Viscoplastic sheets and threads

Journal of Non-Newtonian Fluid Mechanics

Volumn 193, Issue , 2013, Pages 28-42

  Balmforth, N J ^a   Hewitt, I J ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Bending and buckling theory; Mathematical modelling; Viscoplastic fluids

Indexed keywords

BUCKLING THEORY; FREE END; LIQUID BRIDGE; VERTICAL COLUMNS; VISCOPLASTIC; VISCOPLASTIC FLUID;

MATHEMATICAL MODELS; PLASTIC FLOW;

VISCOPLASTICITY;

EID: 84872978819     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2012.05.007     Document Type: Article

References (16)

1. Balmforth N.J., Dubash N., Slim A. Extensional dynamics of viscoplastic filaments: I. Long-wave approximation and the Rayleigh instability. J. Non-Newt. Fluid Mech. 2010, 165:1139-1146.
2. Balmforth N.J., Dubash N., Slim A. Extensional dynamics of viscoplastic filaments: II. Drips and bridges. J. Non-Newt. Fluid Mech. 2010, 165:1147-1160.
3. Buckmaster J.D., Nachman A., Ting L. The buckling and stretching of a viscida. J. Fluid Mech. 1975, 69:1-20.
4. Howell I. Models for thin viscous sheets. Eur. J. Appl. Math. 1996, 7:321-343.
5. Kamrin K., Mahadevan L. Soft catenaries. J Fluid Mech. 2012, 691:165-177.
6. Koulakis J.P., Mitescu C.D., Brochard-Wyart F., de Gennes P.-G., Guyon E. The viscous catenary revisited: experiments and theory. J. Fluid Mech. 2008, 609:87-110.
7. Love A.E.H. The Mathematical Theory of Elasticity 1944, Dover.
8. Lubliner J. Plasticity Theory 2008, Dover.
9. Mahadevan L., Keller J.B. Periodic folding of thin sheets. SIAM Rev. 1999, 41:115-131.
10. Prager W., Hodge P.G. Theory of Perfectly Plastic Solids 1951, Wiley.
11. Ribe N.M. Buckling and stretching of thin viscous sheets. J. Fluid Mech. 2001, 433:135-160.
12. Ribe N.M. Periodic folding of viscous sheets. Phys. Rev. E 2003, 68:036305.
13. Ribe N.M. Coiling of viscous jets. Proc. Roy. Soc. Lond. A 2004, 460:3223-3239.
14. Taylor G.I. Instability of jets, threads and sheets of viscous fluid. Proc. 12th Intern. Conf. Appl. Mech. 1969, 382-389.
15. Teichman J., Mahadevan L. The viscous catenary. J. Fluid Mech. 2003, 478:71-80.
16. Trefethen L.N. Spectral Methods in MATLAB 2000, SIAM.