Parameter estimation on polymer solutions with fractional viscoelastic model

The rheological properties of polymer solutions are extremely complex and it leads to a specific power-law behavior in response to creep experiments, which can not be better characterized by the classical viscoelastic constitutive models. The renowned viscoelastic fluid models with fractional derivatives have shown astonishing advantages in characterizing the broad relaxation process of the multiple materials with power-law response behavior. In this paper, we use the fractional Maxwell constitutive model to simulate the power-law responses for several polymer solutions through experimental measuring, and better fitting results than classical models can be found.