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Abstract

Polymer melt testing devices now commercially available are adequate for studies of the viscometric functions up to moderately high shear rates and the complex viscosity over a wide range of frequencies. However, these devices have characteristics which limit their effectiveness at large shear rates or amplitudes of oscillation. For example in the cone-plate system, material is thrown out of the gap at large rates of rotation or large amplitudes of oscillation. In the case of the capillary viscometer, pressure and temperature are highly nonuniform at large shear rates. This paper describes a rheometer design for measurement of the shear viscosity of melts at high shear rates and also the response to large amplitude oscillatory shear. But only applications to the study of oscillatory shear will be discussed in detail.

Abbreviations

Nomenclature

C

Cauchy-Green strain tensor

C−1

Finger strain tensor

h

gap spacing

k

thermal conductivity

ΔT

difference between maximum and minimum temperatures in sheared fluid

II

second invariant of rate-of-strain tensor; Δ: Δ

Greek Letters

β

material constant of second-order fluid

γ

material constant of second-order fluid

γo

shear strain amplitude

\( \dot \gamma \)

shear rate in simple shear

\( \dot \gamma _0 \)

0 maximum shear rate; equal to y

Δ

rate-of-deformation tensor; grad velocity plus its transpose

ε

material constant in eq. [8]

η

viscosity

η*

complex viscosity

ή

dynamic viscosity

λ

characteristic time of fluid μ material constant with units of viscosity

ϱ

fluid density

τ

viscous or extra stress tensor

ω

frequency (radians/sec.)

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Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • J. M. Dealy
    • 1
  • T. T. Tee
    • 1
  • J. F. Petersen
    • 2
  1. 1.Department of Chemical EngineeringMcGill UniversityMontrealCanada
  2. 2.Veba-Chemie AGGelsenkirchen-BuerGermany

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