On the polymer entropic force singularity and its relation to extensional stress relaxation and filament recoil

Journal of Rheology

Volumn 48, Issue 1, 2004, Pages 209-221

  Shaqfeh, Eric S G ^a   McKinley, Gareth H ^b   Woo, Nathanael ^a   Nguyen, D A ^c   Sridhar, Tam ^c  

^a Stanford University   (United States)

^b Massachusetts Institute of Technology Cambridge   (United States)

^c MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

POWER LAW STRESS DECAY FUNCTIONS; TRANSIENT EXTENSIONAL RHEOLOGY;

APPROXIMATION THEORY; FUNCTIONS; POLYSTYRENES; SOLUTIONS; STRAIN; STRESS RELAXATION; TENSILE STRESS;

RHEOLOGY;

EID: 1642414440     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.1626679     Document Type: Article

References (24)

1. Anna, S. L., G. H. McKinley, D. A. Nguyen, T. Sridhar, S. J. Muller, J. Huang, and D. F. James, "An interlaboratory comparison of measurements from filament-stretching rheometers using common test fluids," J. Rheol. 45, 83-114 (2001).
2. Bird, R. B., R. Curtiss, R. C. Armstrong, and O. Hassager, The Dynamics of Polymeric Liquids (Wiley, New York, 1987), Vol. II.
3. Cohen, A., "A Padé approximant to the inverse Langevin function," Rheol. Acta 30, 270-273 (1991).
4. Doi, M., and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
5. Doyle, P., and E. S. G. Shaqfeh, "Dynamic simulation of freely-draining flexible bead-rod chains: Startup of extensional and shear flows." J. Non-Newtonian Fluid Mech. 76, 43-78 (1998); Erratum 92, 275-278 (2000).
6. Doyle, P. S., E. S. G. Shaqfeh, G. H. McKinley, and S. H. Spiegelberg, "Relaxation of dilute polymer solutions in extensional flow." J. Non-Newtonian Fluid Mech. 76, 79-110 (1998).
7. Grassia, P. S., and E. J. Hinch, "Computer simulations of polymer chain relaxation via Brownian motion." J. Fluid Mech. 308, 255-288 (1996).
8. Keunings, R., "On the Peterlin approximation for finitely extensible dumbbells." J. Non-Newtonian Fluid Mech. 68, 85-100 (1997).
9. Kramers, H. A., "The viscosity of macromolecules in a streaming fluid." Physica (Utrecht) 11, 1-19 (1944).
10. Kuhn, W., and F. Grun, "Relationships between elastic constants and stretching double refraction of highly elastic substances." Kolloid-Z. 101, 248-271 (1942).
11. Ladoux, B., and P. S. Doyle, "Stretching tethered DNA chains in shear flow." Europhys. Lett. 52, 511-517 (2000).
12. Langouche, F., and B. Debbaut, "Rheological characterisation of a high density polyethylene with a multi-mode differential viscoelastic model and numerical simulation of transient elongational recovery experiments." Rheol. Acta 38, 48-64 (1999).
13. Li, L., and R. G. Larson, "Excluded volume effects on the birefringence and stress of dilute polymer solutions in extensional flow." Rheol. Acta 39, 419-427 (2000).
14. Li, L., R. G. Larson, and T. Sridhar, "Brownian dynamics simulations of dilute polystyrene solutions." J. Rheol. 44, 291-322 (2000).
15. Marko, J. F., and E. D. Siggia, "Stretching DNA." Macromolecules 28, 8759-8770 (1995).
16. McKinley, G. H., and T. Sridhar, "Filament-stretching rheometry of complex fluids." Annu. Rev. Fluid Mech. 34, 375-415 (2002).
17. Orr, N. V., and T. Sridhar, "Stress relaxation in uniaxial extension." J. Non-Newtonian Fluid Mech. 67, 77-104 (1996).
18. Ottinger, H. C., Stochastic Processes in Polymeric Fluids (Springer, Berlin, 1995).
19. Perkins, T. T., D. E. Smith, R. G. Larson, and S. Chu, "Single polymer dynamics in an elongational flow." Science 268, 83-87 (1995).
20. Somasi, M., B. Komami, N. Woo, J. Hur, and E. S. G. Shaqfeh, "Brownian dynamics simulations of bead-rod and bead-spring chains: Numerical algorithms and coarse graining issues." J. Non-Newtonian Fluid Mech. 108, 227-255 (2002).
21. Spiegelberg, S. H., and G. H. McKinley, "Stress relaxation and decohesion of viscoelastic polymer solutions in extensional flow." J. Non-Newtonian Fluid Mech. 67, 49-76 (1999).
22. Sridhar, T., "From rheometry to rheology," Korea-Aust. Rheol. J. 12, 39-53 (2000).
23. Tirtaatmadja, V., and T. Sridhar, "A filament stretching device for measurement of extensional viscosity," J. Rheol. 37, 1081-1102 (1993).
24. Warner, H. R., "Kinetic theory and rheology of dilute suspensions of finitely extendible dumbbells." Ind. Eng. Chem. Fundam. 11, 379-387 (1972).