Korea-Australia Rheology Journal

, Volume 31, Issue 4, pp 255–266 | Cite as

Uniaxial extensional viscosity of semidilute DNA solutions

  • Sharadwata Pan
  • Duc At Nguyen
  • P. Sunthar
  • T. Sridhar
  • J. Ravi PrakashEmail author


The extensional rheology of polymer melts and dilute polymer solutions has been extensively examined through experiments and theoretical predictions. However, a systematic study of the extensional rheology of polymer solutions in the semidilute regime, in terms of examining the effects of concentration and molecular weight, has not been carried out so far. Previous experimental studies of the shear rheology of semidilute polymer solutions have demonstrated that their behaviour is distinctively different from that observed in the dilute and concentrated regimes. This difference in behaviour is anticipated to be even more pronounced in extensional flows, which play a critical role in a number of industrial contexts such as fiber spinning and ink-jet printing. In this work, the extensional rheology of linear, double-stranded DNA molecules, spanning an order of magnitude of molecular weights (25-289 kilobasepairs) and concentrations (0.03-0.3 mg/ml), has been investigated. DNA solutions are now used routinely as model polymeric systems due to their near-perfect monodispersity. Measurements have been carried out with a filament stretching rheometer since it is the most reliable method for obtaining an estimate of the elongational stress growth of a polymer solution. Transient and steady-state uniaxial extensional viscosities of DNA dissolved in a solvent under excess salt conditions, with a high concentration of sucrose in order to achieve a sufficiently high solvent viscosity, have been determined in the semidilute regime at room temperature. The dependence of the steady state uniaxial extensional viscosity on molecular weight, concentration and extension rate is measured with a view to determining if data collapse can be observed with an appropriate choice of variables. Steady state shear viscosity measurements suggest that sucrose-DNA interactions might play a role in determining the observed rheological behaviour of semidilute DNA solutions with sucrose as a component in the solvent.


double-stranded DNA steady state uniaxial extensional viscosity semidilute regime filament stretching rheometer 


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This work was supported by the ARC Discovery Projects grant arrangement (Project No. DP120101322). Douglas Smith at UCSD and Brad Olsen at MIT are thanked for their generous gifts of the originally synthesized 25 kbp Fosmid and 289 kbp BAC DNA constructs as agar stab cultures of E. coli. Authors would like to acknowledge Michael Danquah (previously at Monash University), for facilitating lab space as well as DNA isolation amenities. IIT-B Monash research Academy at IIT Bombay, India is thanked for funding and overall provisions. We also thank the anonymous referee for helpful suggestions that have improved the quality of the paper.


  1. Anna, S.L., G.H. McKinley, D.A. Nguyen, T. Sridhar, S.J. Muller, J. Huang, and D.F. James. 2001. An interlaboratory comparison of measurements from filament-stretching rheometers using common test fluids, J. Rheol.45, 83–114.CrossRefGoogle Scholar
  2. Bach, A., H.K. Rasmussen, and O. Hassager. 2003. Extensional viscosity for polymer melts measured in the filament stretching rheometer, J. Rheol.47, 429–441.CrossRefGoogle Scholar
  3. Bhattacharjee, P.K., D.A. Nguyen, G.H. McKinley, and T. Sridhar. 2003. Extensional stress growth and stress relaxation in entangled polymer solutions, J. Rheol.47, 269–290.CrossRefGoogle Scholar
  4. Brockman, C., S.J. Kim, and C.M. Schroeder. 2011. Direct observation of single flexible polymers using single stranded DNA, Soft Matter 7. 8005–8012.Google Scholar
  5. Christanti, Y. and L.M. Walker. 2001. Surface tension driven jet break up of strain-hardening polymer solutions, J. Non-Newton. Fluid Mech.100, 9–26.CrossRefGoogle Scholar
  6. Clasen, C. 2010. Capillary breakup extensional rheometry of semi-dilute polymer solutions, Korea-Aust. Rheol. J.22, 331–338.Google Scholar
  7. Dinic, J., L.N. Jimenez, and V. Sharma. 2017. Pinch-off dynamics and dripping-onto-substrate (DoS) rheometry of complex fluids, Lab Chi.17, 460–473.CrossRefGoogle Scholar
  8. Dinic, J., M. Biagioli, and V. Sharma. 2017. Pinch-off dynamics and extensional relaxation times of intrinsically semi-dilute polymer solutions characterized by dripping-onto-substrate rheometry, J. Polym. Sci. Pt. B-Polym. Phys.55. 1692–1704.CrossRefGoogle Scholar
  9. Dinic, J. and V. Sharma. 2019. Macromolecular relaxation, strain, and extensibility determine elastocapillary thinning and extensional viscosity of polymer solutions, Proc. Natl. Acad. Sci. U.S.A.116. 8766–8774.CrossRefGoogle Scholar
  10. Goudoulas, T.B., S. Pan, and N. Germann. 2018. Double-stranded and single-stranded well-entangled DNA solutions under LAOS: A comprehensive study, Polyme. 140, 240–254.CrossRefGoogle Scholar
  11. Gupta, R.K., D.A. Nguyen, and T. Sridhar. 2000. Extensional viscosity of dilute polystyrene solutions: Effect of concentration and molecular weight, Phys. Fluids12. 1296–1318.CrossRefGoogle Scholar
  12. Heo, Y. and R.G. Larson. 2005. The scaling of zero-shear viscosities of semidilute polymer solutions with concentration, J. Rheol.49. 1117–1128.CrossRefGoogle Scholar
  13. Hsiao, K.-W., C. Sasmal, J. Ravi Prakash, and C.M. Schroeder. 2017. Direct observation of DNA dynamics in semidilute solutions in extensional flow, J. Rheol.61, 151–167.CrossRefGoogle Scholar
  14. Huang, C.C., R.G. Winkler, G. Sutmann, and G. Gompper. 2010. Semidilute polymer solutions at equilibrium and under shear flow, Macromolecules43. 1010–10116.Google Scholar
  15. Hur, J.S. E.S.G. Shaqfeh, H.P. Babcock, D.E. Smith, and S. Chu. 2001. Dynamics of dilute and semidilute DNA solutions in the start-up of shear flow, J. Rheol.45, 421–450.CrossRefGoogle Scholar
  16. Laib, S., R.M. Robertson, and D.E. Smith. 2006. Preparation and characterization of a set of linear DNA molecules for polymer physics and rheology studies, Macromolecules39. 4115–4119.CrossRefGoogle Scholar
  17. Larson, R.G. and P.S. Desai. 2015. Modeling the rheology of polymer melts and solutions, Annu. Rev. Fluid Mech.47, 47–65.CrossRefGoogle Scholar
  18. McKinley, G.H. and O. Hassager. 1999. The Considere condition and rapid stretching of linear and branched polymer melts, J. Rheol.43. 1195. 1212.CrossRefGoogle Scholar
  19. McKinley, G.H. and T. Sridhar. 2002. Filament-stretching rheometry of complex fluids, Annu. Rev. Fluid Mech.34, 375–415.CrossRefGoogle Scholar
  20. Nguyen, D.A., P.K. Bhattacharjee, and T. Sridhar. 2015. Response of an entangled polymer solution to uniaxial and planar deformation, J. Rheol.59, 821–833.CrossRefGoogle Scholar
  21. Pan, S., D. Ahirwal, D.A. Nguyen, T. Sridhar, P. Sunthar, and J.R. Prakash. 2014. viscosity radius of polymers in dilute solutions: Universal behaviour from DNA rheology and Brownian dynamics simulations, Macromolecules47. 7548–7560.CrossRefGoogle Scholar
  22. Pan, S., D.A. Nguyen, B. Dünweg, P. Sunthar, T. Sridhar, and J. Ravi Prakash. 2018. Shear thinning in dilute and semidilute solutions of polystyrene and DNA, J. Rheol.62, 845–867.CrossRefGoogle Scholar
  23. Pan, S., D.A. Nguyen, T. Sridhar, P. Sunthar, and J. Ravi Prakash. 2014. Universal solvent quality crossover of the zero shear rate viscosity of semidilute DNA solutions, J. Rheol.58, 339–368.CrossRefGoogle Scholar
  24. Pecora, R. 1991. DNA: A model compound for solution studies of macromolecules, Scienc. 251, 893–898.CrossRefGoogle Scholar
  25. Prakash, J.R. 2019. Universal dynamics of dilute and semidilute solutions of flexible linear polymers, Curr. Opin. Colloid Interface Sci.43, 63–79.CrossRefGoogle Scholar
  26. Regan, K., S. Ricketts, and R.M. Robertson-Anderson. 2016. DNA as a model for probing polymer entanglements: Circular polymers and non-classical dynamics, Polymer. 8, 336.CrossRefGoogle Scholar
  27. Rubinstein, M. and R.H. Colby. 2003. Polymer Physics, Oxford University Press, New York.Google Scholar
  28. Sambrook, J. and D.W. Russell. 2001. Molecular Cloning: A Laboratory Manual, 3rd Ed., Cold Spring Harbor Laboratory Press, New York.Google Scholar
  29. Sasmal, C., K.-W. Hsiao, C.M. Schroeder, and J. Ravi Prakash. 2017. Parameter-free prediction of DNA dynamics in planar extensional flow of semidilute solutions, J. Rheol.61, 169–186.CrossRefGoogle Scholar
  30. Schroeder, C.M. 2018. Single polymer dynamics for molecular rheology, J. Rheol.62, 371–403.CrossRefGoogle Scholar
  31. Shaqfeh, E.S.G. 2005. The dynamics of single-molecule DNA in flow, J. Non-Newton. Fluid Mech.130, 1–28.CrossRefGoogle Scholar
  32. Sridhar, T., M. Acharya, D.A. Nguyen, and P.K. Bhattacharjee. 2013. On the extensional rheology of polymer melts and concentrated solutions, Macromolecule. 47, 379–386.CrossRefGoogle Scholar
  33. Sridhar, T., V. Tirtaatmadja, D.A. Nguyen, and R.K. Gupta. 1991. Measurement of extensional viscosity of polymer solutions, J. Non-Newton. Fluid Mech.40, 271–280.CrossRefGoogle Scholar
  34. Stoltz, C., J.J. de Pablo, and M.D. Graham. 2006. Concentration dependence of shear and extensional rheology of polymer solutions: Brownian dynamics simulations, J. Rheol.50, 137–167.CrossRefGoogle Scholar
  35. Sunthar, P., D.A. Nguyen, R. Dubbelboer, J.R. Prakash, and T. Sridhar. 2005. Measurement and prediction of the elongational stress growth in a dilute solution of DNA molecules, Macromolecules38. 1020–10209.Google Scholar
  36. Tajmir-Riahi, H.A., M. Naoui, and S. Diamantoglou. 1994. DNAcarbohydrate interaction. The effects of mono- and disaccharides on the solution structure of calf-thymus DNA, J. Biomol. Struct. Dyn.12, 217–234.CrossRefGoogle Scholar
  37. Tirtaatmadja, V. and T. Sridhar. 1993. A filament stretching device for measurement of extensional viscosity, J. Rheol.37. 1081–1102.CrossRefGoogle Scholar
  38. Wang, Y., S. Cheng, and S.-Q. Wang. 2011. Basic characteristics of uniaxial extension rheology: Comparing monodisperse and bidisperse polymer melts, J. Rheol.55. 1247–1270.CrossRefGoogle Scholar
  39. Wang, Y. and S.-Q. Wang. 2011. Salient features in uniaxial extension of polymer melts and solutions: Progressive loss of entanglements, yielding, non-Gaussian stretching, and rupture, Macromolecules44. 5427–5435.CrossRefGoogle Scholar

Copyright information

© The Korean Society of Rheology and Springer 2019

Authors and Affiliations

  • Sharadwata Pan
    • 1
    • 2
    • 3
  • Duc At Nguyen
    • 3
  • P. Sunthar
    • 1
    • 2
  • T. Sridhar
    • 1
    • 3
  • J. Ravi Prakash
    • 1
    • 3
    Email author
  1. 1.IITB-Monash Research AcademyIndian Institute of Technology BombayPowaiIndia
  2. 2.Department of Chemical EngineeringIndian Institute of Technology BombayPowaiIndia
  3. 3.Department of Chemical EngineeringMonash UniversityMelbourneAustralia

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