Extensional deformation of non-Newtonian liquid bridges

Computational Mechanics

Volumn 21, Issue 6, 1998, Pages 461-476

  Gaudet, S ^a   McKinley, G H ^b  

^a UNIVERSITÉ DE MONCTON   (Canada)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; DEFORMATION; INTERFACES (MATERIALS); MATHEMATICAL MODELS; NUMERICAL METHODS; RHEOLOGY; RHEOMETERS; STRAIN; VISCOSITY OF LIQUIDS;

HENCKY STRAIN; UPPER CONVECTED MAXWELL CONSTITUTIVE MODELS;

NON NEWTONIAN LIQUIDS;

EID: 0032096042     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050325     Document Type: Article

References (32)

1. Berg S, Kröger R, Rath HJ (1994) Measurement of extensional viscosity by stretching large liquid bridges in microgravity. J. Non-Newtonian Fluid Mech. 55:307-319
2. Bird RB, Armstrong RC, Hassager O (1987) Dynamics of Polymeric Liquids. Fluid Mechanics vol. 1. New York: Wiley Interscience.
3. Burden RL, Faires JD (1985) Numerical Analysis, 3rd ed. Boston: Prindle, Weber & Schmidt
4. Bush MB (1984) In: Brebbia, CA (ed): Topics in Boundary Element Research, voL 5. Berlin; Springer-Verlag
5. Bush MB, Milthorpe JF, Tanner RI (1984) Finite element and boundary element methods for extrusion computations. J. Non-Newtonian Fluid Mech. 16:37-51
6. Bush MB, Tanner RI, Phan-Thien N (1985) A boundary element investigation of extrudate swell. J. Non-Newtonian Fluid Mech. 18:143-162
7. Ferguson J, Hudson NE (1993) Transient elongational rheology of polymeric fluids. Eur. Polym. J. 29:141-147
8. Gaudet S (1996) Extensional dynamics of liquid bridges and filament stretching devices. Ph.D. Thesis, Harvard University
9. Gaudet S, McKinley GH, Stone HA (1996) Extensional deformation of Newtonian liquid bridges. Phys. Fluids. 8:2568-2579
10. Gupta RK, Sridhar T (1988) Collyer AA, Clegg DW (ed): Rheological Measurement, pp. 211-245. London: Elsevier Applied Science.
11. Harlen OG (1996) Personal communication
12. Hermanksy CG, Boger DV (1995) Opposing-jet viscometry of fluids with viscosity approaching that of water. J. Non-Newtonian Fluid Mech. 56:1-14
13. James DF, Walters KA (1993) Techniques in Rheological Measurement. London: Elsevier.
14. Keiller RA (1992) Extending filaments of an Oldroyd fluid. J. Non-Newtonian Fluid Mech. 42:37-48
15. Keiller RA (1992) Modelling of the extensional flow of the M1 fluid with the Oldroyd equation. J. Non-Newtonian Fluid Mech. 42:49-64
16. Khagram M, Gupta RK, Sridhar T (1985) Extensional flow of xanthan gum solutions. J. Rheol. 29:191-207
17. Kreyszig E (1993) Advanced Engineering Mathematics, 7th ed. New York: John Wiley & Sons.
18. Lucas SK (1995) Some developments of me boundary integral equation method, and applications in free surface and elasticity problems. Ph.D. Thesis, University of Sydney.
19. Meissner J (1985) Chem. Eng. Commun. 33:159-180
20. Meissner J (1985) Rheometry of polymer melts. Ann. Rev. Fluid Mech. 17:45-64
21. Pozrikidis C (1992) Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.
22. Rallison JM (1997) Dissipative stresses in dilute polymer solutions. J. Non-Newtonian Fluid Mech. 68:61-83
23. Rallison JM, Acrivos A (1978) A numerical study of the deformation and burst of a viscous drop in an extensional flow. J. Fluid Mech. 89:191
24. Shipman RWG, Denn MM, Keunings R (1991) Mechanics of the "falling plate" extensional rheometer. J. Non-Newtonian Fluid Mech. 40:281-288
25. Spiegelberg SH, Ables DC, McKinley GH (1996) The role of end-effects on measurements of extensional viscosity in viscoelastic polymer solutions with a filament stretching rheometer. J. Non-Newtonian Fluid Mech. 64 (2-3), 229-267
26. Sridhar T, Tirtaatmadja V, Nguyen DA, Gupta RK (1991) Measurement of extensional viscosity of polymer solutions. J. Non-Newtonian Fluid Mech. 40:271-280
27. Tanzosh J, Manga M, Stone HA (1992) Boundary integral methods for viscous free-boundary problems: Deformation of single and multiple fluid-fluid interfaces. In: Proceedings of Boundary Element Technologies VII Brebbia, CA & Ingber, MS (eds): Computational Mechanics Publications, 19
28. Tirtaatmadja V, Sridhar T (1995) Comparison of constitutive equations for polymer solutions in uniaxial extension. J. Rheol. 39:1081-1160
29. Tirtaatmadja V, Sridhar T (1993) J. Rheol. 37:1081
30. Toose EM, Geurts BJ, Kuerten JGM (1995) A boundary integral method for two-dimensional (non)-Newtonian drops in slow viscous flow. J. Non-Newtonian Fluid Mech. 60:129-154
31. Trouton FT (1906) On the coefficient of viscous traction and its relation to that of viscosity. Proc. Roy. Soc. A. 77:426
32. Zheng R, Phan-Thien N (1992) A boundary element simulation of the unsteady motion of a sphere in a cylindrical tube containing a viscoelastic fluid. Rheologica Acta. 31:323-332