From rheometry to rheology

  • Sridhar, T. (Department of Chemical Engineering, Monash University)
  • Published : 2000.03.01

Abstract

Using a variety of examples from the recent literature on extensional flow of polymer solutions, this paper shows that simple constitutive equations are unable to capture the diversity of chain conformations in such flows. Such diversity is a feature of extensional flows and arises because deformation leads to significant chain extension. Substantial local extension appears even at low strains and the behaviour of these stretched out portions influences the dynamics of the chain and makes a dominant contribution to the stress. Both the distribution function and the chain conformation appear to follow different paths during stretching and relaxation. As a result the second moment of the distribution function does not contain enough information to correctly predict the dynamics. Resolution of this deficiency in simple constitutive models is one of the challenges for rheology.

Keywords

References

  1. J. oly. Sci., Poly. Phys. Ed. v.12 Dilute solution rheology of flexible macromolecules (bead-rod model) Acierno, D.;G. Titomanlio;G. Marrucci
  2. An Interlab Comparison of Measurements from Filament-Stretching Rheometers using Common Test Fluids SOR meeting Madison Anna, S. L.;G.H. McKinley;T. Sridhar;S.J. Muller;J. Huang;D.F. James
  3. Kinetic Theory, (2nd Ed.) v.2 Dynamics of Polymeric Liquids Bird, R.B;C.F. Curtiss;R.C. Armstrong;O. Hassager
  4. Tortured chains: an introduction Flexible polymer chain dynamics in elongational flow De Gennes, P.G.;T.Q.Nguyen(ed.);H.H.Kausch(ed.)
  5. J. Non-Newtonian Fluid Mech. v.76 Dynamic simulation of freely-draining, flexible bead-rod chains: Start-up of extensional and shear flow Doyle, P.S.;E.S.G. Shaqfeh
  6. J. Non-Newtonian Fluid Mech. v.76 Relaxation of a dilute polymer solution following extensional flow Doyle, P.S.;E.S.G. Shaqfeh;G.H. McKinley;Spiegelberg, S.H.
  7. Optical rheometry of complex fluids Fuller, G.G.
  8. PhD thesis Studies on uniaxial extension of dilute polymer solutions Gupta, R.K.
  9. Rheolocial Measurements Elongational Rheometers Gupta, R.K.;T. Sridhar;A.A. Collyer(ed.);D.W. Clegg(ed.)
  10. Phys Fluids Extensional viscosity of dilute polystyrene solutions: Effect of concentration and molecular weight Gupta, R.K.;D.A. Nguyen;T. Sridhar
  11. J. Fluid Mech. v.208 Computer simulations of polymer chain relaxation via Brownian motion Grassia, P.S.;E.J. Hinch
  12. J. Non-Newtonian Fluid Mech. v.54 Uncoiling a polymer molecule in a strong extensional flow Hinch, E.J.
  13. J. Non-Newton. Fluid Mech. v.68 On the Peterlin approximation for finitely extensible dumbbells R.Keunings
  14. Rheol. Acta v.36 Transient filament stretching rheometer II: numerical simulation Kolte, M.I.;O. Hassager;H.K. Rasmussen
  15. Constitutive Equations for Polymer Melts and Solutions Larson, R.G.
  16. The structure and rheology of complex fluids Larson, R.G.
  17. J. Rheol. v.43 Brownian dynamics simulation of a DNA molecule in an extensional flow field Larson, R.G.;H. Hua;D.E. Smith;S. Chu
  18. J. Rheol. Brownian dynamics simulation in dilute polystyrene solutions Li, L.;R.G. Larson;T. Sridhar
  19. J. Non-Newtonian Fluid Mech. v.76 New closure approximations for the kinetic theory of finitely extensible dumbbells Liliens, G.;H. Halin;I. Jaumain;R. Keunings;V. Legat
  20. Extensional flow and instabilities of elastic polymer solutions Dynamics of complex fluids McKinley, G.H.;M.J. Adams(ed.);R.A. Mashelkar(ed.);J.R.A. Pearson(ed.);A.R. Rennie
  21. PhD Thesis Dynamics of polymer molecules in extensional flow Orr, N.V.
  22. J. Non-Newtonian Fluid Mech. v.67 Stress relaxation in uniaxial extension Orr, N.V.;T. Sridhar
  23. J. Non-Newtonian Fluid Mech. v.82 Probing the dynamics of polymer solutions in extensional flow using step strain rate experiments Orr, N.V.;T. Sridhar
  24. Stochastic Processes in polymeric Fluid Ottinger, H.C.
  25. Science v.264 Relaxation of a single molecule observed by optical microscopy Perkins, T.T.;S.R. Quake;D.E. Smith;S. Chu
  26. Single polymers in elongational flows: dynamic, steady state, and population averaged properties, Flexible polymer chain dynamics in elongationa flow Perkins, T.T.;D.E. Smith;S. Chu;T.Q.Nguyen(ed.);H.H.Kausch(ed.)
  27. Science v.276 Single ploymer dynamics in elongational flow Perkins, T.T.;D.E. Smith;S. Chu
  28. Pure Appl. Chem. v.12 Hydrodynamics of linear macromolecules Peterlin, A.
  29. Rheol. Acta v.34 Extensional flow a mathematical perspective Petrie, C.J.S.
  30. J. Non-Newtonian Fluid Mech. v.68 Dissipative stresses in dilute polymer solutions Rallison, J.M.
  31. J. Non-Newtonian Fluid Mech. v.76 Viscous and elastic stresses in extensional rheometry Remmelgas, J.;L.G. Leal;N.V. Orr;T. Sridhar
  32. J. Non-Newtonian Fluid Mech. v.71 Finite element simulation of a filament stretching rheometer Sizaire, R.;V. Legat
  33. J. Non-Newtonian Fluid Mech. v.82 On the hysteretic behaviour of dilute polymer solutions in relaxation following extensional flow Sizaire, R;G. Liliens;I. Jaumain;R. Keunings;V. Legat
  34. Science v.281 Response of flexible polymers to a sudden elongational flow Smith, D.E.;S. Chu
  35. J. Rheol. v.40 The transient extensional behaviour of polystyrene based Boger fluids of varying solvent quality and molecular weight Solomon, M.J.;S.J. Muller
  36. J. Non-Newtonian Fluid Mech. v.64 Measurement of extensional viscosity for viscous polymer solutions with a filament stretching rheometer Spiegelberg, S.H.;D.C. Ables;G.H. Mckinley
  37. J. Non-Newtonian Fluid Mech. v.67 Stress relaxation and elastic decohesion of viscoelastic polymer solutions in extensional flow Spiegelberg, S.H.;G.H. Mckinley
  38. J. Non-Newtonian Fluid Mech. v.35 An overview of the project M1 Sridhar, T.
  39. J. Non-Newtonian Fluid Mech. Birefringence and stress growth in uniaxial extension of polymer solutions Sridhar, T.;D.A. Nguyen;G.G. Fuller
  40. J. Non-Newtonian Fluid Mech. v.40 Measurement of extensional viscosity of polymer solutions Sridhar, T.;V. Tirtaatmadja;D.A. Nguyen;R.K. Gupta
  41. J. Rheol. v.37 A Filament stretching device for measurement of extensional viscosity Tirtaatmadja, V.;T. Sridhar
  42. J. Non-Newtonian Fluid Mech. v.47 Brownian dynamics simulation of finitely extensible bead-spring chains Van Den Brule, B.H.A.A.
  43. J. Non-Newtonian Fluid Mech. v.67 Elongation and subsequent relaxation measurement in dilute polyisobutylene solutions Von Nieuwkoop, J.;M.M.O. Muller von Czernicki
  44. Rheol Acta v.28 A differential constitutive equation for polymer melts Wiest, J.M.
  45. J. Non-Newtonian Fluid Mech. v.74 Numerical simulation of extensional deformations of viscoelastic liquid bridges in fliament-stretching devices Yao, M.;G.H. McKinley