Is there a relation between the relaxation time measured in CaBER experiments and the first normal stress coefficient?

Journal of Non-Newtonian Fluid Mechanics

Volumn 165, Issue 19-20, 2010, Pages 1265-1274

  Zell, A ^a   Gier, S ^a   Rafai S ^b   Wagner, C ^a  

^a SAARLAND UNIVERSITY   (Germany)

^b LIPHY   (France)

Author keywords

CaBER; Elongational viscosity; Normal stress; Polymer solutions

Indexed keywords

POLYMER SOLUTIONS; RELAXATION TIME; RHEOMETERS; SOLUTION MINING; VISCOSITY;

CABER; ELONGATIONAL FLOW; ELONGATIONAL VISCOSITY; EMPIRICAL RELATIONS; FIRST NORMAL STRESS DIFFERENCE; NORMAL STRESS; POLYMER CONCENTRATIONS; POLYMER VISCOSITY;

SHEAR FLOW;

EID: 80455148755     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2010.06.010     Document Type: Article

References (31)

1. Bazilevskii A.V., Voronkov S.I., Entov V.M., Rozhkov A.N. Orientational effects in capillary breakup of jets and threads of dilute polymer solutions. Sov. Phys. Dokl. 1981, 26:333.
2. Stelter M., Brenn G., Yarin A.L., Simgh R.P., Durst F. Validation and application of a novel elongational device for polymer solutions. J. Rheol. 2000, 44:595.
3. Stelter M., Brenn G., Yarin A.L., Simgh R.P., Durst F. Investigation of the elongational behavior of polymer solutions by means of an elongational rheometer. J. Rheol. 2002, 46:507.
4. Roscoe R. The steady elongation of elasto-viscous liquids. Br. J. Appl. Phys. 1965, 16:1567-1571.
5. Zimm B. Dynamics of polymer molecules in dilute solution: viscoelasticity, flow birefringence and dielectric loss. J. Chem. Phys. 1956, 24:269.
6. Rouse P. A theory of the linear viscoelastic properties of dilute solutions of coiling polymers. J. Chem. Phys. 1953, 21:1272.
7. Gupta R., Nguyen D., Sridhar T. Extensional viscosity of dilute polystyrene solutions: effect of concentration and molecular weight. Phys. Fluids 2000, 12:1296.
8. Sridhar T., Tirtaatmadja V., Nguyen D., Gupta R. Measurement of extensional viscosity of polymer solutions. J. Non-Newtonian Fluid Mech. 1991, 40(3):271-280.
9. Tirtaatmadja V., Sridhar T. A filament stretching device for measurement of extensional viscosity. J. Rheol. 1993, 37:1081.
10. Lindner A., Vermant J., Bonn D. How to obtain the elongational viscosity of dilute polymer solutions?. Phys. A: Stat. Mech. Appl. 2003, 319:125-133.
11. Fuller G., Cathey C., Hubbard B., Zebrowski B. Extensional viscosity measurements for low-viscosity fluids. J. Rheol. 1987, 31:235.
12. Plog J., Kulicke W., Clasen C. Influence of the molar mass distribution on the elongational behaviour of polymer solutions in capillary breakup. Appl. Rheol. 2005, 15(1):28-37.
13. Clasen C., Plog J., Kulicke W., Owens M., Macosko C., Scriven L., Verani M., McKinley G. How dilute are dilute solutions in extensional flows?. J. Rheol. 2006, 50:849.
14. Tirtaatmadja V., McKinley G., Cooper-White J. Drop formation and breakup of low viscosity elastic fluids: effects of molecular weight and concentration. Phys. Fluids 2006, 18:043101.
15. Amarouchene Y., Bonn D., Meunier J., Kellay H. Inhibition of the finite-time singularity during droplet fission of a polymeric fluid. Phys. Rev. Lett. 2001, 86(16):3558-3561.
16. Groisman A., Steinerg V. Mechanism of elastic instability in Couette flow of polymer solutions: experiment. Phys. Fluid 1998, 10:2451-2463.
17. Kivotudes D., Mitkin V.V., Theofanus T.G. Mesoscopic dynamics of polymer chains in high strain extensional flows. J. Non-Newtonian Fluid Mech. 2009, 161:69-85.
18. Bird R., Armstrong R., Hassager O. Dynamics of polymeric liquids, vol. 1, Fluid Mechanics 1987, John Wiley& Sons, New York.
19. Magda J.J., Lou J., Baek S.G., DeVries K.L. Second normal stress difference of a Boger fluid. Polymer 2000-2009, 32(11).
20. Schümmer P., Tebel K. A new elongational rheometer for polymer solutions. J. Non-Newtonian Fluid Mech. 1983, 12(3):331-347.
21. Clasen C., Eggers J., Fontelos M., Li J., McKinley G. The beads-on-string structure of viscoelastic threads. J. Fluid Mech. 2006, 556:283-308.
22. Sattler R., Wagner C., Eggers J. Blistering pattern and formation of nanofibers in capillary thinning of polymer solutions. Phys. Rev. Lett. 2008, 100(16):164502.
23. Renardy M. Some comments on the surface-tension driven break-up(or the lack of it) of viscoelastic jets. J. Non-Newtonian Fluid Mech. 1994, 51(1):97-107.
24. Renardy M. A numerical study of the asymptotic evolution and breakup of Newtonian and viscoelastic jets. J. Non-Newtonian Fluid Mech. 1995, 59(2-3):267-282.
25. Rodd L., Scott T., Cooper-White J., McKinley G. Capillary break-up rheometry of low-viscosity elastic fluids. Appl. Rheol. 2005, 15(1):12-27.
26. Oliveira M., McKinley G. Iterated stretching and multiple beads-on-a-string phenomena in dilute solutions of highly extensible flexible polymers. Phys. Fluids 2005, 17:071704.
27. Oliveira M., Yeh R., McKinley G. Iterated stretching, extensional rheology and formation of beads-on-a-string structures in polymer solutions. J. Non-Newtonian Fluid Mech. 2006, 137(1-3):137-148.
28. Macosko C. Rheology: principles, measurements, and applications 1994, VCH: Wiley-VCH, New York, NY.
29. Rubinstein M., Colby R. Polymer Physics 2003, Oxford University Press, USA.
30. Bird R.B., Deaguiar J.R. An encapsulated dumbell model for concentrated polymer solutions and melts. I. Theoretical development and constitutive equation. J. Non-Newtonian Fluid Mech. 1983, 13(2):149-160.
31. Quinzani L.M., McKinley G.H., Brown R.A., Armstrong R.C. Modeling the rheology of polyisobutylene solutions. J. Rheol. 1990, 34:705.