N. M. 2002 A general theory for the dynamics of thin viscous sheets. J. Fluid Mech. 457, 255-283.
18. Ribe, N. M. 2003 Periodic folding of viscous sheets. Phys. Rev. E 68, 036305.
19. Skorobogatiy, M. & Mahadevan, L. 2000 Folding of viscous sheets and filaments. Europhys. Lett. 52, 532-538.
20. Taylor, G. I. 1968 Instability of jets, threads, and sheets of viscous fluid. In Proc. 12th Int. Cong. Applied Mechanics. Springer.
21. Tchavdarov, B., Yarin, A. L. & Radev, S. 1993 Buckling of thin liquid jets. J. Fluid Mech. 253, 593-615.
22. Tome, M. F. & McKee, S. 1999 Numerical simulation of viscous flow: buckling of planar jets. Int. J. Numer. Meth. Fluids 29, 705-718.
23. Whittaker, E. T. 1944 A treatise on the analytical dynamics of particles and rigid bodies, 4th edn. New York: Dover.