Strain Sweeps from Oldroyd 8-Constant Framework

摘要

Large-amplitude oscillatory shear flow is a popular experiment for studying the nonlinear physics of complex fluids. Specifically, the strain sweep is used routinely to identify when a complex fluid begins to exhibit nonlinear behavior. In this paper, we give the exact shear stress expression for the Oldroyd 8-constant framework evaluated for large-amplitude oscillatory shear flow(LAOS). We choose the Oldroyd 8-constant framework for its rich diversity of popular special cases(we list 14 of these cases). From our shear stress expression, we get exact expressions for the real and imaginary parts of the complex viscosity as functions of both the test frequency, and the shear rate amplitude. We then demonstrate the use of our results for our favorite special case of the Oldroyd 8-constant framework, the corotational Jeffreys model. In our Worked Example, we use this case to explore the influence of η∞ on the strain sweep response. We find that increasing η∞ raises the real part of the complex viscosity, and decreases its imaginary part.