Criterion for extensional necking instability in polymeric fluids

Physical Review Letters

Volumn 107, Issue 25, 2011, Pages

  Fielding, Suzanne M ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL CALCULATION; LINEAR INSTABILITIES; MOLECULAR STRAIN; POLYMER CHAINS; POLYMER RHEOLOGY; POLYMERIC FLUID; STEADY STATE; UNIAXIAL EXTENSION;

ATOMIC PHYSICS; PHYSICS;

POLYMERS;

EID: 83655191142     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.107.258301     Document Type: Article

References (48)

1. R.G. Larson, Rheol. Acta 31, 213 (1992). RHEAAK 0035-4511 10.1007/BF00366504
2. S. Manneville, Rheol. Acta 47, 301 (2008). RHEAAK 0035-4511 10.1007/s00397-007-0246-z
3. G. McKinley and T. Sridhar, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 34, 375 (2002); 10.1146/annurev.fluid.34.083001.125207 (Pubitemid 35372028)
4. C. Petrie and M. Denn, AIChE J. 22, 209 (1976). AICEAC 0001-1541 10.1002/aic.690220202
5. A. Malkin and C. Petrie, J. Rheol. 41, 1 (1997). JORHD2 0148-6055 10.1122/1.550881
6. V. Tirtaatmadja and T. Sridhar, J. Rheol. 37, 1081 (1993). JORHD2 0148-6055 10.1122/1.550372
7. M. Yao, S. Spiegelberg, and G. McKinley, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 89, 1 (2000); 10.1016/S0377-0257(99)00028-2 (Pubitemid 30174567)
8. A. Tripathi, K. Tam, and G. McKinley, Macromolecules MAMOBX 0024-9297 39, 1981 (2006). 10.1021/ma051614x
9. F. Cogswell and D. Moore, Polym. Eng. Sci. 14, 573 (1974). PYESAZ 0032-3888 10.1002/pen.760140806
10. Y. Wang, Phys. Rev. Lett. 99, 237801 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.237801 (Pubitemid 350231927)
11. Y. Wang and S. Wang, Rheol. Acta 49, 1179 (2010). RHEAAK 0035-4511 10.1007/s00397-010-0491-4
12. V. Barroso and J. Maia, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 126, 93 (2005); 10.1016/j.jnnfm.2004.03.012
13. V. Barroso, J. Rheol. 54, 605 (2010). JORHD2 0148-6055 10.1122/1.3378791
14. J. Lee, Rheol. Acta 41, 567 (2002). RHEAAK 0035-4511 10.1007/s00397-002- 0244-0
15. N. Inkson, J. Rheol. 43, 873 (1999). JORHD2 0148-6055 10.1122/1.551036
16. J. Rothstein, J. Rheol. 47, 1227 (2003); JORHD2 0148-6055 10.1122/1.1603242
17. A. Bhardwaj, E. Miller, and J. Rothstein, J. Rheol. 51, 693 (2007). JORHD2 0148-6055 10.1122/1.2718974 (Pubitemid 47182280)
18. G.V. Vinogradov and A. Malkin, Rheology of Polymers (Mir, Moscow, 1980);
19. A. Malkin and G.V. Vinogradov, Polym. Sci. USSR 27, 245 (1985). PYSCAN 0032-3950 10.1016/0032-3950(85)90001-2 (Pubitemid 16532073)
20. P. Bhat, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 150, 211 (2008). 10.1016/j.jnnfm.2007.10.021
21. R. Sizaire and V. Legat, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 71, 89 (1997). 10.1016/S0377-0257(97)00013-X (Pubitemid 27416684)
22. M. Yao, G. McKinley, and B. Debbaut, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 79, 469 (1998). 10.1016/S0377-0257(98)00116-5 (Pubitemid 29109781)
23. M.I. Kolte, H.K. Rasmussen, and O. Hassager, Rheol. Acta 36, 285 (1997); RHEAAK 0035-4511 10.1007/s003970050047
24. O. Hassager, M. Kolte, and M. Renardy, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 76, 137 (1998); 10.1016/S0377-0257(97)00115-8
25. A. Lyhne, H. Rasmussen, and O. Hassager, Phys. Rev. Lett. 102, 138301 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.138301
26. L.O. Eastgate, J.S. Langer and L. Pechenik, Phys. Rev. Lett. PRLTAO 0031-9007 90, 045506 (2003). 10.1103/PhysRevLett.90.045506
27. P. Vincent, Polymer 1, 7 (1960). POLMAG 0032-3861 10.1016/0032-3861(60) 90003-3
28. Y. Ide and J. White, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 2, 281 (1977). 10.1016/0377-0257(77)80005-0
29. G. Pearson and R. Connelly, J. Appl. Polym. Sci. JAPNAB 0021-8995 27, 969 (1982). 10.1002/app.1982.070270316 (Pubitemid 12508092)
30. R. Lagnado, N. Phan-Thien, and L. Leal, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 18, 25 (1985). 10.1016/0377-0257(85)85010-2 (Pubitemid 15531329)
31. A. Leonov, J. Rheol. 34, 155 (1990). JORHD2 0148-6055 10.1122/1.550117
32. G. McKinley and O. Hassager, J. Rheol. 43, 1195 (1999). JORHD2 0148-6055 10.1122/1.551034
33. D. Olagunju, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 87, 27 (1999); 10.1016/S0377-0257(99)00007-5 (Pubitemid 30014968)
34. D. Olagunju, Int. J. Non-Linear Mech. IJNMAG 0020-7462 46, 73 (2011). 10.1016/j.ijnonlinmec.2010.07.005
35. Y. Joshi and M. Denn, J. Rheol. 47, 291 (2003); JORHD2 0148-6055 10.1122/1.1530622
36. Y. Joshi M. Denn J. Rheol. 48, 591 (2004). JORHD2 0148-6055 10.1122/1.1687788
37. M. Cromer, L. Cook, and G. McKinley, Chem. Eng. Sci. 64, 4588 (2009). CESCAC 0009-2509 10.1016/j.ces.2009.04.011
38. C. Petrie, Chem. Eng. Sci. 64, 4693 (2009). CESCAC 0009-2509 10.1016/j.ces.2009.03.004
39. M. Renardy and Y. Renardy, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 160, 168 (2009). 10.1016/j.jnnfm.2009.03.011
40. M. Doi and S.F. Edwards, J. Chem. Soc., Faraday Trans. 2 JCFTBS 0300-9238 75, 38 (1979). 10.1039/f29797500038
41. H. Chang and A.S. Lodge, Rheol. Acta RHEAAK 0035-4511 10, 448, (1971). 10.1007/BF01993725
42. M.M. Denn, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 33, 265 (2001). 10.1146/annurev.fluid.33.1.265 (Pubitemid 32573219)
43. Y.M. Joshi and M.M. Denn in Rheology Reviews, edited by, K. Walters, and, D. Bindings, (British Society of Rheology, Aberystwyth, U.K., 2004)
44. M. Considère, Ann. Ponts Chausées 9, 574 (1885).
45. J.W. Hutchinson and H. Obrecht, Proc. 4th International Conference on Fracture, Waterloo, Canada, Vol. 1, p. 101, (1977).
46. R.G. Larson, Constitutive Equations for Polymer Melts and Solutions (Butterworths, Boston, 1988).
47. A.E. Likhtman and R.S. Graham, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 114, 1 (2003). 10.1016/S0377-0257(03)00114-9 (Pubitemid 37156381)
48. M. Denn, C. Petrie, and P. Avenas, AIChE J. 21, 791 (1975). AICEAC 0001-1541 10.1002/aic.690210423